Team Gmath 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
Multiple choice (Vectors) Choose and write the correct option in the following question.(vectors multiple choice) 1.) The value of the expression is (a) (b) (c) (d) Answer (c) 2.) The area of the triangle formed by vertices O, A, B where and is (a) sq.units … Read more
Multiple choice (Differential equation) Choose and write the correct option in the following question:(differential equation multiple choice) 1.) The degree of differential equation is (a) 1 (b) 2 (c)3 … Read more
Multiple choice ( Application of Integral) Choose and write the correct option in the following question:(application of integral multiple choice) 1.) The area enclosed by the circle x² + y² = 2 is equal to (a) 4π sq.units (b) 2√2π sq.units (c) 4π² sq.units … Read more
Multiple choice(Integtration) Choose and write the correct option in the following question:(integration multiple choice question) 1.) is equal to (a) (b) (c) (d) Answer (a) 2.) is equal to (a) … Read more