Application of Derivatives CBSE Maths 12 Science MCQ Answers in English

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

Question 1 : The slope of the tangent to the curve:

at the point (2, -1) is: (View Answer Video)

Question 2 : The slope of the normal to the curve  at x = 0 is: (View Answer Video)

Question 3 : The function f is a differentiable function and satisfies the functional equation f(x) + f(y) = f(x + y) – xy – 1for every pair x, y of real numbers. If f(1) = 1, then the number of integers n ≠ 1 for which f(n) = n is_______________. (View Answer Video)

Question 4 : The slope of the tangent to the curve  at the point (2, -1) is : (View Answer Video)

Question 5 : Find the maximum value of in the interval [1,3]. find the maximum value of the same function in [-3,-1]. (View Answer Video)

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

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 : From a lot of 30 bulbs which includes 6 defectives, a sample of 4 bulbs is drawn at random one by one with replacement. Find the probability distribution of the number of defective bulbs. Hence find the mean of the distributions.   (View Answer Video)

Question 3 : A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability distribution of the number of successes and hence find its mean.  (View Answer Video)

Question 4 :  In a group of 400 people, 160 are smokers and non-vegetarian, 100 are smokers and vegetarian and the remaining are non-smokers and vegetarian. The probabilities of getting a special chest disease are 35%, 20% and 10% respectively. A person is chosen from the group at random and is found to be suffering from the disease. What is the probability that the selected person is a smoker and non-vegetarian? What value is reflected in this question?     (View Answer Video)

Question 5 : An experiment succeeds thrice as often as it fails. Find the probability that in the next trials, there will be atleast 3 successes.    (View Answer Video)

Vector Algebra

Question 1 : Find the scalar and vector components of the vector with initial point (2, 1) and terminal point (-5, 7). (View Answer Video)

Question 2 : Find the value of x and y so that the vectors  and are equal. (View Answer Video)

Question 3 : Find a unit vector in the direction of   (View Answer Video)

Question 4 : Find a vector in the direction of vector  which has magnitude 21 units.  (View Answer Video)

Question 5 : Find the value of if the points with position vectors  and are coplanar.  (View Answer Video)

Differential Equations

Question 1 : If y(x) is a solution of the differential equation   and y(0) = 1, then find the value of  (View Answer Video)

Question 2 : Find the solution of the differential equation  (View Answer Video)

Question 3 : Find the particular solution of the differential equation  given that y = 0, when x = 0. (View Answer Video)

Question 4 : Solve the differential equation:
  (View Answer Video)

Question 5 : Find the general solution of the following differential equation :
  (View Answer Video)