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

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

Question 1 : A balloon, which always remains spherical on inflation, is being inflated by pumping in 900 cubic centimetres of gas per second. Find the rate at which the radius of the balloon increases when the radius is 15 cm. (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 : The slope of the tangent to the curve  at the point (2, -1) is : (View Answer Video)

Question 4 : The rate of change of the area of a circle with respect to its radius r at r=6cm is: (View Answer Video)

Question 5 : It is given that  at x=1, the function attains its maximum value on the interval[0,2]. Find the value of a? (View Answer Video)

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

Application of Integrals

Question 1 : Using integration, find the area of the triangle ABC, where A is (2,3), B is (4,7) and C is (6,2). (View Answer Video)

Question 2 : Find the area of the region enclosed by the parabola the line y = x + 2. (View Answer Video)

Question 3 : Using the method of integration find the area bounded by the curve |x| + |y| = 1. (View Answer Video)

Question 4 : Find the area between the curves y = x and  (View Answer Video)

Question 5 : Using the method of integration find the area of the region bounded by lines:
2x + y = 4, 3x - 2y = 6 and x - 3y + 5 = 0.
  (View Answer Video)

Probability

Question 1 :  Four cards are drawn successively with replacement from a well shuffled deck of 52 cards. What is the probability that:
 All the four cards are spades?
  (View Answer Video)

Question 2 : A die is thrown 6 times. If 'getting an odd number' is a 'success', what is the probability of obtaining:
 atleast 5 successes?
  (View Answer Video)

Question 3 : If A and B are two events such that P(A)=0.3, P(B)=0.6 and P(B/A)=0.5, find P(AB). (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 : In a hockey match, both teams A and B scored same number of goals up to the end of the game, so to decide the winner, the referee asked both the captains to throw a die alternately and decided that the team, whose captain gets a six first, will be declared the winner. If the captain of the team A was asked to start, find their respective probabilities of winning the match and state whether the decision of the referee was fair or not.      (View Answer Video)

Vector Algebra

Question 1 : Write a unit vector in the direction of the sum of vectors : and   (View Answer Video)

Question 2 : Find  if the vectors  and  are coplanar.   (View Answer Video)

Question 3 : Find the position vector of a point which divides the join of points with position vectors and externally in the ration 2:1.  (View Answer Video)

Question 4 :  Write a unit vector in the direction of the sum of vectors and   (View Answer Video)

Question 5 : Find the scalar quantities from the following:
(i) Time period          (ii) Distance          (iii) Force
(iv) Velocity               (v) Work done          (View Answer Video)