InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
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)`A. `2/9(p-q)(2q-p)`B. `2/9(q-p)(2p-q)`C. `2/9(q-2p)(2q-p)`D. `2/9(2p-q)(2q-p)` |
|
Answer» Correct Answer - D The equation `x^(2)-px+r=0` has roots `(alpha, beta)` and the equation `x^(2)-qx+r` has roots `((alpha)/2, 2beta)` `impliesr=alpha beta` and `alpha+beta=p` and `(alpha)/2+2beta=q` `implies(beta=(2q-p)/3` and `alpha-(2(2p-q))/3` `impliesalpha beta=r=2/9(2q-p)(2p-q)` |
|