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

MEDIUM

12th West Bengal Board

IMPORTANT

Earn 100

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

50% studentsanswered this correctly

Important Questions on Straight Line in Three Dimensions

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

d . c . 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

d . c . 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} (\frac{2}{a})

,

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}{2 k} = \frac{z}{2}

and

\frac{x}{3 k} = \frac{y}{1} = \frac{z}{- 5}

are perpendicular to each other is _____ .

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 equations of a straight line passing through $(1, 2, 3)$ and parallel to $x y$ -plane in cartesian form is _____.

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 equations of a straight line passing through $(1, 2, 3)$ and

parallel to $y z$ -plane are _____ .