A line l passing through the origin makes an angle θ with positive direction of x axis such that \sin \\theta= 3 /5 . The coordinates of the point, which lies in the fourth quadrant at a unit distance from the origin and on perpendicular to l , are

NTSE Stage 2 SAT 2017 Question Paper

Question : 56 of 100

Marks: +1, -0

A line l passing through the origin makes an angle θ with positive direction of x axis such that

\sin \θ= 3 /5

. The coordinates of the point, which lies in the fourth quadrant at a unit distance from the origin and on perpendicular to l , are

Solution:

Given

\sin \θ=3/5

\cos \θ=4/5

Now,

\sin (90-\θ)=\y/1

⇒

\y=\cos \θ

\cos(90-\θ)=\x/1

⇒

\x=\sin\θ\;\;\;\;\;\;\x=3/5

Hence, option (1) is correct.

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