English Medium Class 10 - CBSE Question Bank Solutions for Mathematics

Find the value of k such that the polynomial x2 − (k + 6)x + 2(2k −1) has sum of its zeros equal to half of their product.

If the sum of first n terms of an AP is n², then find its 10th term.

Find the distance between the points (a, b) and (−a, −b).

How many multiples of 4 lie between 10 and 205?

In what ratio does the point P(−4, y) divides the line segment joining the points A(−6, 10) and B(3, −8)? Hence find the value of y.

If one zero of the quadratic polynomial x² + 3x + k is 2, then the value of k is ______.

If one of the zeroes of the quadratic polynomial (k – 1) x² + kx + 1 is - 3, then the value of k is ______.

A quadratic polynomial, whose zeroes are -3 and 4, is ______.

If the zeroes of the quadratic polynomial x² + (a + 1) x + b are 2 and –3, then ______.

The number of polynomials having zeroes as -2 and 5 is ______.

Given that one of the zeroes of the cubic polynomial ax³ + bx² + cx + d is zero, the product of the other two zeroes is ______.

If one of the zeroes of the cubic polynomial x³ + ax² + bx + c is -1, then the product of the
other two zeroes is ______.

The zeroes of the quadratic polynomial x2 + 99x + 127 are ______.

10. The zeroes of the quadratic polynomial x² + kx + k, k? 0.

If the zeroes of the quadratic polynomial ax² + bx + c, c # 0 are equal, then ______.

If one of the zeroes of a quadratic polynomial of the form x² + ax + b is the negative of the other, then it ______.

A quadratic polynomial, whose zeores are -4 and -5, is ______.

The zeroes of the quadratic polynomial x² + 1750x + 175000 are ______.

If x³ + 1 is divided by x² + 5, then the possible degree of quotient is ______.

If x³ + 11 is divided by x² – 3, then the possible degree of remainder is ______.