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MCQOPTIONS
This section includes 8666 Mcqs, each offering curated multiple-choice questions to sharpen your Joint Entrance Exam - Main (JEE Main) knowledge and support exam preparation. Choose a topic below to get started.
| 5351. |
The equation of the circle touching \[x=0,y=0\] and \[x=4\] is [UPSEAT 2004] |
| A. | \[{{x}^{2}}+{{y}^{2}}-4x-4y+16=0\] |
| B. | \[{{x}^{2}}+{{y}^{2}}-8x-8y+16=0\] |
| C. | \[{{x}^{2}}+{{y}^{2}}+4x+4y+4=0\] |
| D. | \[{{x}^{2}}+{{y}^{2}}-4x-4y+4=0\] |
| Answer» E. | |
| 5352. |
Centre of the circle \[{{(x-3)}^{2}}+{{(y-4)}^{2}}=5\] is [MP PET 1988] |
| A. | (3, 4) |
| B. | \[(-3,\ -4)\] |
| C. | (4, 3) |
| D. | \[(-4,\ -3)\] |
| Answer» B. \[(-3,\ -4)\] | |
| 5353. |
The equation of the circle which touches both the axes and whose radius is a, is [MP PET 1984] |
| A. | \[{{x}^{2}}+{{y}^{2}}-2ax-2ay+{{a}^{2}}=0\] |
| B. | \[{{x}^{2}}+{{y}^{2}}+ax+ay-{{a}^{2}}=0\] |
| C. | \[{{x}^{2}}+{{y}^{2}}+2ax+2ay-{{a}^{2}}=0\] |
| D. | \[{{x}^{2}}+{{y}^{2}}-ax-ay+{{a}^{2}}=0\] |
| Answer» B. \[{{x}^{2}}+{{y}^{2}}+ax+ay-{{a}^{2}}=0\] | |
| 5354. |
The equation of the circle whose diameters have the end points (a, 0) (0, b) is given by [MP PET 1993] |
| A. | \[{{x}^{2}}+{{y}^{2}}-ax-by=0\] |
| B. | \[{{x}^{2}}+{{y}^{2}}+ax-by=0\] |
| C. | \[{{x}^{2}}+{{y}^{2}}-ax+by=0\] |
| D. | \[{{x}^{2}}+{{y}^{2}}+ax+by=0\] |
| Answer» B. \[{{x}^{2}}+{{y}^{2}}+ax-by=0\] | |
| 5355. |
The number of circles touching the lines \[x=0\], \[y=a\] and \[y=b\] is |
| A. | One |
| B. | Two |
| C. | Four |
| D. | Infinite |
| Answer» C. Four | |
| 5356. |
The equation of the circle which touches x-axis at (3, 0) and passes through (1, 4) is given by [MP PET 1993] |
| A. | \[{{x}^{2}}+{{y}^{2}}-6x-5y+9=0\] |
| B. | \[{{x}^{2}}+{{y}^{2}}+6x+5y-9=0\] |
| C. | \[{{x}^{2}}+{{y}^{2}}-6x+5y-9=0\] |
| D. | \[{{x}^{2}}+{{y}^{2}}+6x-5y+9=0\] |
| Answer» B. \[{{x}^{2}}+{{y}^{2}}+6x+5y-9=0\] | |
| 5357. |
The equation of the circle with centre on x-axis, radius 5 and passing through the point (2, 3), is |
| A. | \[{{x}^{2}}+{{y}^{2}}+4x-21=0\] |
| B. | \[{{x}^{2}}+{{y}^{2}}+4x+21=0\] |
| C. | \[{{x}^{2}}+{{y}^{2}}-4x-21=0\] |
| D. | \[{{x}^{2}}+{{y}^{2}}+5x-21=0\] |
| Answer» B. \[{{x}^{2}}+{{y}^{2}}+4x+21=0\] | |
| 5358. |
For the circle \[{{x}^{2}}+{{y}^{2}}+3x+3y=0\], which of the following relations is true |
| A. | Centre lies on x-axis |
| B. | Centre lies on y-axis |
| C. | Centre is at origin |
| D. | Circle passes through origin |
| Answer» E. | |
| 5359. |
The equation of the circle which passes through the origin and cuts off intercepts of 2 units length from negative coordinate axes, is |
