JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

1 Easy

1 of 1

Analyzing +4 | -1

If the equation of the pair of straight lines passing through the point

(1,1)

, one making an angle

\theta

with the positive direction of the

X

-axis and the other making the same angle with the positive direction of the

Y

-axis, is

x^2-(a+2) x y+y^2+a(x+y-1)=0, a \neq-2

, then the value of

\sin 2 \theta

View answer and explanation

Correct option: C

\frac{2}{(a+2)}

Option C (

\frac{{2}}{{(a + 2)}}

) is correct because comparing the given equation with the joint equation of the lines leads to the relation

\sin 2\theta = \frac{{2}}{{(a + 2)}}

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