Home
Class 12
MATHS
If the chord of contact of a point A wit...

If the chord of contact of a point A with respect to the circle `x^(2)+y^(2)=a^(2)` cut the circle at P and Q such that `|___(POQ)=90^(@)` then show that locus of A is `x^(2)+y^(2)=2a^(2)`.

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

The chord of contact of (2,1) with respect to the circle x^(2)+y^(2)=2 is

The chord of contact of (1,2) with respect to the circle x^(2)+y^(2)-4x-6y+2=0 is

The length of chord of contact of the point (3,6) with respect to the circle x^(2)+y^(2)=10 is

Length of chord of contact of point (4,4) with respect to the circle x^2+y^2-2x-2y-7=0 is

Find the chord of contact of (0,5) with respect to the circle x^(2) + y^(2) - 5 x +4y - 2 =0

Find the chord of contact of (2, 5) with repect ot the circle x^(2) + y^(2) - 5x + 4y-2=0 .

The length of the chord of contact of (-2,3) with respect to the circle x^(2)+y^(2)-2x+4y+1=0 is

If the polar of a point (p,q) with respect to the circle x^2 +y^2=a^2 touches the circle (x-c)^2 + (y-d)^2 =b^2 , then

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