The equations of $x$-axis in canonical form are .

Important Questions on Straight Line in Three Dimensions

MEDIUM

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 24 - Straight Line in Three Dimensions>EXERCISE>Q 1

The equations of $y$-axis in canonical form are _____.

MEDIUM

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 24 - Straight Line in Three Dimensions>EXERCISE>Q 1

The equations of $z$-axis in canonical form are _____.

HARD

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 24 - Straight Line in Three Dimensions>EXERCISE>Q 1

The equation of $x$-axis is $\frac{x}{p}=\frac{y}{0}=\frac{z}{0}$, then value of $p$ is _____.

HARD

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 24 - Straight Line in Three Dimensions>EXERCISE>Q 1

The equation of $z$-axis is $\frac{x}{0}=\frac{y}{0}=\frac{z}{p}$, then the value of $p$ is _____.

MEDIUM

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 24 - Straight Line in Three Dimensions>EXERCISE>Q 1

If the sum of $\mathrm{d}.\mathrm{c}.\mathrm{s}.$ of the line through the points $(2, 5, 4)$ and $(1, 4, 3)$ is $-\sqrt{a}$, then the value of $a$ is _____

MEDIUM

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 24 - Straight Line in Three Dimensions>EXERCISE>Q 1

The $\mathrm{d}.\mathrm{c}.\mathrm{s}.$ of the line parallel to the line $\frac{x-5}{1}=\frac{y-3}{3}=\frac{z+1}{-3}$ are of the form of$\frac{a}{\sqrt{19}},\frac{b}{\sqrt{19}},\frac{c}{\sqrt{19}}$ then $a+b+c=$ _____.

HARD

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 24 - Straight Line in Three Dimensions>EXERCISE>Q 1

The angle between two straight lines with direction ratios $2, 1, 2$ and $4, 8, 1$ is ${\cos }^{-1}\left(\frac{2}{a}\right)$, $a=$_____.

EASY

12th West Bengal Board

IMPORTANT

RUDIMENTS of MATHEMATICS For Class 12 of +2 Level>Chapter 24 - Straight Line in Three Dimensions>EXERCISE>Q 1

The value of $k$ so that the straight lines $\frac{x}{-3}=\frac{y}{2k}=\frac{z}{2}$ and $\frac{x}{3k}=\frac{y}{1}=\frac{z}{-5}$ are perpendicular to each other is _____ .