12 Science Maths CBSE Application of Derivatives Answers for MCQ 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 : If , then the approximate value of f (3.02) is  (View Answer Video)

Question 3 : The slope of the normal to the curve  at x = 0 is :
  (View Answer Video)

Question 4 : The normal  to the curve  passing (1,2) is____________. (View Answer Video)

Question 5 : Find the maximum profit that a company can make if the profit function is given by (View Answer Video)

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

Three Dimensional Geometry

Question 1 : Find the distance of the point    from the plane 3x + y - z + 2+0 measured parallel to the line  Also, find the foot of the perpendicular from the given point upon the given plane. (View Answer Video)

Question 2 : Find the distance of the point (-1, -5, -10) from the point of intersection of the line joining the points A(2, -1, 2) and B(5, 3, 4) with the plane x - y + z = 5. (View Answer Video)

Question 3 : The cartesian equation of a line is , write its vector form. (View Answer Video)

Question 4 : Find the distance of the plane : 3x - 4y + 12z = 3 from the origin. (View Answer Video)

Question 5 : Find the distance between the point (-1, -5, -10) and the point of intersection of line and plane
x - y + z = 5. (View Answer Video)

Probability

Question 1 : 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 2 : One card is drawn from a pack of 52 cards. Find the probability of getting a jack of hearts: 
  (View Answer Video)

Question 3 : 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)

Question 4 :  Three numbers are selected at random (without replacement ) from first six positive integers. Let X denote the largest of the three numbers obtained. Find the probability distribution of X. Also, find the mean and variance of the distribution.  (View Answer Video)

Question 5 :  A bag contains 3 red and 7 black balls. 2 balls are selected at random one by one without replacement. If the second selected ball happens to be red, what is the probability that the first selected ball is also red?   (View Answer Video)

Integrals

Question 1 : Find : .  (View Answer Video)

Question 2 : Find the integral of the function . (View Answer Video)

Question 3 : Evaluate :  (View Answer Video)

Question 4 : Find the integral of the function . (View Answer Video)

Question 5 : Evaluate :  (View Answer Video)