EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 24 - Line in 3D>MHT-CET 2020 (12-Oct Shift-1)>Q 3

EASY

MHT-CET

IMPORTANT

Earn 100

The parametric equations of the line passing through $A (3, 4, - 7), B (1, - 1, 6)$ are $(λ \in R)$

30.77% studentsanswered this correctly

Important Questions on Line in 3D

MEDIUM

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 24 - Line in 3D>MHT-CET 2019>Q 4

If line

\frac{x - 1}{2} = \frac{y + 1}{3} = \frac{z - 1}{4}

and

\frac{x - 3}{1} = \frac{y - λ}{2} = \frac{z}{1}

intersect each other, then

λ = . \dots .

MEDIUM

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 24 - Line in 3D>MHT-CET 2017>Q 5

The equation of line equally inclined to co-ordinate axes and passing through

(- 3, 2, - 5)

is

HARD

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 24 - Line in 3D>MHT-CET 2017>Q 6

The lines

\frac{x - 1}{2} = \frac{y + 1}{2} = \frac{z - 1}{4}

and

\frac{x - 3}{1} = \frac{y - 6}{2} = \frac{z}{1}

intersect each other at point

HARD

MHT-CET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 24 - Line in 3D>MHT-CET 2020 (13-Oct Shift 1)>Q 7

The shortest distance between the lines

\vec{r} = (1 - t) \hat{i} + (t - 2) \hat{j} + (3 - 2 t) \hat{k}

and

\vec{r} = (p + 1) \hat{i} + (2 p - 1) \hat{ȷ} + (2 p + 1) \hat{k}

is