The point $(1,-3,4)$ lies in the octant

Important Questions on Three Dimensional Geometry

EASY

KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Three Dimensional Geometry>KCET (UG) 2020>Q 2

If a line makes an angle of $\frac{\pi }{3}$ with each of $x$ and $y$ -axis, then the acute angle made by $z$-axis is

EASY

KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Three Dimensional Geometry>KCET (UG) 2019>Q 3

$XY-$plane divides the line joining the points $A(2, 3, –5)$ and $B(–1, –2, –3)$ in the ratio

EASY

KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Three Dimensional Geometry>KCET (UG) 2021>Q 4

The mid-points of the sides of triangle are $\left(1, 5,-1\right), \left(0, 4,-2\right)$ and $\left(2,3,4\right)$, then centroid of the triangle is

EASY

KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Three Dimensional Geometry>KCET (UG) 2021>Q 5

The equation of the line joining the points $(\left(-3, 4, 11\right)$ and $(1, -2, 7)$ is

MEDIUM

KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Three Dimensional Geometry>KCET (UG) 2020>Q 6

The distance of the point $(1,2,-4)$ from the line $\frac{x-3}{2}=\frac{y-3}{3}=\frac{z+5}{6}$ is

MEDIUM

KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Three Dimensional Geometry>KCET (UG) 2019>Q 7

The distance of the point $(1,2,1)$ from the line $\frac{x-1}{2}=\frac{y-2}{1}=\frac{z-3}{2}$ is

MEDIUM

KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Three Dimensional Geometry>KCET (UG) 2018>Q 8

The image of the point $\left(1,6,3\right)$ in the line $\frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3}$ is

MEDIUM

KCET (UG)

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 21 - Three Dimensional Geometry>KCET (UG) 2020>Q 9

The two lines $lx+my=n$ and $l^{\text{'}}x\mathit{+}{m}^{\text{'}}y\mathit{=}{n}^{\text{'}}$ are perpendicular if