List of top Mathematics Questions on Quadratic Equations asked in Bihar Board X

A two digit number is four times of the sum of its digits and twice the product of its digits. Find the number.
Using quadratic formula find the roots of the equation \(2x^2 - 2\sqrt{2}x + 1 = 0\).
Find two consecutive positive integers, sum of whose squares is 365.
The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Write the equation for this statement.
Find the discriminant of the quadratic equation \(2x^2 + 5x - 3 = 0\) and find the nature of the roots also.
The discriminant of the quadratic equation \(2x^2 - 7x + 6 = 0\) is
Which of the following is a quadratic equation?
Which of the following is not a quadratic equation?
For what value of k, roots of the quadratic equation \(kx^2 - 6x + 1 = 0\) are real and equal?
If one root of the quadratic equation \(2x^2 - x - 6 = 0\) is \(-\frac{3}{2}\) then its another root is
What is the nature of the roots of the quadratic equation \(2x^2 - 6x + 3 = 0\) ?
If \(\alpha\) and \(\beta\) are roots of the quadratic equation \(3x^2 - 5x + 2 = 0\) then the value of \(\alpha^2 + \beta^2\) is
If one root of the quadratic equation \(2x^2 - 7x - p = 0\) is 2 then the value of p is
If \( \alpha \) and \( \beta \) are the roots of the quadratic equation \( x^2 - 8x + 5 = 0 \), then the value of \( \alpha^2 + \beta^2 \) is:
If \( p(x) = x^4 - 5x + 6 \) and \( q(x) = 2 - x^2 \), then the degree of \( \frac{p(x)}{q(x)} \) is:
For what value of \( k \), the roots of the quadratic equation \( x^2 + 6x + k = 0 \) are real and equal?
What is the nature of the roots of the quadratic equation \( \frac{4}{3}x^2 - 2x + \frac{3}{4} = 0 \)?
If one root of the quadratic equation \( y^2 + 3y - 18 = 0 \) is -6, then its other root is:
If \( \alpha \) and \( \beta \) are the roots of the quadratic equation \( x^2 - 8x + 5 = 0 \), then the value of \( \alpha^2 + \beta^2 \) is:
The roots of the quadratic equation \( ax^2 - bx - c = 0 \) are:
If \( x = 2 \) is a common root of both the equations \( 2x^2 + 2x + p = 0 \) and \( qx^2 + qx + 18 = 0 \), then the value of \( (q - p) \) is:
Which of the following is a quadratic equation?
If the product of the roots of the quadratic equation \( x^2 - 5x + p = 10 \), then the value of \( p \) is:
If \( \alpha \) and \( \beta \) are the roots of the quadratic equation \( x^2 + 6x + 5 = 0 \), then the value of \( \alpha^2 + \beta^2 \) is:
The roots of the quadratic equation \( px^2 - qx + r = 0 \), where \( p \neq 0 \), are: