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JEE Main20248 Apr 2024Evening ShiftMathematicsStraight LinesActual

If the line segment joining the points (5,2) and (2, a) subtends an angle 4 at the origin, then the absolute value of the product of all possible values of a is :

Options

A6
B8
C2
D-4

Correct answer

D. -4

Step-by-step solution

aligned & m _ OA = 2 5 & ~m _ OB = a 2 aligned aligned & 4 = | 2 5 - a 2 | & 1= | 4-5 a 10+2 a | aligned

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