A straight line ( 3 - 1)x = ( 3 + 1)y makes an angle 75^o with an… - Vidyadip

MCQ

A straight line $(\sqrt 3 - 1)x = (\sqrt 3 + 1)y$ makes an angle ${75^o}$with another straight line which passes through origin. Then the equation of the line is

✓
$x = 0$
B
$y = 0$
C
$x + y = 0$
D
$x - y = 0$

✓

Answer

Correct option: A.

$x = 0$

a
(a)We know that $\frac{{\sqrt 3 + 1}}{{\sqrt 3 - 1}} = \tan {75^o}$
Hence the line makes an angle of ${75^o}$with y- axis, so the equation of y-axis is $x = 0$.

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