| A. | \[{{x}^{2}}+{{y}^{2}}-2x+2y=0\] |
| B. | \[{{x}^{2}}+{{y}^{2}}+2x-2y=0\] |
| C. | \[{{x}^{2}}+{{y}^{2}}+2x+2y=0\] |
| D. | \[{{x}^{2}}+{{y}^{2}}-2x-2y=0\] |
| Answer» D. \[{{x}^{2}}+{{y}^{2}}-2x-2y=0\] | |
| 5360. |
The equation of the circle with centre on the x-axis, radius 4 and passing through the origin, is |
| A. | \[{{x}^{2}}+{{y}^{2}}+4x=0\] |
| B. | \[{{x}^{2}}+{{y}^{2}}-8y=0\] |
| C. | \[{{x}^{2}}+{{y}^{2}}\pm 8x=0\] |
| D. | \[{{x}^{2}}+{{y}^{2}}+8y=0\] |
| Answer» D. \[{{x}^{2}}+{{y}^{2}}+8y=0\] | |
| 5361. |
If the circle \[{{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0\] touches x-axis, then |
| A. | \[g=f\] |
| B. | \[{{g}^{2}}=c\] |
| C. | \[{{f}^{2}}=c\] |
| D. | \[{{g}^{2}}+{{f}^{2}}=c\] |
| Answer» C. \[{{f}^{2}}=c\] | |
| 5362. |
If the radius of the circle \[{{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0\] be r, then it will touch both the axes, if |
| A. | \[g=f=r\] |
| B. | \[g=f=c=r\] |
| C. | \[g=f=\sqrt{c}=r\] |
| D. | \[g=f\] and \[{{c}^{2}}=r\] |
| Answer» D. \[g=f\] and \[{{c}^{2}}=r\] | |
| 5363. |
Which of the following line is a diameter of the circle \[{{x}^{2}}+{{y}^{2}}-6x-8y-9=0\] |
| A. | \[3x-4y=0\] |
| B. | \[4x-3y=9\] |
| C. | \[x+y=7\] |
| D. | \[x-y=1\] |
| Answer» D. \[x-y=1\] | |
| 5364. |
A circle is concentric with the circle \[{{x}^{2}}+{{y}^{2}}-6x+12y+15=0\] and has area double of its area. The equation of the circle is |
| A. | \[{{x}^{2}}+{{y}^{2}}-6x+12y-15=0\] |
| B. | \[{{x}^{2}}+{{y}^{2}}-6x+12y+15=0\] |
| C. | \[{{x}^{2}}+{{y}^{2}}-6x+12y+45=0\] |
| D. | None of these |
| Answer» B. \[{{x}^{2}}+{{y}^{2}}-6x+12y+15=0\] | |
| 5365. |
The equations of the circles touching both the axes and passing through the point (1, 2) are |
| A. | \[{{x}^{2}}+{{y}^{2}}-2x-2y+1=0,\ {{x}^{2}}+{{y}^{2}}-10x-10y+25=0\] |
| B. | \[{{x}^{2}}+{{y}^{2}}-2x-2y-1=0,\ {{x}^{2}}+{{y}^{2}}-10x-10y-25=0\] |
| C. | \[{{x}^{2}}+{{y}^{2}}+2x+2y+1=0,\ {{x}^{2}}+{{y}^{2}}+10x+10y+25=0\] |
| D. | None of these |
| Answer» B. \[{{x}^{2}}+{{y}^{2}}-2x-2y-1=0,\ {{x}^{2}}+{{y}^{2}}-10x-10y-25=0\] | |
| 5366. |
The equation \[a{{x}^{2}}+b{{y}^{2}}+2hxy+2gx+2fy+c=0\] will represent a circle, if [MNR 1979; MP PET 1988; RPET 1997, 2003] |
| A. | \[a=b=0\] and \[c=0\] |
| B. | \[f=g\] and \[h=0\] |
| C. | \[a=b\ne 0\] and \[h=0\] |
| D. | \[f=g\] and \[c=0\] |
| Answer» D. \[f=g\] and \[c=0\] | |
| 5367. |
The equation of the circle passing through the points (0, 0), (0, b) and (a, b) is [AMU 1978] |
| A. | \[{{x}^{2}}+{{y}^{2}}+ax+by=0\] |
| B. | \[{{x}^{2}}+{{y}^{2}}-ax+by=0\] |
| C. | \[{{x}^{2}}+{{y}^{2}}-ax-by=0\] |
