NCERT Solutions

Miscellaneous Exercise 1. Find the derivative of following functions from first principle: (i) (ii) (iii) (iv) Ans. (i)Given: then = = = (ii)Given: then = = = (iii)Given: then = = = (iv)Given: then = = = Find the derivative of the following functions (it is to be understood that and are fixed non-zero constants … Read more

Miscellaneous Exercise 1. A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5 marbles are drawn from the box, what is the probability that: (i) all will be blue? (ii) at least one will be green? Ans. Total marks = 10 + 20 + 30 = 60 We have to draw … Read more

Exercise 13.1 Evaluate the following limits in Exercises 1 to 22. 1. Ans. 3 + 3 = 6 2. Ans. 3. Ans. 4. Ans. 5. Ans. 6. Ans. Putting as 7. Ans. = = 8. Ans. = = = 9. Ans. 10. Ans. = = = = = 1 + 1 = 2 11. Ans. … Read more

Exercise 13.2 1. Find the derivative of at Ans. Here Therefore, Derivative of at is 2. Find the derivative of at Ans. Here Therefore, Derivative of at is 99 3. Find the derivative of at Ans. Here Therefore, Derivative of at is 1 4. Find the derivatives of the following functions from first principle: (i) … Read more

Hydrogen  1. Justify the position of hydrogen in the periodic table on the basis of its electronic configuration. 2. Write the names of isotopes of hydrogen. What is the mass ratio of these isotopes? 3. Why does hydrogen occur in a diatomic form rather than in a monoatomic form under normal conditions? 4. How can … Read more

Miscellaneous Exercise 1. Decide among the following sets, which sets are subsets of each another: A = { R and satisfies }, B = {2, 4, 6}, C = {2, 4, ,6 , 8…….}, D = {6} Ans. Given: A = { R and satisfies } = { R and satisfies } = {2, 6} … Read more

Miscellaneous Exercise Solve the inequalities: 1. Ans. Given: 2. Ans. Given: 3. Ans. Given: 4. Ans. Given: 5. Ans. Given: 6. Ans. Given: Solve the inequalities in Exercises 7 to 10 and represent the solution graphically on number line: 7. Ans. Given: and and and 8. Ans. Given: and and and and 9. Ans. Given: … Read more

Exercise 10.1 1. Draw a quadrilateral in the Cartesian plane, whose vertices are and Also, find its area. Ans. Area of quadrilateral ABCD = Area of + Area of trapezium ABED = = = 26 + 34.8 = 60.8 sq. units 2. The base of an equilateral triangle with side lies along the axis such … Read more