JEE Maths PYQ Practice, chapter-wise

JEE Main 2013 (Offline)Question 456

Distance between two parallel planes $2x+y+2z=8$ and $4x+2y+4z+5=0$ is :

3D Geometry

$\frac32$$\frac52$$\frac72$$\frac92$

JEE Main 2015 (Offline)Question 457

The distance of the point $(1,0,2)$ from the point of intersection of the line $\frac{x-2}{3}=\frac{y+1}{4}=\frac{z-2}{12}$ and the plane $x-y+z=16$, is :

3D Geometry

$3\sqrt{21}$$13$$2\sqrt{14}$$8$

JEE Main 2013 (Online) 23rd AprilQuestion 458

If two lines $L_1$ and $L_2$ in space, are defined by $L_1=\left\{x=\sqrt\lambda\,y+\left(\sqrt\lambda-1\right),\ z=\left(\sqrt\lambda-1\right)y+\sqrt\lambda\right\}$ and $L_2=\left\{x=\sqrt\mu\,y+\left(1-\sqrt\mu\right),\ z=\left(1-\sqrt\mu\right)y+\sqrt\mu\right\}$, then $L_1$ is perpendicular to $L_2$, for all non-negative reals $\lambda$ and $\mu$, such that :

3D Geometry

$\sqrt\lambda+\sqrt\mu=1$$\lambda\ne\mu$$\lambda+\mu=0$$\lambda=\mu$

JEE Main 2019 (Online) 11th January Morning ShiftQuestion 459

The direction ratios of normal to the plane through the points $(0,-1,0)$ and $(0,0,1)$ and making an angle $\frac\pi4$ with the plane $y-z+5=0$ are: (i) $2,-1,1$ (ii) $2,\sqrt2,-\sqrt2$ (iii) $\sqrt2,1,-1$ (iv) $2\sqrt3,1,-1$

3D Geometry

(i) and (ii)(ii) and (iii)(iii) and (iv)all of (i), (ii), (iii), (iv)

JEE Main 2021 (Online) 20th July Evening ShiftQuestion 460

The lines $x=ay-1=z-2$ and $x=3y-2=bz-2$, $(ab eq0)$ are coplanar, if :

3D Geometry

$b=1,\ a\in\mathbf{R}-\{0\}$$a=1,\ b\in\mathbf{R}-\{0\}$$a=2,\ b=2$$a=2,\ b=3$