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

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

Question 1 : Using the method of integration, find the area of the region bounded by the lines 3x - 2y + 1 = 0, 2x + 3y -21 = 0 and x - 5y + 9 = 0. (View Answer Video)

Question 2 : Find the area of the smaller region bounded by the ellipse  and the straight line 8x + 3y = 12. (View Answer Video)

Question 3 : Given that , for x = 0 to x = 20. Find f(x) and g(x) such that the area between f(x) and from x = 0 to x = 5 be and area between g(x) and from y = 0 to y = 5 be . Is = ? Like functions f and g which work is better, team work or individual work? (View Answer Video)

Question 4 : Find the area bounded by the curve y = sin x between x = 0 and  (View Answer Video)

Question 5 : Find the area of the smaller region bounded by the ellipse  and the line  (View Answer Video)

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

Integrals

Question 1 : Given  . Write f(x) satisfying the above.  (View Answer Video)

Question 2 : Find :  (View Answer Video)

Question 3 : Show that :  (View Answer Video)

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

Question 5 : Find : .  (View Answer Video)

Probability

Question 1 : Assume that the chances of a patient having a heart attack are 40%. Assume that a meditation and yoga course reduces the risk of heart attack by 30% and the prescription of certain drugs and certain restrictions reduces the risk by 25%. At a time, a patient choses only one of the two options with equal probabilities. After going through one of the two options, the patient is selected at random who is suffering from a heart attack. Find the probability that the patient followed a course of meditation and yoga. Write the value referred here.      (View Answer Video)

Question 2 : 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 3 : A box contains 50 bolts and 50 nuts. Half of the bolts and nuts are rusted. If two items are drawn with replacement, what is the probability that either both are rusted or both are bolts.    (View Answer Video)

Question 4 :  A man is known to speak the truth 3 out of 5 times. He throws a die and reports that it is 1. Find the probability that it is actually 1.   (View Answer Video)

Question 5 : 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)

Relations and Functions

Question 1 : If f is the greatest integer function and g is the modulus function . Write the value of g o f(-1/3) – f o g ( -1/3 ). (View Answer Video)

Question 2 : Functions  are defined respectively, by , find  .  (View Answer Video)

Question 3 : A function  defined as  is, (View Answer Video)

Question 4 : Functions  are defined respectively, by , find  .  (View Answer Video)

Question 5 : If f and g two functions such that they are one-one then g o f is: (View Answer Video)