English Medium कक्षा १० - CBSE Question Bank Solutions

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

The first term of an AP of consecutive integers is p² + 1. The sum of 2p + 1 terms of this AP is ______.

The roots of the equation (b – c) x² + (c – a) x + (a – b) = 0 are equal, then:

If (x – a) is one of the factors of the polynomial ax² + bx + c, then one of the roots of ax² + bx + c = 0 is:

If (1 – p) is a root of the equation x² + px + 1 – p = 0, then roots are:

If α, β are roots of the equation x² + 5x + 5 = 0, then equation whose roots are α + 1 and β + 1 is:

(x² + 1)² – x² = 0 has:

If the difference of the roots of the equation x² – bx + c = 0 is 1, then:

If α + β = 4 and α³ + β³ = 44, then α, β are the roots of the equation:

If the roots of equation 3x² + 2x + (p + 2) (p – 1) = 0 are of opposite sign then which of the following cannot be the value of p?

The value of k for which the equation x² + 2(k + 1)x + k² = 0 has equal roots is:

If the equation x² – (2 + m)x + (–m² – 4m – 4) = 0 has coincident roots, then:

If p, q and r are rational numbers and p ≠ q ≠ r, then roots of the equation (p² – q²)x² – (q² – r²)x + (r² – p²) = 0 are: