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^=0`

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

The circle x^2 + y^2 - 8x + 4y + 4 = 0 toches

Find the equation of the asymptotes of the hyperbola 3x^2+10 x y+8y^2+14 x+22 y+7=0

Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.

If the pairs of lines x^2+2x y+a y^2=0 and a x^2+2x y+y^2=0 have exactly one line in common, then the joint equation of the other two lines is given by (a) 3x^2+8x y-3y^2=0 (b) 3x^2+10 x y+3y^2=0 (c) y^2+2x y-3x^2=0 (d) x^2+2x y-3y^2=0

The circle x^2+y^2-8x=0 and hyperbola x^2/9-y^2/4=1 intersect at the points A and B Equation of the circle with AB as its diameter is

Find the equation of tangent to the circle x^(2) + y^(2) + 2x -3y -8 = 0 at (2,3)

If x=9 is the chord of contact of the hyperbola x^2-y^2=9 then the equation of the corresponding pair of tangents is (A) 9x^2-8y^2+18x-9=0 (B) 9x^2-8y^2-18x+9=0 (C) 9x^2-8y^2-18x-9=0 (D) 9x^2-8y^2+18x+9=0

The circle x^2 + y^2 - 3x - 4y + 2 = 0 cuts the x axis at the points

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