- pand q are non-zero real numbers and a'+B=-p.aß =q. then a quadratic equation whose roots is (A) +px+c = (B) px+qx+p=0 (C)qx? - px +-0 (D) px -qx+p-0

If p,q,r in R and the quadratic equation px^(2)+qx+r=0 has no real root,then

If p,q,r in R and the quadratic equation px^2+qx+r=0 has no real roots, then (A) p(p+q+r)gt0 (B) (p+q+r)gt0 (C) q(p+q+r)gt0 (D) p+q+rgt0

If p, q, r each are positive rational number such tlaht p gt q gt r and the quadratic equation (p + q - 2r)x^(2) + (q + r- 2p)x + (r + p - 2q) = 0 has a root in (-1 , 0) then which of the following statement hold good? (A) (r + p)/(q) lt 2 (B) Both roots of given quadratic are rational (C) The equation px^(2) + 2qx + r = 0 has real and distinct roots (D) The equation px^(2) + 2qx + r = 0 has no real roots

If p, q, r each are positive rational number such tlaht p gt q gt r and the quadratic equation (p + q - 2r)x^(2) + (q + r- 2p)x + (r + p - 2q) = 0 has a root in (-1 , 0) then which of the following statement hold good? (A) (r + p)/(q) lt 2 (B) Both roots of given quadratic are rational (C) The equation px^(2) + 2qx + r = 0 has real and distinct roots (D) The equation px^(2) + 2qx + r = 0 has no real roots

If sin theta and theta are the roots of px^(2) + qx + r = 0 then q^(2) - p^(2) =

Solve the following pair of linear equations : px + qy= p-q qx- py= p+q

If p,q,r are + ve and are in A.P., the roots of quadratic equation px^2 + qx + r = 0 are all real for

If p, q, r are positive and are in AP, the roots of quadratic equation px^(2) + qx + r = 0 are real for :