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

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

Question 1 : The radius of an air bubble is increasing at the rate of . At what rate is the volume of the bubble increasing when its radius is 1 cm? (View Answer Video)

Question 2 : A cylindrical tank of radius 10 m is being filled with wheat at the rate of 314 cubic meters per hour. Then the depth of the wheat is increasing at the rate of: (View Answer Video)

Question 3 : Find the equation of the tangent to the curve at the points, where it cuts the x axis. (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 : The total revenue (in Rs) received from the sale of 'x' units of a product is given by :
R(x) =3x²+36x+5.
FInd the marginal revenue when x=5, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instant. (View Answer Video)

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

Vector Algebra

Question 1 : Evaluate the product (3a - 5b).(2a + 7b). (View Answer Video)

Question 2 : Compute the magnitude of the following vectors:
(View Answer Video)

Question 3 : L and M are two points with position vectors and respectively. Write the position vectors of a point N which divides the line segment LM in the ratio 2:1 externally.   (View Answer Video)

Question 4 : For given vectors,and find the unit vector in the direction of the vector a + b. (View Answer Video)

Question 5 : Find a unit vector parallel to the sum of vectors and   (View Answer Video)

Inverse Trigonometric Functions

Question 1 :   then find the value of x. (View Answer Video)

Question 2 : Write the value of the following:
(View Answer Video)

Question 3 : If     Find the values of x. (View Answer Video)

Question 4 : If then value of y lies between.....? (View Answer Video)

Question 5 : Write in the simplest form:
(View Answer Video)

Probability

Question 1 : 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 2 : There are three coins. One is a two-headed coin (having head on both faces), another is a biased coin that comes up heads 75% of the times and third is also a biased coin that comes up tails 40% of the times. One of the three coins is chosen at random and tossed, and it shows heads. What is the probability that it was the two-headed coin?  (View Answer Video)

Question 3 : If E and F are two events such that,
 , Find P(E or F).         (View Answer Video)

Question 4 : A coin is biased so that the heads is 2 times as likely to occur as tail. If the coin is tossed twice, find the probability distribution of number of tails. Hence find the mean of the distribution.  (View Answer Video)

Question 5 : A class has 15 students whose ages are 14, 17, 15, 14, 21, 17, 19, 20, 16, 18, 20, 17, 16, 19 and 20 years. One student is selected in such a manner that each has the same chance of being chosen and the age X of the selected student is recorded. What is the probability of the random variable X? Find the mean.   (View Answer Video)