# CBSE Class 12 Mathematics Question Paper 2017: Delhi

Download CBSE Class 12 Maths 2017 question paper in PDF format. With this article, 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 from 10:30 AM to 1:30 PM. The pattern of CBSE Class 12 Maths 2017 question paper was completely different from previous year questions paper.

**CBSE Class 12 Board Exam 2017: Maths Paper Analysis**

**Some randomly selected questions from CBSE Class 12th Maths Question Paper 2017:**

**Question:** If A is a 3 × 3 invertible matrix, then what will be the value of k if det(A^{–1}) = (det A)^{k}.

**Question:** If a line makes angles 90° and 60° respectively with the positive directions of x and y axes, find the angle which it makes with the positive direction of z-axis.

**Question:** Show that all the diagonal elements of a skew symmetric matrix are zero.

**Question:** The volume of a sphere is increasing at the rate of 3 cubic centimeter per second. Find the rate of increase of its surface area, when the radius is 2 cm.

**Question:** Prove that if E and F are independent events, then the events E and F' are also independent.

**Question:** A small firm manufactures necklaces and bracelets. The total number of necklaces and bracelets that it can handle per day is at most 24. It takes one hour to make a bracelet and half an hour to make a necklace. The maximum number of hours available per day is 16. If the profit on a necklace is Rs. 100 and that on a bracelet is Rs. 300. Formulate on L.P.P. for finding how many of each should be produced daily to maximize the profit?

It is being given that at least one of each must be produced.

**Question:**

If *x ^{m} y^{n}*

^{ }= (

*x*+

*y*)

^{m}^{+ n}, prove that d

^{2}

*y*/d

*x*

^{2}= 0.

**Question:**

Prove that *x*^{2} – *y*^{2} = c (*x*^{2} + *y*^{2})^{2} is the general solution of the differential equation (*x*^{3} – 3*xy*^{2}) d*x* = (*y*^{3 }– 3*x*^{2}*y*) d*y*, where C is a parameter.

**Question:**

Often it is taken that a truthful person commands, more respect in the society. A man is known to speak the truth 4 out of 5 times. He throws a die and reports that it is a six. Find the probability that it is actually a six. Do you also agree that the value of truthfulness leads to more respect in the society?

**Question: **If the sum of lengths of the hypotenuse and a side of a right angled triangle is given,** **show that the area of the triangle is maximum, when the angle between them is π/3

**Download CBSE Class CBSE Class 12th Maths Question Paper 2017 (Set 1, Delhi) in PDF format**