JEE Maths PYQ Practice, chapter-wise

AIEEE 2002 (Offline)Question 5486

The number of solutions of $\tan x+\sec x=2\cos x$ in $[0,2\pi]$ is

Trigonometric Ratio & Identities

$2$$3$$0$$1$

AIEEE 2009 (Offline)Question 5487

Let $A$ be a $2\times2$ matrix. Statement - 1 : $\operatorname{adj}(\operatorname{adj}A)=A$. Statement - 2 : $|\operatorname{adj}A|=|A|$.

Matrices

Statement - 1 is true, Statement - 2 is true; Statement - 2 is not a correct explanation for Statement - 1Statement - 1 is true, Statement - 2 is falseStatement - 1 is false, Statement - 2 is trueStatement - 1 is true, Statement - 2 is true; Statement - 2 is a correct explanation for Statement - 1

JEE Main 2013 (Online) 22nd AprilQuestion 5488

The integral $\int_{7\pi/4}^{7\pi/3}\sqrt{\tan^{2}x}\,dx$ is equal to :

Definite Integration

$\log2\sqrt2$$\log2$$2\log2$$\log\sqrt2$

JEE Main 2013 (Online) 22nd AprilQuestion 5489

The number of solutions of the equation, $\sin^{-1}x=2\tan^{-1}x$ (in principal values) is :

Inverse Trigonometric Functions

$1$$4$$2$$3$

JEE Main 2013 (Online) 23rd AprilQuestion 5490

Let $R=\{(x,y):x,y\in N$ and $x^{2}-4xy+3y^{2}=0\}$, where $N$ is the set of all natural numbers. Then the relation $R$ is :

Sets, Relations and Function

reflexive but neither symmetric nor transitive.symmetric and transitive.reflexive and symmetric,reflexive and transitive.

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