The equation of a circle which touches both axes and the line \[3x-4y+ – McqOptions

MCQOPTIONS

1.	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. \[{{x}^{2}}+{{y}^{2}}-4x-4y-4=0\]

Discussion

No Comment Found

Related MCQs

The circle passing through point of intersection of the circle \[S=0\] and the line \[P=0\] is [RPET 1995]
The locus of the centre of a circle which touches externally the circle \[{{x}^{2}}+{{y}^{2}}-6x-6y+14=0\] and also touches the y-axis, is given by the equation [IIT 1993; DCE 2000]
A line meets the coordinate axes in A and B. A circle is circumscribed about the triangle OAB. If m and n are the distance of the tangents to the circle at the points A and B respectively from the origin, the diameter of the circle is
A circle which passes through origin and cuts intercepts on axes a and b, the equation of circle is [RPET 1991]
The equation of a diameter of circle \[{{x}^{2}}+{{y}^{2}}-6x+2y=0\] passing through origin is [RPET 1991; IIT 1989; MP PET 2002]
The centre and radius of the circle \[2{{x}^{2}}+2{{y}^{2}}-x=0\] are [MP PET 1984, 87]
The equation of the circle passing through the point (2, 1) and touching y-axis at the origin is
The equation of the circle concentric with the circle \[{{x}^{2}}+{{y}^{2}}+8x+10y-7=0\] and passing through the centre of the circle \[{{x}^{2}}+{{y}^{2}}-4x-6y=0\] is
If a circle whose centre is (1, ?3) touches the line \[3x-4y-5=0\], then the radius of the circle is
Equation of the circle which touches the lines \[x=0,\ y=0\] and \[3x+4y=4\] is [MP PET 1991]