CBSE Application of Derivatives Maths 12 Science Answers for MCQ in English

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

Question 1 : Which of the following functions are strictly decreasing on  (View Answer Video)

Question 2 : Sand is pouring from a pipe at the rate of . The falling sand forms a cone on the ground in such a way that the height of the cone is always one-sixth of the radius of the base. How fast is the height of the sand cone increasing, when the height is 4 cm? (View Answer Video)

Question 3 : On which of the following intervals in the function  strictly decreasing? (View Answer Video)

Question 4 : For all real values of x the minimum value of. (View Answer Video)

Question 5 : The point on the curve  which is nearest to the point (0, 5) is  (View Answer Video)

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

Vector Algebra

Question 1 : Find the projection of the vector on the vector  (View Answer Video)

Question 2 : Find   if   and   (View Answer Video)

Question 3 : Find if  and  (View Answer Video)

Question 4 :  Write a vector in the direction of the vector  that has magnitude 9 units.   (View Answer Video)

Question 5 : Find the vector quantities : 
(i)     Work                     (ii)      Force
(iii)   Velocity                 (iv)     Displacement.   (View Answer Video)

Probability

Question 1 : If E and F be two evets such that , , find if E and F are independent events. (View Answer Video)

Question 2 : Assume that the chances of a patient having a heart attack are 40%. Assume that a meditation and yoga course reduces the risk of heart attack by 30% and the prescription of certain drugs and certain restrictions reduces the risk by 25%. At a time, a patient choses only one of the two options with equal probabilities. After going through one of the two options, the patient is selected at random who is suffering from a heart attack. Find the probability that the patient followed a course of meditation and yoga. Write the value referred here.      (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 : A and B throw a pair of dice alternately. A wins the game if he gets a total of 9 and B wins if he gets a total of 7. If A starts the game, find the probability of winning the game by B.   (View Answer Video)

Question 5 : Three persons A, B and C apply for a  job of Manager in a Private company. Chance of their selection (A, B and C) are in the ratio 1:2:4. The probability that A, B, and C can introduce changes to improve profits of company are 0.8, 0.5 and 0.3 respectively, if the changes does not take place, find the probability that is due to the appointment of C.    (View Answer Video)

Application of Integrals

Question 1 : Using integration, find the area of the region bounded by the curves  and y = x. (View Answer Video)

Question 2 : Find the area of the smaller region bounded by the ellipse  and the line  (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 : 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 5 : Find the area of the region . (View Answer Video)