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

Let alpha,beta be the roots of the equation x^(2)-px+r=0 and alpha//2,2beta be the roots of the equation x^(2)-qx+r=0 , then the value of r is (1) (2)/(9)(p-q)(2q-p) (2) (2)/(9)(q-p)(2p-q) (3) (2)/(9)(q-2p)(2q-p) (4) (2)/(9)(2p-q)(2q-p)

Let alpha,beta be the roots of the equation x^(2)-px+r=0 and alpha//2,2beta be the roots of the equation x^(2)-qx+r=0 , then the value of r is (1) (2)/(9)(p-q)(2q-p) (2) (2)/(9)(q-p)(2p-q) (3) (2)/(9)(q-2p)(2q-p) (4) (2)/(9)(2p-q)(2q-p)

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. 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 p and q are the roots of the equation x^2-p x+q=0 , then

IF alpha and beta be the roots of the equation x^2+px+q=0 show that alpha/beta is a root of the equation qx^2-(p^2-2q)x+q=0 .

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

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