Given that two circles x2 + y2 = r2 and x2 + y2 -10x + 16 = 0, the val – McqOptions

MCQOPTIONS

1.	Given that two circles x2 + y2 = r2 and x2 + y2 -10x + 16 = 0, the value of r such that they intersect in real and distinct points is given by
A.	2 < r < 8
B.	r = 2 or r = 8
C.	r < 2 or r < 8
D.	None of these
Answer» B. r = 2 or r = 8

Discussion

No Comment Found

Related MCQs

A chord subtends an angle 120° at the centre of a unit circle. What is the length of the chord?
If a circle of radius R passes through the origin O and intersects the coordinate axes at A and B, then the locus of the foot of perpendicular from O on AB is
Equation of the common tangent, with positive slope, to the circle x2 + y2 - 8x = 0 as well as to the hyperbola \(\rm \frac{x^2}{9}-\frac{y^2}{4}=1\), is:
If m be the slope of a tangent to the curve ey = 1 + x2, then
If a variable line, 3x + 4y – λ = 0 is such that the two circles x2 + y2 – 2x – 2y + 1 = 0 and x2 + y2 – 18x - 2y + 78 = 0 are on its opposites sides, then the set of all values of λ is the interval
Let C1 and C2 be the centres of the circles x2 + y2 – 2x – 2y – 2 = 0 and x2 + y2 – 6x – 6y + 14 = 0 respectively. If P and Q are the points of intersection of these circles, then the area (in sq units) of the quadrilateral PC1 QC2 is
Radius of the circle x2 + y2 – 4x + 2y – 31 = 0 is
If the circles x2 + y2 + 5Kx + 2y + K = 0 and 2(x2 + y2) + 2Kx + 3y – 1 = 0, (K ∈ R), intersect at the points P and Q, then the line 4x + 5y – K = 0 passes through P and Q, for:
If AB is diameter of the circle x2 + y2 + 2x + 4y - 3 = 0. If co-ordinates of A are (1, 0), then co-ordinates of B are
Equation of the circle with centre on the y-axis and passing through the origin and (2, 3) is