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Yukti Vault

JEE Mathematics / Practice

3D Geometry

Chapter overview and full question list

Showing 376-380 of 461 questions.

JEE Main 2026 (Online) 28th January Morning ShiftQuestion 376
If the distances of the point $(1,2,a)$ from the line $\frac{x-1}{1}=\frac y2=\frac{z-1}{1}$ along the lines $L_1:\frac{x-1}{3}=\frac{y-2}{4}=\frac{z-a}{b}$ and $L_2:\frac{x-1}{1}=\frac{y-2}{4}=\frac{z-a}{c}$ are equal, then $a+b+c$ is equal to :
3D Geometry
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JEE Advanced 2007 Paper 2Question 377
Consider the planes $3x-6y-2z=15$ and $2x+y-2z=5$. STATEMENT-1: The parametric equations of the line of intersection of the given planes are $x=3+14t$, $y=1+2t$, $z=15t$. because STATEMENT-2: The vector $14\hat i+2\hat j+15\hat k$ is parallel to the line of intersection of given planes.
3D Geometry
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JEE Advanced 2008 Paper 1Question 378
Consider three planes $P_1: x-y+z=1$ $P_2: x+y-z=-1$ $P_3: x-3y+3z=2$. Let $L_1,L_2,L_3$ be the lines of intersection of the planes $P_2$ and $P_3$, $P_3$ and $P_1$, and $P_1$ and $P_2$, respectively. STATEMENT-1: At least two of the lines $L_1$, $L_2$ and $L_3$ are non-parallel. and STATEMENT-2: The three planes do not have a common point.
3D Geometry
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JEE Advanced 2009 Paper 1Question 379
Let $P(3,2,6)$ be a point in space and $Q$ be a point on the line $$\vec r=(\hat i-\hat j+2\hat k)+\mu(-3\hat i+\hat j+5\hat k).$$ Then the value of $\mu$ for which the vector $\overrightarrow{PQ}$ is parallel to the plane $x-4y+3z=1$ is
3D Geometry
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JEE Advanced 2014 Paper 1Question 380
From a point $P(\lambda,\lambda,\lambda)$, perpendiculars $PQ$ and $PR$ are drawn respectively on the lines $y=x,\ z=1$ and $y=-x,\ z=-1$. If $P$ is such that $\angle QPR$ is a right angle, then the possible value(s) of $\lambda$ is(are)
3D Geometry
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