If the ratio of the roots of `a x ^2+2b x+c=0` is same as the ratios of roots of `p x^2+2q x+r=0,` then a.`(2b)/(a c)=(q^2)/(p r)` b. `b/(a c)=(q)/(p r)` c. `(b^2)/(a c)=(q^2)/(p r)` d. none of these

If the ratio of the roots of x^(2)-bx-c=0 is equal to the ratio of the roots of x^(2)-px-q=0 ,then p^(2)c-b^2q=

If alpha,beta are the roots of ax^(2)+bx+c=0and alpha+h,beta+h are the roots of px^(2)+qx+r=0 thenh =-(1)/(2)((a)/(b)-(p)/(q)) b.((b)/(a)-(q)/(p))c(1)/(2)((b)/(q)-(q)/(p)) d.none of these

If the ratio of the roots of the equation x^(2)+px+q=0 are equal to ratio of the roots of the equation x^(2)+bx+c=0, then prove that p^(2c)=b^(2)q

If a,b are the roots of x^(2)+px+1=0 and c d are the roots of x^(2)+qx+1=0, Then ((a-c)(b-c)(a+d)(b+d))/(q^(2)-p^(2))

If (x_1, y_1)&(x_2, y_2) are the ends of diameter of a circle such that x_1&x_2 are the roots of the equation a x^2+b x+c=0 and y_1&y_2 are the roots of the equation p y^2+q y+c=0 . Then the coordinates f the centre of the circle is: (b/(2a), q/(2p)) (b) (-b/(2a),=q/(2p)) (b/a , q/p) (d) None of these

Let alpha,beta be the roots of the equation x^(2)-px+r=0 and alpha/2,2 beta be the roots of the equation x^(2)-qx+r=0. Then the value of r is (2)/(9)(p-q)(2q-p) b.(2)/(9)(q-p)(2q-p) c.(2)/(9)(q-2p)(2q-p) d.(2)/(9)(2p-q)(2q-p)

If a,b are roots of x^2+px+q=0 and c,d are the roots x^2-px+r=0 then a^2+b^2+c^2+d^2 equals (A) p^2-q-r (B) p^2+q+r (C) p^2+q^2-r^2 (D) 2(p^2-q+r)

If the equation x^2-3p x+2q=0a n dx^2-3a x+2b=0 have a common roots and the other roots of the second equation is the reciprocal of the other roots of the first, then (2-2b)^2 . a.36p a(q-b)^2 b. 18p a(q-b)^2 c. 36b q(p-a)^2 d. 18b q(p-a)^2