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NCERT Class XI Mathematics - Straight Lines - Solutions

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Question : 38 of 74
Marks: +1, -0
Find the distance of the point (–1, 1) from the line 12 (x + 6) = 5(y – 2).
Solution:  
The equation of line is 12(x + 6) = 5(y – 2) ... (i)
⇒ 12x + 72 = 5y – 10 ⇒ 12x – 5y + 82 = 0
∴ Distance of the point (–1, 1) from the line (i)
= ∣12(−1)−5(1)+82∣(12)2+(−5)2\frac{\left| 12(-1)-5(1)+82 \right|}{\sqrt{(12)^2+(-5)^2}} = 6513\frac{65}{13} = 5 units.
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