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# CBSE Class 12 Mathematics Question Paper: 2017

Mar 23, 2017 16:19 IST

Get CBSE Class 12 Maths 2017 question paper in PDF format. Students can download the complete PDF of the question paper from the download link available at the end of this article. CBSE Class 12 Maths board exam 2017 was held on 20th March 2017 from10:30 AM to 1:30 PM. The pattern of CBSE Class 12 Maths 2017 question paper was completely different from previous year questions paper (i.e. 2016 board exam).

In CBSE Class 12 Maths 2017 question paper, there are:

The CBSE Class 12th Maths paper consisted of 4 sections i.e. A, B, C, and, D; which contained questions worth 100 marks that had to be answered within 3 hours of duration.

 Section Types of Questions Number of Questions Marks of Each Question Total Marks A Very Short-Answer 4 1 4 B Short Answer 8 2 16 C Long Answer I 11 4 44 D Long Answer II 6 6 36 Total Marks: 100

CBSE Class 12 Board Exam 2017: Maths Paper Analysis

A short video on feedback given by teachers and students about CBSE Class 12th Maths Question Paper 2017

Randomly selected questions from CBSE Class 12th Maths Question Paper 2017

Q. Find the distance between the planes 2 x ‒ y + 2 z = 5 and 5 x ‒ 2.5 y + 5 z = 20.

Q.  If A is a skew-symmetric matrix of order 3, then prove that det A = 0.

Q. Find the value of c in Rolle ’s Theorem for the function f (x) = x3 – 3x in [‒√3, 0].

Q. The volume of a cube is increasing at the rate of 9 cm3/s. How fast is its surface area increasing when the length of an edge is 10 cm?

Q. Show that the function f(x) = x3 – 3 x2 + 6 x - 100, is increasing on R.

Q. The x-coordinate of a point on the line joining the points P (2, 2, 1) and Q (5, 1, -2) is 4. Find its z-coordinate.

Q. A die, whose faces are marked 1, 2, 3 in red and 4, 5, 6 in green, is tossed. Let A be the event “number obtained is even” and B be the event “number obtained is red”. Find if A and B are independent events.

Q. Two tailors, A and B, earn Rs. 300 and Rs. 400 per day respectively. A can stitch 6 shirts and 4 pairs of trousers while B can stitch 10 shirts and 4 pairs of trousers per day. To find how many days should each of them work and if it is desired to produce at least 60 shirts and 32 pairs of trousers at a minimum labour cost, formulate this as an LPP.

Q. Solve the differential equation (tan-1 xy) dx = (1 + x2) dy.

Q. There are 4 cards numbered 1, 3, 5 and 7, one number on one card. Two cards are drawn at random without replacement. Let X denote the sum of the numbers on the two drawn cards. Find the mean and variance of X.

Q. Of the students in a school, it is known that 30% have 100% attendance and 70% students who have 100% attendance attain A grade and 10% irregular students attain A grade in their annual examination. At the end of the year, one student is chosen at random from the school and he was found to have an A grade. What is the probability that the student has 100% attendance? Is regularity required only in school? Justify your answer.

Q. Maximise, Z = x + 2y

Subject to the constraints

x + 2y ≥ 100

2xy ≤ 0

2x + y ≤ 200

x, y ≥ 0

Solve the above LPP graphically.

Q. Show that the surface area of a closed cuboid with square base and given volume is minimum, when it is a cube.

Q. Using the method of integration, find the area of the triangle ABC, coordinates of whose vertices are A (4, 1) B (6, 6) and C (8, 4).

Q. Find the particular solution of the differential equation (x – y)  = (x + 2y), given that y = 0 when x=1.

Q. Find the coordinate of the point where the line through the points (3, -4, -5) and (2, -3, 1) crosses the plane determined by the points (1, 2, 3), (4, 2, -3) and (0, 4, 3).

Download CBSE Class 12 Mathematics Question Paper 2017

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