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Question: A ray of light is sent along the line which passes through point (2, 3). The ray is reflected from p...

A ray of light is sent along the line which passes through point (2, 3). The ray is reflected from point P on x-axis. If reflected ray passes through the point (6, 5) then coordinates of P are –

A

(72,0)\left( - \frac { 7 } { 2 } , 0 \right)

B

(72,0)\left( \frac { 7 } { 2 } , 0 \right)

C

(0,72)\left( 0 , \frac { 7 } { 2 } \right)

D

None of these

Answer

(72,0)\left( \frac { 7 } { 2 } , 0 \right)

Explanation

Solution

The angle between the line joining the points

(1, –2), (3, 2) and the line x + 2y – 7 = 0, is