Solutions for MCQ CBSE 12 Science Maths Relations and Functions in English

Similar Questions from CBSE, 12th Science, Maths, Relations and Functions

Question 1 : Let A = {1, 2, 3}. Then, number of equivalence relations containing (1, 2) are, (View Answer Video)

Question 2 : Let A = {1, 2, 3, 4} and let R = {(2, 2), (3, 3), (4, 4), (1, 2)} be a relation on A. Then, R is, (View Answer Video)

Question 3 : Let * be the binary operation on N given by a * b = LCM of a and b. Find the identity of * in N? (View Answer Video)

Question 4 : A function  defined as  is, (View Answer Video)

Question 5 : Let  be defined as f(x) = 3x. Choose the correct answer. (View Answer Video)

Questions from Other Chapters of CBSE, 12th Science, Maths

Probability

Question 1 : From a lot of 30 bulbs which includes 6 defectives, a sample of 4 bulbs is drawn at random one by one with replacement. Find the probability distribution of the number of defective bulbs. Hence find the mean of the distributions.   (View Answer Video)

Question 2 : Of the students in a college, it is known that 60% reside in hostel and 40% are day scholars (not residing in hostel). Previous year results report that 30% of all students who reside in hostel attain  'A' grade and 20% of day scholars attain 'A' grade in their annual examination. At the end of the year, one student is chosen at random from the college and he has an 'A' grade. What is the probability that the student is a hosteler?   (View Answer Video)

Question 3 : Five bad oranges are accidently mixed with 20 good ones. If four oranges are drawn one by one successively with replacement, then find the probability distribution of number of bad oranges drawn. Hence, find the mean and variance of the distribution.    (View Answer Video)

Question 4 :  Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5 black balls. Two balls are transferred at random from Bag I to Bag II and then a ball is drawn from Bag II.  The ball so drawn is found to be red in colour. Find the probability that the transferred balls were both black.   (View Answer Video)

Question 5 : If P(A)=0.8, P(B)=0.5 and =0.4, find . (View Answer Video)

Application of Integrals

Question 1 : Find the area of the smaller region bounded by the ellipse  and the line  (View Answer Video)

Question 2 : Using integration, find the area of the region bounded by the triangle whose vertices are (-1, 2), (1, 5) and (3, 4). (View Answer Video)

Question 3 : Using integration find the area of the triangular region whose sides have the equations y = 2x + 1, y = 3x + 1 and x = 4. (View Answer Video)

Question 4 : Find the area of the smaller region bounded by the ellipse  and the straight line 8x + 3y = 12. (View Answer Video)

Question 5 : Find the area of the region bounded by the curve  and . (View Answer Video)

Application of Derivatives

Question 1 : The normal at the point (1, 1) on the curve  is: (View Answer Video)

Question 2 : Find the maximum value of in the interval [1,3]. find the maximum value of the same function in [-3,-1]. (View Answer Video)

Question 3 : Find the maximum profit that a company can make if the profit function is given by (View Answer Video)

Question 4 : Find two positive numbers x  and y such that x+y=60 and is maximum. (View Answer Video)

Question 5 : Which of the following functions are strictly decreasing on  (View Answer Video)