Maths · JEE Advanced

JEE Advanced 2017 · Paper 1

201761 marks18 questions

3 of its 18 questions are here. The rest have a figure or are still being checked, so for now they're only in the official PDF.

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Source: JEE (Advanced) 2017, Paper 1, Maths, published by JEE (Advanced). The official PDF

3 questions

Q39Section Section 14 marks
$Let [x] be the greatest integer less than or equals to x. Then, at which of the following point(s) the function f(x) = x cos(π(x + [x])) is discontinuous?$
1. A $x = -1$
2. B $x = 0$
3. C $x = 1$
4. D $x = 2$
Q41Section Section 14 marks
$Which of the following is(are) NOT the square of a 3\times3 matrix with real entries?$
1. A $[1 0 0; 0 1 0; 0 0 1]$
2. B $[1 0 0; 0 1 0; 0 0 -1]$
3. C $[1 0 0; 0 -1 0; 0 0 -1]$
4. D $[-1 0 0; 0 -1 0; 0 0 -1]$
Q48Section Section 23 marks
$The sides of a right angled triangle are in arithmetic progression. If the triangle has area 24, then what is the length of its smallest side?$