Tangent drawn from the point `(a ,3)` to the circle `2x^2+2y^2=25` will be perpendicular to each other if `a` equals a)5 (b) `-4` (c) 4 (d) `-5`

If tangents drawn from the point (a ,2) to the hyperbola (x^2)/(16)-(y^2)/9=1 are perpendicular, then the value of a^2 is _____

Tangents are drawn from the point P(3, 4) to the ellipse x^2/9+y^2/4=1 touching the ellipse at points A and B.

If the length tangent drawn from the point (5, 3) to the circle x^2+y^2+2x+k y+17=0 is 7, then find the value of kdot

Find the value of p if lines 3y - 2x = 4 and 4y - px = 2 are perpendicular to each other .

Find the equations of tangents to the circle x^2+y^2-22 x-4y+25=0 which are perpendicular to the line 5x+12 y+8=0

Tangent drawn from the point P(4,0) to the circle x^2+y^2=8 touches it at the point A in the first quadrant. Find the coordinates of another point B on the circle such that A B=4 .

Tangents are drawn from external point P(6,8) to the circle x^2+y^2 =r^2 find the radius r of the circle such that area of triangle formed by the tangents and chord of contact is maximum is (A) 25 (B) 15 (C) 5 (D) none of these

If the tangents are drawn from any point on the line x+y=3 to the circle x^2+y^2=9 , then the chord of contact passes through the point. a)(3, 5) (b) (3, 3) (c) (5, 3) (d) none of these

if the tangents on the ellipse 4x^(2)+y^(2)=8 at the points (1,2) and (a,b) are perpendicular to each other then a^(2) is equal to

The two lines represented by 3a x^2+5x y+(a^2-2)y^2=0 are perpendicular to each other for (a)two values of a (b) a (c)for one value of a (d) for no values of a