In a class of 45 students, 22 can speak in Hindi only and 12 can speak in English only. How many students can speak both Hindi and English?

The solution of | x - 3 | = 8 is equal to

If α and β are the roots of x² - 6x + 6 = 0, then α² + β² = ?

If 2x + y = 5, 3x - 4y = 2, then the value of 2xy is

How many words can be formed by using all the letters of the word 'TIGER'?

Evaluate log₃ 243.

Find the sum of the series 3, 6, 9, 12, ... upto 10 terms.

Find the value of a, b, c and d form the following equation:

Evaluate the determinant.

In a right triangle ABC, right-angled at B, if tan A = 1, then find the value of 2 sin A cos A.

sec A (1 - sin A)(sec A + tan A) = ?

Find the value of x for which the points (x, -1), (2, 1) and (4, 5) are collinear.

The planes: 2x - y + 4z = 5 and 5x - 2.5y + 10z = 6 are

A bag contains 5 red balls and 4 green balls. 2 balls are drawn at random. What is the probability that both balls are same in color?

Evaluate:

Evaluate:

What is the order of the differential equation given below?

The total revenue in Rupees received from the sale of x units of a product is given by

R(x) = 13x² + 26x + 15

Find the marginal revenue when x = 7.

What will be the result of the following integration?

∫ sec x(sec x + tanx)dx