Question:medium

If α,β are the roots of the equation x²-2x-1=0, then the value of α²β²+α-α²β² is

Show Hint

Express higher powers using α+β and αβ.

Updated On: Mar 20, 2026

\(-2\)
\(0\)
\(30\)
34

Show Solution

The Correct Option is A

Solution and Explanation

Was this answer helpful?

0

Top Questions on Quadratic Equations

If \( \alpha,\beta \) where \( \alpha<\beta \), are the roots of the equation \[ \lambda x^2-(\lambda+3)x+3=0 \] such that \[ \frac{1}{\alpha}-\frac{1}{\beta}=\frac{1}{3}, \] then the sum of all possible values of \( \lambda \) is:
- JEE Main - 2026
- Mathematics
- Quadratic Equations
View Solution
Let $\alpha, \beta$ be the roots of the quadratic equation \[ 12x^2 - 20x + 3\lambda = 0,\ \lambda \in \mathbb{Z}. \] If \[ \frac{1}{2} \le |\beta-\alpha| \le \frac{3}{2}, \] then the sum of all possible values of $\lambda$ is
- JEE Main - 2026
- Mathematics
- Quadratic Equations
View Solution
Let the mean and variance of 8 numbers -10, -7, -1, x, y, 9, 2, 16 be \( 2 \) and \( \frac{293}{4} \), respectively. Then the mean of 4 numbers x, y, x+y+1, |x-y| is:
- JEE Main - 2026
- Mathematics
- Quadratic Equations
View Solution
The sum of all the roots of the equation \((x-1)^2 - 5|x-1| + 6 = 0\), is:
- JEE Main - 2026
- Mathematics
- Quadratic Equations
View Solution
Want to practice more? Try solving extra ecology questions todayView All Questions

Questions Asked in BITSAT exam

What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?

BITSAT - 2025
Vector Algebra

In a mixture of gases, the average number of degrees of freedom per molecule is 6. If the rms speed of the molecule is \(c\), what is the velocity of sound in the gas?

BITSAT - 2025
kinetic theory

A ball is thrown vertically upward with a speed of 49 m/s. How long will it take to return to the thrower’s hand?

BITSAT - 2025
Kinematics

Two identical bodies of mass 1 kg each are moving towards each other with velocities of 5 m/s and 3 m/s, respectively. They collide elastically. What will be the velocity of the body initially moving at 5 m/s after the collision?

BITSAT - 2025
Mechanics