Test Index

NCERT Class XI Mathematics - Straight Lines - Solutions

© examsnet.com
Question : 60 of 74
Marks: +1, -0
Find the equation of a line drawn perpendicular to the line x4+y6\frac{x}{4}+\frac{y}{6} = 1 through the point, where it meets the y-axis.
Solution:  
We have, x4+y6\frac{x}{4}+\frac{y}{6} = 1 ... (i)
Now slope of (i) = −32-\frac{3}{2}
slope of any line perpendicular to line (i) meets the y-axis at (0, 6) is 23\frac{2}{3}.
∴ Equation of the line through (0, 6) and perpendicular to line (i) is
(y - 6) = 23\frac{2}{3} (x - 0) ⇒ 3y = - 18 = 2x ⇒ 2x - 3y + 18 = 0.
© examsnet.com
Go to Question: