Question

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 π/4 at the origin, is equal to

• A. 10
• B. $\frac{48}{5}$
• C. $\frac{52}{5}$
• D. 3

Answer 1

Answer: (C)

$\frac{52}{5}$

Answer 2

The correct option is(C): $\frac{52}{5}$

4 – 3α = 2α + 6 & 4 – 3α = -2α – 6

$x_1=10$ $x_2=\frac{2}{5}$

$AA'=\frac{52}{5}$