| D. | \[{{x}^{2}}+{{y}^{2}}+ax-by=0\] |
| Answer» D. \[{{x}^{2}}+{{y}^{2}}+ax-by=0\] | |
| 5368. |
The equation of the circle with centre at (1, ?2) and passing through the centre of the given circle \[{{x}^{2}}+{{y}^{2}}+2y-3=0\], is |
| A. | \[{{x}^{2}}+{{y}^{2}}-2x+4y+3=0\] |
| B. | \[{{x}^{2}}+{{y}^{2}}-2x+4y-3=0\] |
| C. | \[{{x}^{2}}+{{y}^{2}}+2x-4y-3=0\] |
| D. | \[{{x}^{2}}+{{y}^{2}}+2x-4y+3=0\] |
| Answer» B. \[{{x}^{2}}+{{y}^{2}}-2x+4y-3=0\] | |
| 5369. |
The equation of the circle which passes through the points (2, 3) and (4, 5) and the centre lies on the straight line \[y-4x+3=0\], is [RPET 1985; MP PET 1989] |
| A. | \[{{x}^{2}}+{{y}^{2}}+4x-10y+25=0\] |
| B. | \[{{x}^{2}}+{{y}^{2}}-4x-10y+25=0\] |
| C. | \[{{x}^{2}}+{{y}^{2}}-4x-10y+16=0\] |
| D. | \[{{x}^{2}}+{{y}^{2}}-14y+8=0\] |
| Answer» C. \[{{x}^{2}}+{{y}^{2}}-4x-10y+16=0\] | |
| 5370. |
A circle touches x-axis and cuts off a chord of length 2l from y-axis. The locus of the centre of the circle is |
| A. | A straight line |
| B. | A circle |
| C. | An ellipse |
| D. | A hyperbola |
| Answer» E. | |
| 5371. |
The equation of circle passing through (4, 5) and having the centre at (2, 2), is [MNR 1986; MP PET 1984] |
| A. | \[{{x}^{2}}+{{y}^{2}}+4x+4y-5=0\] |
| B. | \[{{x}^{2}}+{{y}^{2}}-4x-4y-5=0\] |
| C. | \[{{x}^{2}}+{{y}^{2}}-4x=13\] |
| D. | \[{{x}^{2}}+{{y}^{2}}-4x-4y+5=0\] |
| Answer» C. \[{{x}^{2}}+{{y}^{2}}-4x=13\] | |
| 5372. |
The locus of the centre of the circle which cuts a chord of length 2a from the positive x-axis and passes through a point on positive y-axis distant b from the origin is |
| A. | \[{{x}^{2}}+2by={{b}^{2}}+{{a}^{2}}\] |
| B. | \[{{x}^{2}}-2by={{b}^{2}}+{{a}^{2}}\] |
| C. | \[{{x}^{2}}+2by={{a}^{2}}-{{b}^{2}}\] |
| D. | \[{{x}^{2}}-2by={{b}^{2}}-{{a}^{2}}\] |
| Answer» D. \[{{x}^{2}}-2by={{b}^{2}}-{{a}^{2}}\] | |
| 5373. |
For the line \[3x+2y=12\] and the circle \[{{x}^{2}}+{{y}^{2}}-4x-6y+3=0\], which of the following statements is true |
| A. | Line is a tangent to the circle |
| B. | Line is a chord of the circle |
| C. | Line is a diameter of the circle |
| D. | None of these |
| Answer» D. None of these | |
| 5374. |
Equation of the circle which touches the lines \[x=0,\ y=0\] and \[3x+4y=4\] is [MP PET 1991] |
| A. | \[{{x}^{2}}-4x+{{y}^{2}}+4y+4=0\] |
| B. | \[{{x}^{2}}-4x+{{y}^{2}}-4y+4=0\] |
| C. | \[{{x}^{2}}+4x+{{y}^{2}}+4y+4=0\] |
| D. | \[{{x}^{2}}+4x+{{y}^{2}}-4y+4=0\] |
| Answer» C. \[{{x}^{2}}+4x+{{y}^{2}}+4y+4=0\] | |
| 5375. |
For the circle \[{{x}^{2}}+{{y}^{2}}+6x-8y+9=0\], which of the following statements is true |
| A. | Circle passes through the point \[(-3,\ 4)\] |
