Relation between Roots and Coefficients for Quadratic
Trending Questions
Q. If α, β are the roots of 2x2+6x+b=0 and αβ+βα<2 then b lies in the interval
- ( 0, ∞)
- (- ∞, 0)
- ( -∞ , 0]
- ( -1, ∞)
Q. If α, andβ are the roots of x2+px+q=0 , the quadratic equation having roots α3, β3 is given by
Q. Let p(x) = 0 be a polynomial equation of least possible degree, with rational coefficients, having 3√7+3√49 as one of its roots. Then the product of all the roots of p(x) = 0 is
- 7
- 49
- 56
- 63
Q. If the roots of the quadratic equation x2+px+q=0 are tan 30∘ and tan 15∘, respectively, then the value of 2+q−p is :
- 2
- 0
- 1
- 3
Q.
If α and β are the roots of the equation x2+6x+λ=0 and 3α+2β=−20, then λ =
-16
-8
16
8
Q.
If the sum of the roots of the equation λx2+2x+3λ=0 be equal to their product, then λ =
-4
6
4