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Yukti Vault

JEE Mathematics / Practice

3D Geometry

Chapter overview and full question list

Showing 141-145 of 461 questions.

JEE Main 2021 (Online) 18th March Morning ShiftQuestion 141
Let the plane $ax+by+cz+d=0$ bisect the line joining the points $(4,-3,1)$ and $(2,3,-5)$ at the right angles. If $a,b,c,d$ are integers, then the minimum value of $\left(a^{2}+b^{2}+c^{2}+d^{2}\right)$ is $\_\_\_\_\_\_$ .
3D Geometry
JEE Main 2022 (Online) 28th July Morning ShiftQuestion 142
The foot of the perpendicular from a point on the circle $x^2+y^2=1$, $z=0$ to the plane $2x+3y+z=6$ lies on which one of the following curves ?
3D Geometry
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JEE Main 2022 (Online) 29th July Morning ShiftQuestion 143
If the foot of the perpendicular from the point $A(-1,4,3)$ on the plane $P:2x+my+nz=4$, is $\left(-2,\frac72,\frac32\right)$, then the distance of the point $A$ from the plane $P$, measured parallel to a line with direction ratios $3,-1,-4$, is equal to :
3D Geometry
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JEE Main 2020 (Online) 8th January Morning ShiftQuestion 144
The shortest distance between the lines $\frac{x-3}{3}=\frac{y-8}{-1}=\frac{z-3}{1}$ and $\frac{x+3}{-3}=\frac{y+7}{2}=\frac{z-6}{4}$ is :
3D Geometry
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JEE Main 2021 (Online) 18th March Evening ShiftQuestion 145
Let the mirror image of the point $(1,3,a)$ with respect to the plane $\vec{r}\cdot\left(2\hat{i}-\hat{j}+\hat{k}\right)-b=0$ be $(-3,5,2)$. Then, the value of $|a+b|$ is equal to $\_\_\_\_\_\_$ .
3D Geometry