| B. | Circle touches x-axis |
| C. | Circle touches y-axis |
| D. | None of these |
| Answer» C. Circle touches y-axis | |
| 5376. |
The equation of the circle having centre \[(1,\ -2)\] and passing through the point of intersection of lines \[3x+y=14\], \[2x+5y=18\] is [MP PET 1990] |
| A. | \[{{x}^{2}}+{{y}^{2}}-2x+4y-20=0\] |
| B. | \[{{x}^{2}}+{{y}^{2}}-2x-4y-20=0\] |
| C. | \[{{x}^{2}}+{{y}^{2}}+2x-4y-20=0\] |
| D. | \[{{x}^{2}}+{{y}^{2}}+2x+4y-20=0\] |
| Answer» B. \[{{x}^{2}}+{{y}^{2}}-2x-4y-20=0\] | |
| 5377. |
Circle \[{{x}^{2}}+{{y}^{2}}+6y=0\]touches |
| A. | y-axis at the origin |
| B. | x-axis at the origin |
| C. | x-axis at the point (3, 0) |
| D. | The line \[y+3=0\] |
| Answer» C. x-axis at the point (3, 0) | |
| 5378. |
The equation of the circle passing through the origin and cutting intercepts of length 3 and 4 units from the positive axes, is |
| A. | \[{{x}^{2}}+{{y}^{2}}+6x+8y+1=0\] |
| B. | \[{{x}^{2}}+{{y}^{2}}-6x-8y=0\] |
| C. | \[{{x}^{2}}+{{y}^{2}}+3x+4y=0\] |
| D. | \[{{x}^{2}}+{{y}^{2}}-3x-4y=0\] |
| Answer» E. | |
| 5379. |
For all values of \[\theta \], the locus of the point of intersection of the lines \[x\cos \theta +y\sin \theta =a\] and \[x\sin \theta -y\cos \theta =b\] is |
| A. | An ellipse |
| B. | A circle |
| C. | A parabola |
| D. | A hyperbola |
| Answer» E. | |
| 5380. |
If one end of a diameter of the circle \[{{x}^{2}}+{{y}^{2}}-4x-6y+11=0\]be (3, 4), then the other end is [MP PET 1986; BIT Ranchi 1991] |
| A. | (0, 0) |
| B. | (1, 1) |
| C. | (1, 2) |
| D. | (2, 1) |
| Answer» D. (2, 1) | |
| 5381. |
The equation of a circle which touches both axes and the line \[3x-4y+8=0\] and whose centre lies in the third quadrant is [MP PET 1986] |
| A. | \[{{x}^{2}}+{{y}^{2}}-4x+4y-4=0\] |
| B. | \[{{x}^{2}}+{{y}^{2}}-4x+4y+4=0\] |
| C. | \[{{x}^{2}}+{{y}^{2}}+4x+4y+4=0\] |
| D. | \[{{x}^{2}}+{{y}^{2}}-4x-4y-4=0\] |
| Answer» D. \[{{x}^{2}}+{{y}^{2}}-4x-4y-4=0\] | |
| 5382. |
If the vertices of a triangle be \[(2,\ -2)\], \[(-1,\ -1)\] and (5, 2), then the equation of its circumcircle is |
| A. | \[{{x}^{2}}+{{y}^{2}}+3x+3y+8=0\] |
| B. | \[{{x}^{2}}+{{y}^{2}}-3x-3y-8=0\] |
| C. | \[{{x}^{2}}+{{y}^{2}}-3x+3y+8=0\] |
| D. | None of these |
| Answer» C. \[{{x}^{2}}+{{y}^{2}}-3x+3y+8=0\] | |
| 5383. |
The equation of the circle passing through the point \[(-1,\ -3)\] and touching the line \[4x+3y-12=0\] at the point (3, 0), is |
| A. | \[{{x}^{2}}+{{y}^{2}}-2x+3y-3=0\] |
| B. | \[{{x}^{2}}+{{y}^{2}}+2x-3y-5=0\] |
| C. | \[2{{x}^{2}}+2{{y}^{2}}-2x+5y-8=0\] |
| D. | None of these |
| Answer» B. \[{{x}^{2}}+{{y}^{2}}+2x-3y-5=0\] | |
| 5384. |
