The Indian Institute of Technology (IIT)– Kanpur is all set to conduct the Joint Engineering Examination (JEE) Advanced 2018 on 20th May 2018. To understand the difficulty level of JEE Advanced 2018 examination all aspirants need JEE Advanced 2017 question paper with detailed solution. In JEE Advanced 2017, there were 2 papers of 3 hours each. Each paper has three parts: Physics, Chemistry and Mathematics. Each part has 18 questions, distributed over three sections. So, in total the question paper consists of 54 questions. In this article, we bring to you the solution of JEE Advanced 2017 Mathematics Paper-1 which will help all students who are preparing for JEE Examination 2018. The solutions given here are explained in a very detailed manner.
There are three sections in the paper as below:
Section I consists of multiple correct answers type questions.
Section II consists of Integer type questions and
Section III consists of matching type questions.
Q. Which of the following is(are) not the square of a 3 × 3 matrix with real entries?
Sol. If the determinant of a matrix is positive then it can be represented as square of a matrix.
The determinant value of matrix in option (B) & (D) are positive but the determinant value of matrix in option (A) & (C) are negative.
Therefore, (B) & (D) can be represented as square of a matrix but (A) & (C) can’t.
Hence, the correct options are (A) and (C).
Q. If a chord, which is not a tangent, of the parabola y2 = 16x has the equation 2x + y = p, and midpoint (h, k), then which of the following is(are) possible value(s) of p, h and k ?
(A) p = 2, h = 3, k = –4
(B) p = 5, h = 4, k = –3
(C) p = –1, h = 1, k = –3
(D) p = –2, h = 2, k = –4
Q. The sides of a right angled triangle are in arithmetic progression. If the triangle has area 24, then what is the length of its smallest side?