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Most Important Selected Qs for JEE AdvancedMathematicsStraight Lines

A light beam emanating from the point A(3,10) reflects from the straight line 2 x+y-6=0 and then passes through the point B(4,3) . The equation of the reflected beam is x+3 y- =0 , then find the value of .

Correct answer

13

Step-by-step solution

Image of A(3,10) in 2 x+y-6=0 aligned & x-3 2 = y-10 1 =-2 ( 6+10-6 2^2+1^2 ) & x-3 2 = y-10 1 =-4 & A^ =(-5,6) aligned Equation of A^ B is y-3= ( 6-3 -5-4 )(x-4) aligned & y-3=- 1 3 (x-4) & 3 y-9=-x+4 & x+3 y-13=0 aligned

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