MCQ in English Answers for CBSE Maths 12 Science Differential Equations

Similar Questions from CBSE, 12th Science, Maths, Differential Equations

Question 1 : Find the particular solution of the differential equation given that y = 1 when x = 0.  (View Answer Video)

Question 2 : Obtain the differential equation of the family of circles passing through the points (a, 0) and (-a, 0). (View Answer Video)

Question 3 : Form the differential equation of the family of circles touching the x-axis at origin .  (View Answer Video)

Question 4 : Obtain the differential equation of all the circles of radius r.   (View Answer Video)

Question 5 : If x cos(a + y) = cos y, then prove that  
Hence show that  (View Answer Video)

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

Vector Algebra

Question 1 : Find the projection of the vector on the vector   (View Answer Video)

Question 2 : Find a vector in the direction of that has magnitude 7 units.   (View Answer Video)

Question 3 : Find the vector quantities from the following:
(i) Time period          (ii) Distance          (iii) Force
(iv) Velocity               (v) Work done          
  (View Answer Video)

Question 4 :  Find the direction cosines of the vector joining the points A(1, 2, -3) and B(-1, -2, 1) directed from B to A. (View Answer Video)

Question 5 : Find the magnitude of two vectors a and b having the same magnitude and such that the angle between them is and their scalar product is 1/2. (View Answer Video)

Probability

Question 1 : A bag A contains 4 black and 6 red balls and bag B 7 black and 3 red balls. A die is thrown. If 1 or 2 appears on it, then bag A is chosen, otherwise bag B. It two balls are drawn at random (without replacement) from the selected bag, find the probability of one of them being red and another black.        (View Answer Video)

Question 2 :  A card from a pack of 52 playing card is lost. From the remaining cards of the pack, three cards are drawn at random (without replacement) and are found to be all spades. Find the probability of the lost card being a spade.   (View Answer Video)

Question 3 : 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 4 : One card is drawn from a pack of 52 cards. Find the probability of getting a black face card: (View Answer Video)

Question 5 : A speaks truth in 75% of the cases, while B in 90% of the cases. In what percent of cases are they likely to contradict each other in stating the same fact? Do you think that statement of B is always true?     (View Answer Video)

Integrals

Question 1 : Evaluate :  (View Answer Video)

Question 2 : Find: . (View Answer Video)

Question 3 : Find :  (View Answer Video)

Question 4 : Find . (View Answer Video)

Question 5 : Evaluate :  (View Answer Video)