The point of which the line `9x + y - 28 = 0` is the chord of contact of the circle `2x^2+2y^2-3x+5y-7=0` is

The point of which the line `9x + y - 28 = 0` is the chord of contact

1.	The point of which the line `9x + y - 28 = 0` is the chord of contact of the circle `2x^2+2y^2-3x+5y-7=0` is
Answer» Correct Answer - `(3,-1)` Let point P be (h,k). Equation of chord of contact of the given circle w.r.t. point P is `4hx+4ky-3(x+h)+5(y+k)-14=0` or `(4h-3)x+(4k+5)y-3h+5k-14=0` (1) But the given equation of chord of contact is `9x+y-28=0` (2) `:. ` Comparing the ratio of coefficients of equation (1) and (2) we get `(4h-3)/(9) =(4k+5)/(1)=(3h-5k+14)/(28)` Solving we get `h=3` and `k= -1`.

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The point of which the line `9x + y - 28 = 0` is the chord of contact of the circle `2x^2+2y^2-3x+5y-7=0` is

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