Application of Integrals MCQ CBSE Maths 12 Science Answers in English

Similar Questions from CBSE, 12th Science, Maths, Application of Integrals

Question 1 : Using the method of integration, find the area of the region bounded by the lines 3x - y - 3 = 0, 2x + y - 12 = 0 and x -2y - 1 = 0. (View Answer Video)

Question 2 : Find the area of the smaller region bounded by the ellipse  and the line  (View Answer Video)

Question 3 :

Find the area of the given curves and given lines:
 and x-axis

(View Answer Video)

Question 4 : Find the area of the given curves and given lines:
 and x-axis (View Answer Video)

Question 5 : 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)

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

Application of Derivatives

Question 1 :

The total revenue in Rupees received from the sale of 'x' units of a product is given by :

                                    
The marginal revenue, when x=15 is :
 

(View Answer Video)

Question 2 : The normal at the point (1, 1) on the curve  is: (View Answer Video)

Question 3 : The volume of a cube is increasing at the rate of 9 cubic centimetres per second. How fast is the surface area increasing when the length of an edge is 10 centimetres? (View Answer Video)

Question 4 : The line y=mx+1 is a tangent to the curve if the value of m is ________. (View Answer Video)

Question 5 : Find two numbers whose sum is 24 and whose product is as large as possible. (View Answer Video)

Vector Algebra

Question 1 : Find the vector quantities from the following:
(i) Time period          (ii) Distance          (iii) Force
(iv) Velocity               (v) Work done          
  (View Answer Video)

Question 2 : Find the area of the parallelogram whose adjacent sides are determined by the vectors  and  (View Answer Video)

Question 3 : Find a unit vector in the direction of   (View Answer Video)

Question 4 : Find the vector quantities : 
(i)     Work                     (ii)      Force
(iii)   Velocity                 (iv)     Displacement.   (View Answer Video)

Question 5 : For given vectors,and find the unit vector in the direction of the vector a + b. (View Answer Video)

Probability

Question 1 : Compute P(A/B) if P(B) =0.5 and P(AB)=0.32. (View Answer Video)

Question 2 : Consider the experiment of tossing a coin. If the coin shows head, toss is done again, but if it shows tail, then throw a die. Find the conditional probability of the events that ' the die shows a number greater than 4', given that ' there is atleast one tail'.    (View Answer Video)

Question 3 : A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability distribution of the number of successes and hence find its mean.  (View Answer Video)

Question 4 : If the mean and variance of a Binomial distribution are 9 and 6 respectively, find the number of trails. (View Answer Video)

Question 5 : A bag contains (2n+1) coins. It is known that (n-1) of these coins have a head on both sides, whereas the rest of the coins are fair. A coin is picked up at random from the bag and is tossed. If the probability that the toss results in a head is , determine the value of n. (View Answer Video)