Tangents `P A` and `P B` are drawn to `x^2+y^2=9` from any arbitrary point `P` on the line `x+y=25` . The locus of the midpoint of chord `A B` is `25(x^2+y^2)=9(x+y)` `25(x^2+y^2)=3(x+y)` `5(x^2+y^2)=3(x+y)` `non eoft h e s e`

Tangents PA and PB are drawn to the circle x^2 +y^2=8 from any arbitrary point P on the line x+y =4 . The locus of mid-point of chord of contact AB is

Tangents PA and PB are drawn to parabola y^(2)=4x from any arbitrary point P on the line x+y=1 . Then vertex of locus of midpoint of chord AB is

Tangents are drawn from any point on the hyperbola (x^2)/9-(y^2)/4=1 to the circle x^2+y^2=9 . Find the locus of the midpoint of the chord of contact.

Tangents are drawn to x^(2)+y^(2)=1 from any arbitrary point P on the line 2x+y-4=0 .Prove that corresponding chords of contact pass through a fixed point and find that point.

Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4x-6y=0 parallel to y = 2x.

From an arbitrary point P on the circle x^2+y^2=9 , tangents are drawn to the circle x^2+y^2=1 , which meet x^2+y^2=9 at A and B . The locus of the point of intersection of tangents at A and B to the circle x^2+y^2=9 is (a) x^2+y^2=((27)/7)^2 (b) x^2-y^2((27)/7)^2 y^2-x^2=((27)/7)^2 (d) none of these

From the points (3, 4), chords are drawn to the circle x^2+y^2-4x=0 . The locus of the midpoints of the chords is (a) x^2+y^2-5x-4y+6=0 (b) x^2+y^2+5x-4y+6=0 (c) x^2+y^2-5x+4y+6=0 (d) x^2+y^2-5x-4y-6=0

The locus of the middle points of chords of the circle x^(2)+y^(2)=25 which are parallel to the line x-2y+3=0 , is

Describe the locus of the point (x, y) satisfying the equation (x-2)^2 + (y-3)^2 =25

P lies on the line y=x and Q lies on y= 2x . The equation for the locus of the mid point of PQ, if |PQ| = 4 , is 25x^2 - lambda xy + 13y^2 = 4 , then lambda equals