JEE Maths PYQ Practice, chapter-wise

JEE Main 2026 (Online) 21st January Evening ShiftQuestion 371

Let the line $L$ pass through the point $(-3,5,2)$ and make equal angles with the positive coordinate axes. If the distance of $L$ from the point $(-2,r,1)$ is $\sqrt{\frac{14}{3}}$, then the sum of all possible values of $r$ is :

3D Geometry

$6$$10$$12$$16$

JEE Main 2026 (Online) 21st January Evening ShiftQuestion 372

Let the line $L_1$ be parallel to the vector $-3\hat i+2\hat j+4\hat k$ and pass through the point $(2,6,7)$, and the line $L_2$ be parallel to the vector $2\hat i+\hat j+3\hat k$ and pass through the point $(4,3,5)$. If the line $L_3$ is parallel to the vector $-3\hat i+5\hat j+16\hat k$ and intersects the lines $L_1$ and $L_2$ at the points $C$ and $D$, respectively, then $|\overrightarrow{CD}|^2$ is equal to :

3D Geometry

$312$$290$$171$$89$

JEE Main 2026 (Online) 23rd January Morning ShiftQuestion 373

Let the direction cosines of two lines satisfy the equations : $4l+m-n=0$ and $2mn+10nl+3lm=0$. Then the cosine of the acute angle between these lines is :

3D Geometry

$\frac{10}{3\sqrt{38}}$$\frac{10}{7\sqrt{38}}$$\frac{10}{\sqrt{38}}$$\frac{20}{3\sqrt{38}}$

JEE Main 2026 (Online) 24th January Evening ShiftQuestion 374

The sum of all values of $\alpha$, for which the shortest distance between the lines $\frac{x+1}{\alpha}=\frac{y-2}{-1}=\frac{z-4}{-\alpha}$ and $\frac{x}{\alpha}=\frac{y-1}{2}=\frac{z-1}{2\alpha}$, is $\sqrt2$, is :

3D Geometry

$-8$$6$$-6$$8$

JEE Main 2026 (Online) 28th January Evening ShiftQuestion 375

Let $Q(a,b,c)$ be the image of the point $P(3,2,1)$ in the line $\frac{x-1}{1}=\frac y2=\frac{z-1}{1}$. Then the distance of $Q$ from the line $\frac{x-9}{3}=\frac{y-9}{2}=\frac{z-5}{-2}$ is :

3D Geometry

$8$$7$$6$$5$