Home
Class 11
MATHS
The two circles which pass through (0,a)...

The two circles which pass through `(0,a)a n d(0,-a)` and touch the line `y=m x+c` will intersect each other at right angle if (A) `a^2=c^2(2m+1)` (B) `a^2=c^2(2+m^2)` (C)`c^2=a^2(2+m^2)` (D) `c^2=a^2(2m+1)`

Promotional Banner

Similar Questions

Explore conceptually related problems

Two circles passing through A(1,2), B(2,1) touch the line 4x + 8y-7 = 0 at C and D such that ACED in a parallelogram. Then: coordinates of E are

The centre of a circle passing through (0,0), (1,0) and touching the CircIe x^2+y^2=9 is a. (1/2,sqrt2) b. (1/2,3/sqrt2) c. (3/2,1/sqrt2) d. (1/2,-1/sqrt2)

Find the equation of a circle which passes through the point (2,0) and whose centre is the limit of the point of intersection of eth lines 3x+5y=1a n d(2+c)x+5c^2y=1a scvec1.

The radius of the tangent circle that can be drawn to pass through the point (0, 1) and (0, 6) and touching the x-axis is(a) 5/2 (b)Â 3/2 (c) 7/2 (d) 9/2

lf a circle C passing through (4,0) touches the circle x^2 + y^2 + 4x-6y-12 = 0 externally at a point (1, -1), then the radius of the circle C is :-

The equation of the circle which touches the axes of coordinates and the line x/3+y/4=1 and whose center lies in the first quadrant is x^2+y^2-2c x-2c y+c^2=0 , where c is (a) 1 (b) 2 (c) 3 (d) 6

The equation of the circle which touches the axes of coordinates and the line x/3+y/4=1 and whose center lies in the first quadrant is x^2+y^2-2c x-2c y+c^2=0 , where c is (a) 1 (b) 2 (c) 3 (d) 6

If the equations y=m x+c and xcosalpha+ysinalpha=p represent the same straight line, then (a) p=csqrt(1+m^2) (b) c=psqrt(1+m^2) (c) c p=sqrt(1+m^2) (d) p^2+c^2+m^2=1

Choose the odd one out (1) y^(2) = 4ax (2) c= a/m (3) c^(2) = a^(2(1+m^(2))) (4) (a/m^(2) , (2a)/m)

The two circles x^2+y^2=ax and x^2+y^2=c^2(c > 0) touch each other if (1) a=2c (2) |a|=2c (3) 2|a|=c (4) |a|=c