English Medium कक्षा १० - CBSE Question Bank Solutions for Mathematics

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.

Determine the prime factorisation of each of the following positive integer:

 20570

Determine the prime factorisation of each of the following positive integer:

58500

Determine the prime factorisation of each of the following positive integer:

45470971

Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = Product of the two numbers.

26 and 91

Find the LCM and HCF of the following integers by applying the prime factorisation method:

40, 36 and 126

Find the LCM and HCF of the following integers by applying the prime factorisation method:

 84, 90 and 120

Find the LCM and HCF of the following integers by applying the prime factorisation method:

 24, 15 and 36

Write down the decimal expansions of the following rational numbers by writing their denominators in the form 2^m × 5ⁿ, where, m, n are non-negative integers. \[\frac{3}{8}\]

Write down the decimal expansions of the following rational numbers by writing their denominators in the form 2^m × 5ⁿ, where, m, n are non-negative integers.\[\frac{13}{125}\]

Write down the decimal expansions of the following rational numbers by writing their denominators in the form 2^m × 5ⁿ, where, m, n are non-negative integers.\[\frac{129}{2^2 \times 5^7}\]

Express the number as a product of its prime factor:

156