A variable chord of the circle `x^2+y^2=4` is drawn from the point `P(3,5)` meeting the circle at the point `A` and `Bdot` A point `Q` is taken on the chord such that `2P Q=P A+P B` . The locus of `Q` is
(a) `x^2+y^2+3x+4y=0` (b) `x^2+y^2=36` (c) `x^2+y^2=16` (d) `x^2+y^2-3x-5y=0`

From the point A (0, 3) on the circle x^2+4x+(y-3)^2=0 a chord AB is drawn & extended to a M point such that AM=2AB. The equation of the locus of M is: (A) x^2 +8x+y^2 =0 (B) x^2+8x+(y-3)^2=0 (C) (x-3)^2+8x+y^2=0 (D) x^2+8x+8y^2=0

The equation of the circle passing through the point of intersection of the circles x^2+y^2-4x-2y=8 and x^2+y^2-2x-4y=8 and the point (-1,4) is (a) x^2+y^2+4x+4y-8=0 (b) x^2+y^2-3x+4y+8=0 (c) x^2+y^2+x+y=0 (d) x^2+y^2-3x-3y-8=0

If the tangents are drawn to the circle x^2+y^2=12 at the point where it meets the circle x^2+y^2-5x+3y-2=0, then find the point of intersection of these tangents.

Tangents are drawn to the circle x^2+y^2=9 at the points where it is met by the circle x^2+y^2+3x+4y+2=0 . Find the point of intersection of these tangents.

Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

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

A tangent at a point on the circle x^2+y^2=a^2 intersects a concentric circle C at two points Pa n dQ . The tangents to the circle X at Pa n dQ meet at a point on the circle x^2+y^2=b^2dot Then the equation of the circle is (a) x^2+y^2=a b (b) x^2+y^2=(a-b)^2 (c) x^2+y^2=(a+b)^2 (d) x^2+y^2=a^2+b^2

The greatest distance of the point P (10,7) from the circle x^2+y^2-4x-2y-20=0 is

Find the middle point of the chord of the circle x^2+y^2=25 intercepted on the line x-2y=2

A variable chord is drawn through the origin to the circle x^2+y^2-2a x=0 . Find the locus of the center of the circle drawn on this chord as diameter.