Let `alpha,beta` be the roots of the equation `x^2-p x+r=0a n dalpha//2,2beta` be the roots of the equation `x^2-q x+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)`

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, the value of r is (2007,3M)x^(2)-qx+r=0, the value of r is (2007,3M)(2)/(9)(p-q)(2q-p)(b)(2)/(9)(q-p(2p-q)(2)/(9)(q-2p)(2q-p)(d)(2)/(9)(2p-q)(2q-p)

If the roots of the equation qx^(2)+2px+2q=0 are roots of the equation (p+q)x^(2)+2qx+(p-q) are imaginary

The roots of the equation (q-r)x^(2)+(r-p)x+(p-q)=0

If p and q are the roots of the equation x^2 - 15x + r = 0 and. p - q = 1 , then what is the value of r?

If alpha,beta are roots of the equation (3x+2)^(2)+p(3x+2)+q=0 then roots of x^(2)+px+q=0 are

If alpha,beta be the roots of the equation x^(2)-px+q=0 then find the equation whose roots are (q)/(p-alpha) and (q)/(p-beta)

If alpha,beta are the roots of the equation x^(2)+px-r=0 and (alpha)/(3),3 beta are the roots of the equation x^(2)+qx-r=0, then r equals (i)((3)/(8))(p-3q)(3p+q)(ii)((3)/(8))(3p-q)(3p+q)(iii)((3)/(64))(q-3p)(p-3p)(iv)((3)/(64))(p-q)(q-3p)

If p and q are roots of the equation 2x^2-7x+3 then p^2+q^2=