Chapter 6(Miscellaneous Exercise) Class 11 Math Solve the inequalities in Exercises 1 to 6.I(Chapter 6 Miscellaneous ncert math solution class 11) Question 1: 2 ≤ 3x – 4 ≤ 5 Solution: Given that, 2 ≤ 3x – 4 ≤ 5 ⇒ 2 ≤ 3x – 4 ≤ 5 ⇒ 2 + 4 ≤ 3x – 4 + … Read more
Exercise 6.3(Linear Inequalities) Solve the following system of inequalities graphically:(Ex 6.3 Linear Inequalities ncert math solution class 11) Question 1: x ≥ 3, y ≥ 2 Solution : Given that, x ≥ 3 …..(i) y ≥ 2…….(ii) The graph of the lines x = 3 and y = 2 are drawn in the figure below. … Read more
Exercise 6.2(Linear Inequalities ) Solve the following inequalities graphically in two-dimensional plane:(Ex 6.2 Linear Inequalities ncert math solution class 11) Question 1: x + y < 5 Solution: Given that x 0 5 y 5 0 Now, draw a dotted line x + y = 5 in the graph Now, consider x + y < … Read more
Exercise 6.1 (Linear Inequalities) Ex 6.1 Linear Inequalities ncert math solution class 11 Question 1: Solve , when (i) is a natural number. (ii) is an integer. Solution: Given that: (i) is a natural number. Hence, in this case, the solution set . (ii) is an integer. The integers less than are …-3, . Hence, … Read more
Miscellaneous(Exercise 6) Question 1: Using differentials; find the approximate value of each of the following. (a) (b) Answer : (a) Let Let and Then, Now, dy is approximately equal to and given by, Hence, the approximate value of is (b) Let Let and Then, Now, dy is approximately equal to and is given by, Hence, … Read more
EXERCISE 6.5( Application of derivative) Question 1: Find the maximum and minimum values, if any, of the following functions given by:(class 12 maths ex 6.5 ncert solution) (i) (ii) (iii) (iv) Solution: (i) Given function is: We know that for all Adding 3 both sides, we get The minimum value of is 3 when , … Read more
EXERCISE 6.3 Question 1: Find the slope of the tangent to the curve at . Solution: The slope of tangent to the curve If , then slope Question 2: Find the slope of the tangent to the curve at . Solution: The slope of tangent to the curve If , then … Read more
Exercise 6.2 class 12 maths ex 6.2 ncert solution Question 1: Show that the function given by is strictly increasing on . Solution: Therefore, the function is strictly increasing on . Question 2: Show that the function given by is strictly increasing on . Solution: , For all Therefore, the … Read more
EXERCISE 6.1 1. Find the rate of change of the area of a circle with respect to its radius r when. (class 12 maths ex 6.1 ncert solution) (a) r = 3 cm (b) r = 4 cm. Solution: We know that the area of a circle, Therefore, the rate of change … Read more