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 (a)`p^2=q^2` (b) `p^2=8q^2` (c)`p^2<8q^2` (d) `p^2>8q^2`

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

If p,q are the roots of ax^(2)-25x+c=0 , then p^(3)q^(3)+p^(2)q^(3)+p^(3)q^(2)=

If p and q are the roots of the equation x^(2)+px+q=0 , then

If sec alpha and alpha are the roots of x^2-p x+q=0, then (a) p^2=q(q-2) (b) p^2=q(q+2) (c) p^2q^2=2q (d) none of these

If 2 + isqrt3 is a root of x^(3) - 6x^(2) + px + q = 0 (where p and q are real) then p + q is

If one root is square of the other root of the equation x^2+p x+q=0 then the relation between p and q is

If the chord of contact of tangents from a point P to a given circle passes through Q , then the circle on P Q as diameter.

The coefficients of x^(p) and x^(q) in the expansion of (1 + x)^(p + q) are

The base B C of a A B C is bisected at the point (p ,q) & the equation to the side A B&A C are p x+q y=1 & q x+p y=1 . The equation of the median through A is: (a) (p-2q)x+(q-2p)y+1=0 (b) (p+q)(x+y)-2=0 (c) (2p q-1)(p x+q y-1)=(p^2+q^2-1)(q x+p y-1) (d)none of these