JEE Advanced2007MathematicsQuadratic EquationActual
Let , be the roots of the equation x^2-p x+r=0 and 2 , 2 be the roots of the equation x^2-q x+r=0 . Then, the value of r is
Options
- A2 9 (p-q)(2 q-p)
- B2 9 (q-p)(2 p-q)
- C2 9 (q-2 p)(2 q-p)
- D2 9 (2 p-q)(2 q-p)
Correct answer
D. 2 9 (2 p-q)(2 q-p)
Step-by-step solution
The equation x^2-p x+r=0 has roots ( , ) and the equation x^2-q x+r=0 has roots array ll ( 2 , 2 ) . & & r= and + =p and 2 +2 =q & = 2 q-p 3 and = 2(2 p-q) 3 & =r= 2 9 (2 q-p)(2 p-q) array