English Medium कक्षा १० - CBSE Question Bank Solutions for Mathematics

The quadratic equation whose roots are 1:

The quadratic equation whose one rational root is `3 + sqrt2` is

The equation 2x² + kx + 3 = 0 has two equal roots, then the value of k is:

The roots of the quadratic equation `"x" + 1/"x" = 3`, x ≠ 0 are:

The sum of all odd integers between 2 and 100 divisible by 3 is ______.

The roots of the quadratic equation `2"x"^2 - 2sqrt2"x" + 1 = 0` are:

The sum of the roots of the quadratic equation 3x² – 9x + 5 = 0 is:

If the roots of ax² + bx + c = 0 are in the ratio m : n, then:

If one root of the equation x²+ px + 12 = 0 is 4, while the equation x² + px + q = 0 has equal roots, the value of q is:

α and β are the roots of 4x² + 3x + 7 = 0, then the value of `1/α + 1/β` is:

Mohan and Sohan solve an equation. In solving Mohan commits a mistake in constant term and finds the roots 8 and 2. Sohan commits a mistake in the coefficient of x. The correct roots are:

If α and β are the roots of the equation 2x² – 3x – 6 = 0. The equation whose roots are `1/α` and `1/β` is:

If the roots of px² + qx + 2 = 0 are reciprocal of each other, then:

If one root of the quadratic equation 2x² + kx – 6 = 0 is 2, the value of k is:

The roots of the quadratic equation `1/("a" + "b" + "x") = 1/"a" + 1/"b" + 1/"x"`, a + b ≠ 0 is:

The roots of the equation 7x² + x – 1 = 0 are:

The equation 12x² + 4kx + 3 = 0 has real and equal roots, if:

If the n^th term of an AP is (2n +1), then the sum of its first three terms is ______.

If –5 is a root of the quadratic equation 2x² + px – 15 = 0, then:

If the roots of the equations ax² + 2bx + c = 0 and `"bx"^2 - 2sqrt"ac" "x" + "b" = 0` are simultaneously real, then