Prepare for CBSE class 12 Maths board paper with the help of previous years solved question papers. Vedantu provides CBSE last 5-year Maths question paper with video solutions.

Question - Evaluate : .........
Vedantu - Your Personal Teacher Online
- Get an clear edge over other students by constant revision of important topics with an awesome teacher.
- Get your doubts and questions resolved instantly by booking an instant live session
- Prepare for competitive exams with our exam courses and achieve your goal
- Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

Question - Two schools A and B want to award their selected students on the values of sincerity,
truthfulness and helpfulness. T-he school A wants to award x each, y each and z each
for the three respective values to 3, 2 and 1 students respectively with a total award
money of 1,600. School B wants to spend 2,300 to award its 4, 1 and 3 students
on the respective values (by giving the same award money to the three values as
before). If the total amount for one prize on each value is 900, using matrices, find the
award money for each value. Apart from these three values, suggest one more value
which should be considered for award.
Vedantu - Your Personal Teacher Online
- Get an clear edge over other students by constant revision of important topics with an awesome teacher.
- Get your doubts and questions resolved instantly by booking an instant live session
- Prepare for competitive exams with our exam courses and achieve your goal
- Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

Question - Using integration, find the area of the region bounded by the triangle V whose vertices are (-1, 2), (1, 5) and (3, 4).
Vedantu - Your Personal Teacher Online
- Get an clear edge over other students by constant revision of important topics with an awesome teacher.
- Get your doubts and questions resolved instantly by booking an instant live session
- Prepare for competitive exams with our exam courses and achieve your goal
- Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

Solve the differential equation -------
Vedantu - Your Personal Teacher Online
- Get an clear edge over other students by constant revision of important topics with an awesome teacher.
- Get your doubts and questions resolved instantly by booking an instant live session
- Prepare for competitive exams with our exam courses and achieve your goal
- Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

Question - If the function f :-------
Vedantu - Your Personal Teacher Online
- Get an clear edge over other students by constant revision of important topics with an awesome teacher.
- Get your doubts and questions resolved instantly by booking an instant live session
- Prepare for competitive exams with our exam courses and achieve your goal
- Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

Question - A manufacturing company makes two types of teaching aids A and B of Mathematics for class XII. Each type of A requires 9 labour hours of fabricating and 1 labour hour for finishing. Each type of B requires 12 labour hours for fabricating and 3 labour
hours for finishing. For fabricating and finishing, the maximum labour hours available
per week are 180 and 30 respectively. The company makes a profit of 80 on each piece of type A and 120 on each piece of type B. How many pieces of type A and type B should be manufactured per week to get a maximum profit? Make it as an LPP and
solve graphically. What is the maximum profit per week?
Vedantu - Your Personal Teacher Online
- Get an clear edge over other students by constant revision of important topics with an awesome teacher.
- Get your doubts and questions resolved instantly by booking an instant live session
- Prepare for competitive exams with our exam courses and achieve your goal
- Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

Question - Two numbers are selected at random (without replacement) from the first six positive
integers. Let X denote the larger of the two numbers obtained. Find the probability
distribution of the random variable X, and hence find the mean of the distribution.
Vedantu - Your Personal Teacher Online
- Get an clear edge over other students by constant revision of important topics with an awesome teacher.
- Get your doubts and questions resolved instantly by booking an instant live session
- Prepare for competitive exams with our exam courses and achieve your goal
- Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

Question - Find the equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5 which is perpendicular to the plane x- y + z = 0. Also find the distance of the plane obtained above, from the origin.
Vedantu - Your Personal Teacher Online
- Get an clear edge over other students by constant revision of important topics with an awesome teacher.
- Get your doubts and questions resolved instantly by booking an instant live session
- Prepare for competitive exams with our exam courses and achieve your goal
- Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

