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

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

Question 1 : Find the area of smaller region bounded by the ellipse  and the line . (View Answer Video)

Question 2 : Using integration, find the area bounded by the tangent to the curve  at the point (2, 1) and the lines whose equations are x = 2y and x = 3y - 3. (View Answer Video)

Question 3 : Using the method of integration find the area bounded by the curve |x| + |y| = 1. (View Answer Video)

Question 4 : Using integration, find the area of the triangle formed by a positive x-axis and tangent and normal to the circle  at . (View Answer Video)

Question 5 : Find the area of the region bounded by the curves and x = 3. (View Answer Video)

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

Continuity and Differentiability

Question 1 : Differentiate the function  with respect to x. (View Answer Video)

Question 2 : Differentiate the function w.r.t.x . (View Answer Video)

Question 3 : If , find  in terms of y alone. (View Answer Video)

Question 4 : If , find  in terms of y alone. (View Answer Video)

Question 5 :  Find the second order derivative of the function . (View Answer Video)

Probability

Question 1 : 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 2 : Out of a group of 30 honest people, 20 always speak the truth. Two persons are selected at random from the group. Find the probability distribution of the number of selected persons who speak the truth. Also find the mean of the distribution. What values are described in this question?     (View Answer Video)

Question 3 : In a school, there are 1,000 students, out of which 380 are girls. Out of 380 girls, 10% of the girls scored highest in GS. What is the probability that a student chosen randomly scored highest in GS given that the chosen student is a girl?  (View Answer Video)

Question 4 : A bag I contains 5 red and 4 white balls and a bag II contains 3 red and 3 white balls. Two balls are transferred from the bag I to the bag II and then one ball is drawn from bag II. If the ball drawn from the bag II is red, then find the probability that one red ball and one white ball are transferred from the bag I to the bag II.   (View Answer Video)

Question 5 : 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)

Determinant

Question 1 : Find the value of k, if the area of the triangle is 4 sq unit and vertices are (k, 0) (4, 0) (0, 2). (View Answer Video)

Question 2 : Evaluate the determinant: . (View Answer Video)

Question 3 :  Find the area of the triangle with vertices at the points (-2, -3), (3, 2), (-1, -8). (View Answer Video)

Question 4 : Evaluate . (View Answer Video)

Question 5 : If area of a triangle is 35 sq unit with vertices (2, -6), (5, 4) and (k, 4), then k is, (View Answer Video)