JEE Maths PYQ Practice, chapter-wise

JEE Main 2023 (Online) 30th January Morning ShiftQuestion 7476

Let $A=\begin{bmatrix}m&n\\p&q\end{bmatrix}$, $d=|A|\ne0$ and $|A-d(\operatorname{Adj}A)|=0$. Then

Matrices

$(1+d)^2=(m+q)^2$$1+d^2=(m+q)^2$$(1+d)^2=m^2+q^2$$1+d^2=m^2+q^2$

JEE Main 2021 (Online) 1st September Evening ShiftQuestion 7477

Let $[t]$ denote the greatest integer $\le t$. The number of points where the function $f(x)=[x]\left|x^2-1\right|+\sin\left(\frac{\pi}{[x]+3}\right)-[x+1]$, $x\in(-2,2)$ is not continuous is ______.

Limits & Continuity

Your answer

JEE Main 2019 (Online) 8th April Evening ShiftQuestion 7478

Let $f(x)=\int_0^x g(t)\,dt$, where $g$ is a non-zero even function. If $f(x+5)=g(x)$, then $\int_0^x f(t)\,dt$ equals

Definite Integration

$\int_5^{x+5}g(t)\,dt$$\int_{x+5}^{5}g(t)\,dt$$5\int_{x+5}^{5}g(t)\,dt$$2\int_5^{x+5}g(t)\,dt$

JEE Main 2023 (Online) 30th January Morning ShiftQuestion 7479

If $[t]$ denotes the greatest integer $\le t$, then the value of $\frac{3(e-1)}{e}\int_1^2x^2e^{[x]+[x^3]}\,dx$ is :

Definite Integration

$e^9-e$$e^8-e$$e^7-1$$e^8-1$

JEE Main 2019 (Online) 10th January Morning ShiftQuestion 7480

The sum of all two digit positive numbers which when divided by $7$ yield $2$ or $5$ as remainder is

Sequence and Series · Arithmetic Progression

$1356$$1365$$1256$$1465$

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