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

If \( f(x) = x^4 - 2x^3 - x + 2 \) is divided by \( g(x) = x^2 - 3x + 2 \), then the degree of the quotient is:
If \( \alpha \) and \( \beta \) are the zeroes of the polynomial \( x^2 - 3(x+1) - 5 \), then the value of \( (\alpha +1)(\beta +1) \) is:
The degree of the polynomial \( (x^5 + x^2 + 3x)(x^6 + x^5 + x^2 + 1) \) is:
The zeroes of the polynomial \( x^2 - 11 \) are:
If -2 and -3 are the zeroes of the quadratic polynomial \( x^2 + (a+1)x + b \), then:
If the product of the zeroes of the polynomial \( x^2 - 9x + a \) is 8, then the value of \( a \) is:
For what value of \( p \) will the equation \( px^2 - 2x + 3 = 0 \) have real and equal roots?
What is the nature of roots of the quadratic equation \( 6x^2 - 3x + 5 = 0 \)?
If one root of the quadratic equation \( x^2 + x - 20 = 0 \) is \( 4 \), then the other root 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 \( px^2 - qx + r = 0, \, p \neq 0 \) are:
If \( x = -1 \) is a common root of both the equations \( 2x^2 + 3x + p = 0 \) and \( qx^2 - qx + 4 = 0 \), then the value of \( p + q \) is:
If one root of the quadratic equation \( x^2 + 2kx + 4 = 0 \) is \( 2 \), then the value of \( k \) is:
If \( (x + 3) \) is a factor of \( ax^2 + x + 1 \), then the value of \( a \) is:
Which of the following is a quadratic equation?
If \(\alpha\) and \(\beta\) are zeroes of the polynomial \(p(x) = x^2 - 3x + 5\), then the value of \(4(\alpha + \beta)\) is
If the product of zeroes of a polynomial \(x^{2}-9x+2a\) is \(8\), then the value of \(a\) will be
Which of the following quadratic polynomials has sum of zeroes \(-3\) and product of zeroes \(2\)?
The discriminant of the quadratic equation \(x^{2}+4x+b=0\) is
If one root of the quadratic equation \(2x^2 + px - 3 = 0\) is \(-3\), then the value of \(p\) will be:
For what values of \(k\) are the roots of the quadratic equation \(9x^2 + 3kx + 4 = 0\) real and equal?
If \( \alpha, \beta \) are the roots of the equation \( x^2 + 3px + 2p^2 = 0 \) and \( \alpha^2 + \beta^2 = 5 \), then the value of \(p\) is:
The roots of the quadratic equation \(a^{2}p^{2}x^{2}-q^{2}=0\) are:
The ratio of the sum of the roots and the product of the roots of the quadratic equation \(x^2 - 15x + 50 = 0\) is:
If \(-5\) and \(-1\) are the roots of a quadratic equation, then the equation will be: