Home
Class 14
MATHS
The chord of the contact of tangents dra...

The chord of the contact of tangents drawn from a point on the circle `x^(2) + y^(2) = a^(2) ` to the circle ` x^(2) = y^(2) = b^(2)` touches the circle ` x^(2) + y^(2) =c^(2)` such that `b^(m)= a^(n)c^(p)`, where m,n p `in N` and m,n,p are prime to each other , then the value of `m+ n+ p -3` is :

A

5

B

4

C

2

D

6

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

chord of contact of the tangents drawn from a point on the circle x^(2)+y^(2)=81 to the circle x^(2)+y^(2)=b^(2) touches the circle x^(2)+y^(2)=16 , then the value of b is

If the chord of contact of the tangents drawn from a point on the circle x^(2)+y^(2)+y^(2)=a^(2) to the circle x^(2)+y^(2)=b^(2) touches the circle x^(2)+y^(2)=c^(2), then prove that a,b and c are in GP.

If the chord of contact of tangents from a point P(h, k) to the circle x^(2)+y^(2)=a^(2) touches the circle x^(2)+(y-a)^(2)=a^(2) , then locus of P is

If the chord of contact of tangents from a point (x_(1),y_(1)) to the circle x^(2)+y^(2)=a^(2) touches the circle (x-a)^(2)+y^(2)=a^(2), then the locus of (x_(1),y_(1)) is

The chord of contact of tangents from three points P, Q, R to the circle x^(2) + y^(2) = c^(2) are concurrent, then P, Q, R

If chord of contact of the tangent drawn from the point (a,b) to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 touches the circle x^(2)+y^(2)=k^(2), then find the locus of the point (a,b).

If the chords of contact of tangents drawn from P to the hyperbola x^(2)-y^(2)=a^(2) and its auxiliary circle are at right angle, then P lies on

If the tangent from a point p to the circle x^(2)+y^(2)=1 is perpendicular to the tangent from p to the circle x^(2)+y^(2)=3, then the locus of p is