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Straight Lines and Pair of Straight Lines question

2025 · 8 Apr · Shift 2 · Q30

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Straight Lines and Pair of Straight Lines
2025 · 8 Apr · Shift 2 · Q30

Straight Lines and Pair of Straight Lines question

2025 · 8 Apr · Shift 2 · Q30

JEE MainMathematicsStraight Lines and Pair of Straight LinesMCQ+4 / −1

A line passing through the point P(

a

, 0) makes an acute angle

\alpha

with the positive x-axis. Let this line be rotated about the point P through an angle

\frac{\alpha}{2}

in the clockwise direction. If in the new position, the slope of the line is

2 - \sqrt{3}

and its distance from the origin is

\frac{1}{\sqrt{2}}

, then the value of

3a^2 \tan^2 \alpha - 2\sqrt{3}

is :

A
8
B
4
C
5
D
6

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