JEE MATHEMATICS MCQ: THEORY OF EQUATION

1 Easy

1 of 1

Application +4 | -1

Let

\alpha, \beta

be the roots of the quadratic equation

x^2+p x+p^3=0(p \neq 0)

. If

(\alpha, \beta)

is a point on the parabola

y^2=x

, then the roots of the quadratic equation are

View answer and explanation

Correct option: A

4,-2

Option A (4, -2) is correct because it satisfies both the quadratic equation and the parabola equation.

More Questions from THEORY OF EQUATION

Practice All Chapter MCQs →

{x^{2n}} - 1 = 0

\frac{1}{x}+\frac{1}{\sqrt{\left(1-x^2\right)}}=\frac{35}{12}

x^7+14 x^5+16 x^3+30 x-560=0

x_1, x_2, x_3, \ldots, x_n

x^n+a x+b=0

\left(x_1-x_2\right)\left(x_1-x_3\right)\left(x_1-x_4\right) \ldots\left(x_1-x_n\right)

P(x)=k x^3+3 x^2-3

Q(x)=2 x^3-5 x+k

(x-4)

k

{\left( {x - 1} \right)^3}

{x^4} + a{x^3} + b{x^2} + cx - 1,