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Dear ffggfg hkjj,
I guess the above figure is what is meant by the question, We will apply the laws of reflection at the strike points of the ball. So the angle at which the ball is reflected after the first strike is equal to angle at which it had striked i.e A .
slopes:
PM : tan(90-A) = 3/x-3 or cot A = 3/x-3 -----------------------1
PQ: tan(-(90-A)) = y-7/10-x or -Cot A = y-7/10-x-------------------2
QN: tan(90-A) = y-1/3 or cot A = y-1/3----------------------------3
divide 1 by 2 and 1 by 3
we get
10x-30 = xy-3y +21
x+ 9 = xy-3y +3
solving we get
x= 19/3 and y = 37/10
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