The equation of the circle in the first quadrant touching each coordinate axis at a distance of one unit from the origin is [RPET 1991; MP PET 1987, 89] |
| A. | \[{{x}^{2}}+{{y}^{2}}-2x-2y+1=0\] |
| B. | \[{{x}^{2}}+{{y}^{2}}-2x-2y-1=0\] |
| C. | \[{{x}^{2}}+{{y}^{2}}-2x-2y=0\] |
| D. | None of these |
| Answer» B. \[{{x}^{2}}+{{y}^{2}}-2x-2y-1=0\] | |
| 5385. |
ABC is a triangle in which angle C is a right angle. If the coordinates of A and B be (?3, 4) and (3,?4) respectively, then the equation of the circumcircle of triangle ABC is |
| A. | \[{{x}^{2}}+{{y}^{2}}-6x+8y=0\] |
| B. | \[{{x}^{2}}+{{y}^{2}}=25\] |
| C. | \[{{x}^{2}}+{{y}^{2}}-3x+4y+5=0\] |
| D. | None of these |
| Answer» C. \[{{x}^{2}}+{{y}^{2}}-3x+4y+5=0\] | |
| 5386. |
Centre of circle \[(x-{{x}_{1}})(x-{{x}_{2}})\] \[+(y-{{y}_{1}})(y-{{y}_{2}})\] \[=0\] is |
| A. | \[\left( \frac{{{x}_{1}}+{{y}_{1}}}{2},\ \frac{{{x}_{2}}+{{y}_{2}}}{2} \right)\] |
| B. | \[\left( \frac{{{x}_{1}}-{{y}_{1}}}{2},\ \frac{{{x}_{2}}-{{y}_{2}}}{2} \right)\] |
| C. | \[\left( \frac{{{x}_{1}}+{{x}_{2}}}{2},\ \frac{{{y}_{1}}+{{y}_{2}}}{2} \right)\] |
| D. | \[\left( \frac{{{x}_{1}}-{{x}_{2}}}{2},\ \frac{{{y}_{1}}-{{y}_{2}}}{2} \right)\] |
| Answer» D. \[\left( \frac{{{x}_{1}}-{{x}_{2}}}{2},\ \frac{{{y}_{1}}-{{y}_{2}}}{2} \right)\] | |
| 5387. |
If the radius of the circle \[{{x}^{2}}+{{y}^{2}}\] \[-18x+12y+k=0\] be 11, then \[k=\] [MP PET 1987] |
| A. | 347 |
| B. | 4 |
| C. | \[-\,4\] |
| D. | 49 |
| Answer» D. 49 | |
| 5388. |
If the line \[x+2by+7=0\] is a diameter of the circle \[{{x}^{2}}+{{y}^{2}}-6x+2y=0\], then \[b=\] [MP PET 1991] |
| A. | 3 |
| B. | -5 |
| C. | - 1 |
| D. | 5 |
| Answer» E. | |
| 5389. |
If the lines \[3x-4y+4=0\] and \[6x-8y-7=0\] are tangents to a circle, then the radius of the circle is [IIT 1984; MP PET 1994, 2002; RPET 1995, 97; Kurukshetra CEE 1998] |
| A. | 3/2 |
| B. | 3/4 |
| C. | 1/10 |
| D. | 1/20 |
| Answer» C. 1/10 | |
| 5390. |
The locus of the centre of the circle which cuts off intercepts of length \[2a\] and \[2b\] from x-axis and y-axis respectively, is |
| A. | \[x+y=a+b\] |
| B. | \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}+{{b}^{2}}\] |
| C. | \[{{x}^{2}}-{{y}^{2}}={{a}^{2}}-{{b}^{2}}\] |
| D. | \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}-{{b}^{2}}\] |
| Answer» D. \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}-{{b}^{2}}\] | |
| 5391. |
The equation of the circle which touches x-axis and whose centre is (1, 2), is [MP PET 1984] |
| A. | \[{{x}^{2}}+{{y}^{2}}-2x+4y+1=0\] |
| B. | \[{{x}^{2}}+{{y}^{2}}-2x-4y+1=0\] |
| C. | \[{{x}^{2}}+{{y}^{2}}+2x+4y+1=0\] |
| D. | \[{{x}^{2}}+{{y}^{2}}+4x+2y+4=0\] |
