English Medium इयत्ता १० - CBSE Question Bank Solutions

For what values of k are the points (8, 1), (3, –2k) and (k, –5) collinear ?

The long and short hands of a clock are 6 cm and 4 cm long respectively. Find the sum of the distances travelled by their tips in 24 hours. (Use π = 3.14) ?

If A and B are the points (−6, 7) and (−1, −5) respectively, then the distance

2AB is equal to

Find the value of y for which the distance between the points A (3, −1) and B (11, y) is 10 units.

The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is ______.

If the point P(2, 1) lies on the line segment joining points A(4, 2) and B(8, 4), then ______.

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

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 ______.