EXERCISE 5.6 If x and y are connected parametrically by the equations given in Exercises 1 to 10, without eliminating the parameter, Find.(Class 12 ncert solution math exercise 5.6) Question 1: , Solution: Given, Then, Question 2: Solution: Given, Then, Question 3: Solution: Given, Then, Question 4: Solution: Given, Question 5: Solution: Given, Then, … Read more
Exercise 5.3 Find in the following(Class 12 ncert solution math exercise 5.3) Question 1: 2x + 3y = sin x Solution: 2x + 3y = sin x Differentiate with respect to x Question 2:- 2x + 3y = sin y Solution :- 2x + 3y = sin y Differentiate w.r.t. … Read more
f(x) = 5x^2+6x-9 prove that f is bijective. Question:- Consider given by prove that f is bijective. Solution:- To prove f is bijective,it is to prove f is one-one and onto Here, One-one: Let , such that i.e. f is one-one function. Onto:- Let f(x) = y Since, Obiviously, the value of Every value … Read more
Exercise 5.2(Continuity and differentiability) Differentiate the functions with respect to x in Exercises 1 to 8.(Class 12 ncert solution math exercise 5.2) Question 1:- Solution: Differentiate w.r.t. x Question 2:- Solution:- Differentiate w.r.t. x Question 3:- Solution:- Differentiate w.r.t. x Question 4:- Solution:- Differentiate with respect to x Question 5:- Solution: Differentiate with respect to … Read more
Exercise 5.1 (Continuity and Differentiability) Question 1: Prove that the function is continuous at and at . (Class 12 ncert solution math exercise 5.1) Solution: The given function is At Therefore, is continous at . Therefore, is continous at . Therefore, is continous at . Question 2: Examine the continuity of the function at . … Read more
Q:) Rahul had some bananas and he divided them into two lots A and B. He sold the first lot at the rate of ₹ 2 for 3 bananas and the second lot at the rate of ₹ 1 per banana and got a total of ₹400. If he had sold the first lot at … Read more
Q:) Ruhi invested a certain amount of money in two schemes A and B, which offer interest at the rate of 8% per annum and 9% per annum, respectively. She received ₹ 1860 as annual interest. However, had she interchanged the amount of investments in the two schemes, she would have recieved ₹ 20 more … Read more
Multiple choice (Probability) Choose and write the correct option in the following question:(multiple choice of probability ) 1.) From the set {1, 2, 3, 4, 5}, two number a and b (a≠ b) are choosen at random. The probability that a/b is an integer is (a) 1/3 … Read more
Multiple choice (Linear programming) Choose and write the correct option in the following question:(multiple choice question of linear programming) 1.) The feasible region for an LPP is shown below: Let Z = 3x + 4y be the objective function. Minimum of Z occurs at (a) (0, 0) … Read more
Multiple choice (3 Dimensional Geometry) ` Choose and write the correct option in the following question:(Multiple choice question of 3 dimensional geometry) 1.) The co-ordinates of the foot of the perpendicular drawn from the point (2, -3, 4) on the y-axis is (a) (2, 3, 4) (b) (-2, … Read more