NCERT Class XI Mathematics - Straight Lines - Solutions

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Question : 29
Total: 74
The perpendicular from the origin to a line meets it at the point (–2, 9) , find the equation of the line.
Solution:  
Let OP ⊥ PN
Slope of OP =
90
20
=
9
2

∴ Slope of PN =
2
9


The equation of line is (y − 9) =
2
9
(x + 2)
⇒ 9y – 81 = 2x + 4 ⇒ 2x – 9y + 85 = 0
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