English Medium कक्षा १० - CBSE Question Bank Solutions

If the point A(x,2) is equidistant form the points B(8,-2) and C(2,-2) , find the value of x. Also, find the value of x . Also, find the length of AB.

Using the distance formula, show that the given points are collinear:  

 (1, -1), (5, 2) and (9, 5)

Using the distance formula, show that the given points are collinear:

(6, 9), (0, 1) and (-6, -7)

Using the distance formula, show that the given points are collinear:

(-2, 5), (0,1) and (2, -3)

`" Find the distance between the points"   A ((-8)/5,2) and B (2/5,2)`

If P (x , y )  is equidistant from the points  A (7,1)  and B (3,5) find the relation between x and y

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.

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. \[\frac{3}{8}\]