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CBSE Class 12 Math 2019 All India Set 1 Solved Paper

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Question : 4
Total: 29
If a line has the direction ratios −18,12,−4, then what are its direction cosines?
OR
Find the cartesian equation of the line which passes through the point (−2,4,−5) and is parallel to the line ‌
x+3
3
=‌
4−y
5
=‌
z+8
6
.
Solution:  
Direction ratios of a line are −18,12,−4
Direction cosines of line are −‌
18
√182+122+42
,‌
12
√182+122+42
,−‌
4
√182+122+42

Hence, direction cosines of line are −‌
9
11
,‌
6
11
,−‌
2
11
.
OR
The cartesian equation of the line which passes through the point (−2,4,−5) and is parallel to the line ‌
x+3
3
=‌
y−4
−5
=‌
z+8
6
 is ‌
x+2
3
=‌
y−4
−5
=‌
z+5
6
.
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