If two distinct chords, drawn from the point (p,q) on the circle `x^(2)+y^(2)=px+qy, `where `pq!=0` are bisected by x-axis then show that `p^(2)gt8q^(2)`.

If two distinct chords, drawn from the point (p, q) on the circle x^2+y^2=p x+q y (where p q!=q) are bisected by the x-axis, then p^2=q^2 (b) p^2=8q^2 p^2 8q^2

If two distinct chords, drawn from the point (p, q) on the circle x^2+y^2=p x+q y (where p q!=q) are bisected by the x-axis, then p^2=q^2 (b) p^2=8q^2 p^2 8q^2

If two distinct chords drawn from the point (a, b) on the circle x^2+y^2-ax-by=0 (where ab!=0) are bisected by the x-axis, then the roots of the quadratic equation bx^2 - ax + 2b = 0 are necessarily. (A) imaginary (B) real and equal (C) real and unequal (D) rational

The number of chords drawn from point (a, a) on the circle x^(2)+y"^(2)=2a^(2) , which are bisected by the parabola y^(2)=4ax , is

If two distnct chords of the circle x^2+y^2 -2x -4y=0 drawn from the point P (a,b) are bisected by y-axis then a) (b+2)^2>4a b) (b-2)^2>4a c) (b-2)^2>2a d) (b+2)^2>a

From the point A(0,3) on the circle x^(2)+4x+(y-3)^(2)=0 , a chord AB is drawn and extended to a point P, such that AP=2AB. The locus of P is

The equations of the tangents drawn from the origin to the circle x^2 + y^2 - 2px - 2qy + q^2 = 0 are perpendicular if (A) p^2 = q^2 (B) p^2 = q^2 =1 (C) p = q/2 (D) q= p/2

If the tangent at the point on the circle x^2+y^2+6x +6y=2 meets the straight ine 5x -2y+6 =0 at a point Q on the y- axis then the length of PQ is

If the roots of the equation (1-q+p^(2)/2)x^(2) + p(1+q)x+q(q-1) +p^(2)/2=0 are equal, then show that p^(2) = 4q

From origin chords are drawn to the cirlce x^(2)+y^(2)-2px=0 then locus of midpoints of all such chords is