English Medium इयत्ता १० - CBSE Question Bank Solutions for Mathematics

Zeroes of a polynomial can be determined graphically. No. of zeroes of a polynomial is equal to no. of points where the graph of polynomial ______.

If p(x) = axr + bx + c, then –`"b"/"a"` is equal to ______.

If 2 and `1/2` are the zeros of px² + 5x + r, then ______.

Case Study -1

The figure given alongside shows the path of a diver, when she takes a jump from the diving board. Clearly it is a parabola.

Annie was standing on a diving board, 48 feet above the water level. She took a dive into the pool. Her height (in feet) above the water level at any time ‘t’ in seconds is given by the polynomial h(t) such that h(t) = -16t² + 8t + k.

The zeroes of the polynomial r(t) = -12t² + (k - 3)t + 48 are negative of each other. Then k is ______.

The sum of the first 15 multiples of 8 is ______.

First four terms of the sequence a_n = 2n + 3 are ______.

If the sum of first n terms of an AP is An + Bn² where A and B are constants. The common difference of AP will be ______.

The sum of the first 2n terms of the AP: 2, 5, 8, …. is equal to sum of the first n terms of the AP: 57, 59, 61, … then n is equal to ______.

If the sum of the first m terms of an AP is n and the sum of its n terms is m, then the sum of its (m + n) terms will be ______.

The sum of first ten natural number is ______.

The sum of first n terms of the series a, 3a, 5a, …….. is ______.

The famous mathematician associated with finding the sum of the first 100 natural numbers is ______.

The sum of first 16 terms of the AP: 10, 6, 2,... is ______.

The middle most term(s) of the AP: -11, -7, -3,.... 49 is ______.

In an AP if a = 1, a_n = 20 and S_n = 399, then n is ______.

If the numbers n - 2, 4n - 1 and 5n + 2 are in AP, then the value of n is ______.

If the sum of three numbers in an A.P. is 9 and their product is 24, then numbers are ______.

Find the sum of 12 terms of an A.P. whose nth term is given by a_n = 3n + 4.

The sum of all two digit odd numbers is ______.

The roots of the quadratic equation 6x² – x – 2 = 0 are: