Question

A carom board is a square board with a symmetrical design as shown in the diagram below.
E,F,G, and H are the midpoints of AD,BA,CB, and DC respectively. Anand wants to pocket his last coin which is at E. Taking the laws of reflection to be applicable, he strikes from the point M, so that the striker reflects at F, then at G, then at H and finally hits the coin at E. Choosing D to be the origin (right direction is +veX−axis and upward direction is +ve Y−axis), choose the correct options.
a)M does not lie on the line segment EF
b)The coordinate of point M is (−60,10)
c)The coordinate of point M is (−40,10)
d)The slope of MF is −1
e)FG and GHare perpendicular line segments
f)Equation of GH will be y+x=150
g)Segment HE intersects the inner square at (−10,40)

Answer 1

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