NCERT Class XI Mathematics - Straight Lines - Solutions

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Question : 22
Total: 74
Perpendicular distance from the origin is 5 units and the angle made by the perpendicular with the positive x-axis is 30°.
Solution:  

Here, we are given that p = 5 and ω = 30°.
cos 30° =
3
2
and sin 30° =
1
2

By normal form, equation of the line is
x cos ω + y sin ω = p
3
2
x
+
1
2
y
= 5 ⇒ 3x+y = 10
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