JEE Main 2022 · 29 Jun · Shift 1 · Mathematics Q13

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MathematicsSingle correct+4 / -1Question 13 of 90

The distance between the two points A and A' which lie on $y=2$ such that both the line segments AB and A'B (where B is the point $(2,3)$ ) subtend angle $\dfrac\pi4$ at the origin, is equal to :

\dfrac{48}5

\dfrac{52}5

Answer and worked solution

Official answer: C

Directions. OB has $\tan\theta=\frac32$ . Rotating by $\pm\frac\pi4$ : $\tan=-5$ or $\frac15$ .

Points on $y=2$ . $x=-\frac25$ and $x=10$ ; distance $\frac{52}5$ .

(C)

Topics:Angle between lines Trigonometric ratios and identities

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JEE Main 2022 · 29 Jun · Shift 1, Mathematics question 13