| Answer» C. \[{{x}^{2}}+{{y}^{2}}+2x+4y+1=0\] | |
| 5392. |
A circle touches the y-axis at the point (0, 4) and cuts the x-axis in a chord of length 6 units. The radius of the circle is [MP PET 1992] |
| A. | 3 |
| B. | 4 |
| C. | 5 |
| D. | 6 |
| Answer» D. 6 | |
| 5393. |
The lines \[2x-3y=5\] and \[3x-4y=7\] are the diameters of a circle of area 154 square units. The equation of the circle is [IIT 1989; AIEEE 2003; Kerala (Engg.) 2005] |
| A. | \[{{x}^{2}}+{{y}^{2}}+2x-2y=62\] |
| B. | \[{{x}^{2}}+{{y}^{2}}-2x+2y=47\] |
| C. | \[{{x}^{2}}+{{y}^{2}}+2x-2y=47\] |
| D. | \[{{x}^{2}}+{{y}^{2}}-2x+2y=62\] |
| Answer» C. \[{{x}^{2}}+{{y}^{2}}+2x-2y=47\] | |
| 5394. |
A circle is drawn to cut a chord of length 2a units along X-axis and to touch the Y-axis. The locus of the centre of the circle is [Kerala (Engg.) 2005] |
| A. | \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\] |
| B. | \[{{x}^{2}}-{{y}^{2}}={{a}^{2}}\] |
| C. | \[x+y={{a}^{2}}\] |
| D. | \[{{x}^{2}}-{{y}^{2}}=4{{a}^{2}}\] |
| E. | \[{{x}^{2}}+{{y}^{2}}=4{{a}^{2}}\] |
| Answer» C. \[x+y={{a}^{2}}\] | |
| 5395. |
Four distinct points \[(2k,\,3k),(1,0)(0,1)\]and \[(0,0)\] lie on a circle for [DCE 2005] |
| A. | \[\,k\in I\] |
| B. | \[k<0\] |
| C. | \[0<k<1\] |
| D. | For two values of k |
| Answer» E. | |
| 5396. |
The radius of the circle \[{{x}^{2}}+{{y}^{2}}+4x+6y+13=0\] is [Karnataka CET 2005] |
| A. | \[\sqrt{26}\] |
| B. | \[\sqrt{13}\] |
| C. | \[\sqrt{23}\] |
| D. | 0 |
| Answer» E. | |
| 5397. |
The centre of the circle \[x=2+3\cos \theta \], \[y=3\sin \theta -1\] is [Karnataka CET 2005] |
| A. | (3, 3) |
| B. | \[(2,\,\,-1)\] |
| C. | \[(-2,\,\,1)\] |
| D. | \[(-1,\,\,2)\] |
| Answer» C. \[(-2,\,\,1)\] | |
| 5398. |
The equation of the circle whose radius is 5 and which touches the circle \[{{x}^{2}}+{{y}^{2}}-2x-4y-20=0\] externally at the point (5, 5), is [Pb. CET 2003; IIT 1979] |
| A. | \[{{x}^{2}}+{{y}^{2}}-18x-16y-120=0\] |
| B. | \[{{x}^{2}}+{{y}^{2}}-18x-16y+120=0\] |
| C. | \[{{x}^{2}}+{{y}^{2}}+18x+16y-120=0\] |
| D. | \[{{x}^{2}}+{{y}^{2}}+18x-16y+120=0\] |
| Answer» C. \[{{x}^{2}}+{{y}^{2}}+18x+16y-120=0\] | |
| 5399. |
The length of intercept, the circle \[{{x}^{2}}+{{y}^{2}}+10x-6y+9=0\] makes on the x-axis is [Pb. CET 2001] |
| A. | 2 |
| B. | 4 |
| C. | 6 |
| D. | 8 |
| Answer» E. | |
| 5400. |
The equation to the circle with centre (2, 1) and touching the line \[3x+4y=5\] is [Karnataka CET 2005] |
| A. | \[{{x}^{2}}+{{y}^{2}}-4x-2y+5=0\] |
| B. | \[{{x}^{2}}+{{y}^{2}}-4x-2y-5=0\] |
| C. | \[{{x}^{2}}+{{y}^{2}}-4x-2y+4=0\] |
| D. | \[{{x}^{2}}+{{y}^{2}}-4x-2y-4=0\] |
| Answer» D. \[{{x}^{2}}+{{y}^{2}}-4x-2y-4=0\] | |