# Category Archives: NCERT

Differentiate the functions given in question 1 to 10 with respect to x. Question 1. cos x.cos2x.cos3x Solution: Let us considered y = cos x.cos2x.cos3x… Read More
Chapter 5 Continuity And Differentiability – Exercise 5.5 | Set 1 Question 11. Differentiate the function with respect to x. (x cos x)x + (x… Read More
If x and y are connected parametrically by the equations given in Exercises 1 to 10, without eliminating the parameter, Find  Question 1. x =… Read More
Chapter 6 Application of Derivatives – Miscellaneous Exercise on Chapter 6 | Set 1 Question 12. A point on the hypotenuse of a triangle is… Read More
Find the second order derivatives of the functions given in Exercises 1 to 10. Question 1. x2+ 3x + 2  Solution: Here, y = x2+… Read More
Question 1. Using differentials, find the approximate value of each of the following: (i) (17/81)1/4                    … Read More
In each of the Questions 1 to 6 verify that the given functions (explicit) is a solution of the corresponding differential equation: Question 1. y… Read More
Question 1. If a parabolic reflector is 20 cm in diameter and 5 cm deep, find the focus. Solution: The origin of the coordinate plane… Read More
Question 1. Write the following in decimal form and say what kind of decimal expansion each has : (i) 36/100  Solution: In the given question, we… Read More
Question 1. Which of the following pairs of linear equations has unique solution, no solution, or infinitely many solutions. In case there is a unique… Read More
Question 1. Let ∆ ABC ~ ∆ DEF and their areas be, respectively, 64 cm2 and 121 cm2. If EF = 15.4 cm, find BC.… Read More
Question 1: Three vertices of a parallelogram ABCD are A(3, – 1, 2), B (1, 2, – 4), and C (– 1, 1, 2). Find… Read More
Question 1. Check whether the following are quadratic equations : (i) (x + 1)2 = 2(x – 3)  Solution: Here, LHS = (x + 1)2… Read More
Determine order and degree (if defined) of differential equations given in exercises 1 to 10. Question 1.  Solution: Given:  Here the order is 4 and… Read More
Question 1. Using differentials, find the approximate value of each of the following up to 3 places of decimal. (i)√25.3 (ii)√49.5 (iii) √0.6 (iv) (0.009)1/3 (v)… Read More