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

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

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

Question 2 : The line y = mx + 1 is a tangent to the curve  if the value of m 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 length x of a rectangle is decreasing at the rate of 5cm/minute. and width y is increasing at the rate of 4cm/minute. When x=8cm and y=6 cm, find the rate of changes of:
(a) the area of the rectangle. (View Answer Video)

Question 5 : Find two positive numbers x  and y such that x+y=60 and is maximum. (View Answer Video)

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

Continuity and Differentiability

Question 1 : Differentiate the function w.r.t.x . (View Answer Video)

Question 2 : Differentiate the function  with respect to x. (View Answer Video)

Question 3 : Differentiate w.r.t.x the function , for some constant a and b. (View Answer Video)

Question 4 : Differentiate the function w.r.t.x . (View Answer Video)

Question 5 : If x and y are connected parametrically by the equation   , without eliminating the parameter, find . (View Answer Video)

Application of Integrals

Question 1 : Using integration, find the area of the region bounded by the curves: y = |x + 1| + 1, x = -3, x = 3, y = 0. (View Answer Video)

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

Question 3 : Find the area enclosed between the parabola  and the line y = mx. (View Answer Video)

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

Question 5 : Using the method of integration find the area of the triangle ABC, coordinates of whose vertices are A(2, 0), B(4, 5) and C(6, 3). (View Answer Video)

Probability

Question 1 : If E and F are two events such that,
 , Find P(not E and not F). (View Answer Video)

Question 2 : A couple has 2 children. Find the probability that both are boys, if it is known that the older child is boy. (View Answer Video)

Question 3 : 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 4 : Out of a group of 30 honest people, 20 always speak the truth. Two persons are selected at random from the group. Find the probability distribution of the number of selected persons who speak the truth. Also find the mean of the distribution. What values are described in this question?     (View Answer Video)

Question 5 :  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)