Question - If the sum of the lengths of the hypotenuse and a side of a right triangle is given, show
that the area of the triangle is maximum, when the angle between them is 60°.
Vedantu - Your Personal Teacher Online
- Get an clear edge over other students by constant revision of important topics with an awesome teacher.
- Get your doubts and questions resolved instantly by booking an instant live session
- Prepare for competitive exams with our exam courses and achieve your goal
- Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

Question - Evaluate: --------
Vedantu - Your Personal Teacher Online
- Get an clear edge over other students by constant revision of important topics with an awesome teacher.
- Get your doubts and questions resolved instantly by booking an instant live session
- Prepare for competitive exams with our exam courses and achieve your goal
- Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

Question - Show that the four points A, B, C and D with position vectors
............. Respectively are coplanar.
Vedantu - Your Personal Teacher Online
- Get an clear edge over other students by constant revision of important topics with an awesome teacher.
- Get your doubts and questions resolved instantly by booking an instant live session
- Prepare for competitive exams with our exam courses and achieve your goal
- Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

Question - Find the value(s) of x for which y = [x (x- 2)]^2 is an increasing function.
Vedantu - Your Personal Teacher Online
- Get an clear edge over other students by constant revision of important topics with an awesome teacher.
- Get your doubts and questions resolved instantly by booking an instant live session
- Prepare for competitive exams with our exam courses and achieve your goal
- Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

Question - An experiment succeeds thrice as often as it fails. Find the probability that in the next
five trials, there will be at least 3 successes.
Vedantu - Your Personal Teacher Online
- Get an clear edge over other students by constant revision of important topics with an awesome teacher.
- Get your doubts and questions resolved instantly by booking an instant live session
- Prepare for competitive exams with our exam courses and achieve your goal
- Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

Question - ---------- find the value of x.
Vedantu - Your Personal Teacher Online
- Get an clear edge over other students by constant revision of important topics with an awesome teacher.
- Get your doubts and questions resolved instantly by booking an instant live session
- Prepare for competitive exams with our exam courses and achieve your goal
- Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

Question - If x = cost (3-2 cos^2 t) and y = sin t (3-2 sin^2 t), find the value of -------------
Vedantu - Your Personal Teacher Online
- Get an clear edge over other students by constant revision of important topics with an awesome teacher.
- Get your doubts and questions resolved instantly by booking an instant live session
- Prepare for competitive exams with our exam courses and achieve your goal
- Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

Question - Find the particular solution of the differential equation log ----- 3x + 4y, given that y = 0 when x = 0.
Vedantu - Your Personal Teacher Online
- Get an clear edge over other students by constant revision of important topics with an awesome teacher.
- Get your doubts and questions resolved instantly by booking an instant live session
- Prepare for competitive exams with our exam courses and achieve your goal
- Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

Question - Find the equations of the tangent and normal to the --------at the point-----
Vedantu - Your Personal Teacher Online
- Get an clear edge over other students by constant revision of important topics with an awesome teacher.
- Get your doubts and questions resolved instantly by booking an instant live session
- Prepare for competitive exams with our exam courses and achieve your goal
- Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

Question - The scalar product of the vector ------- with a unit vector along the sum of vectors --------- is equal to one. Find the value of A and hence find
the unit vector along ------
Vedantu - Your Personal Teacher Online
- Get an clear edge over other students by constant revision of important topics with an awesome teacher.
- Get your doubts and questions resolved instantly by booking an instant live session
- Prepare for competitive exams with our exam courses and achieve your goal
- Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

Question - 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?
Vedantu - Your Personal Teacher Online
- Get an clear edge over other students by constant revision of important topics with an awesome teacher.
- Get your doubts and questions resolved instantly by booking an instant live session
- Prepare for competitive exams with our exam courses and achieve your goal
- Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses

Question - Using properties of determinants, prove that: ----------
Vedantu - Your Personal Teacher Online
- Get an clear edge over other students by constant revision of important topics with an awesome teacher.
- Get your doubts and questions resolved instantly by booking an instant live session
- Prepare for competitive exams with our exam courses and achieve your goal
- Skipped a topic in tuitions? Learn it on Vedantu by taking our topic courses