MATHEMATICS CLASS XII VOLUME-2>Chapter 9 - Straight Line in Space>EXERCISE>Q 10

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12th CBSE

IMPORTANT

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Find the angle between the pairs of lines with direction ratios proportional to $5, - 12, 13$ and $- 3, 4, 5$

Important Questions on Straight Line in Space

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 9 - Straight Line in Space>EXERCISE>Q 10

Find the angle between the pairs of lines with direction ratios proportional to

2, 2, 1

and

4, 1, 8

.

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 9 - Straight Line in Space>EXERCISE>Q 10

Find the angle between the pairs of lines with direction ratios proportional to

1, 2, - 2

and

- 2, 2, 1 .

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 9 - Straight Line in Space>EXERCISE>Q 10

Find the angle between the pairs of lines with direction ratios proportional to $a, b, c$ and $b - c, c - a, a - b .$

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12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 9 - Straight Line in Space>EXERCISE>Q 11

Find the angle between two lines, one of which has direction ratios

2, 2, 1

while the other one is obtained by joining the points

(3, 1, 4)

and

(7, 2, 12) .

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 9 - Straight Line in Space>EXERCISE>Q 12

Find the equation of the line passing through the point

(1, 2, - 4)

and parallel to the line

\frac{x - 3}{4} = \frac{y - 5}{2} = \frac{z + 1}{3} .

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 9 - Straight Line in Space>EXERCISE>Q 13

Find the equations of the line passing through the point

(- 1, 2, 1)

and parallel to the line

\frac{2 x - 1}{4} = \frac{3 y + 5}{2} = \frac{2 - z}{3}

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 9 - Straight Line in Space>EXERCISE>Q 14

Find the equation of the line passing through the point

(2, - 1, 3)

and parallel to the line

\vec{r} = (\hat{i} - 2 \hat{j} + \hat{k}) + λ (2 \hat{i} + 3 \hat{j} - 5 \hat{k}) .

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-2>Chapter 9 - Straight Line in Space>EXERCISE>Q 15

Find the equations of the line passing through the point

(2, 1, 3)

and perpendicular to the lines

\frac{x - 1}{1} = \frac{y - 2}{2} = \frac{z - 3}{3} and \frac{x}{- 3} = \frac{y}{2} = \frac{z}{5}