Most Important Selected Qs for JEE AdvancedMathematicsQuadratic Equation
If x^2-3 x+2 be a factor of the expression x^4-p x^2+q , then
Options
- Aroots of equation x^4-p x^2+q=0 are 1, 2
- Broots of equation x^4-p x^2+q=0 are 1,2, a+i b, a-i b(a, b R b 0)
- Cvalue of p is 5
- Dvalue of q is 4
Correct answer
D. value of q is 4
Step-by-step solution
Since x^2-3 x+2 is factors of x^4-p x^2+q , then roots of x^2-3 x+2=0 i.e. 2,1 are also roots of x^4-p x^2+q=0 but if a is roots of x^4- px ^2+q=0 , then -a is also roots of x ⁻- px + q =0 are 1, 2 and 1-p+q=0 and 16-4 p+q=0, p=5 and q=4