Question number 6 and 11.. 

6. Let a given line L1  intersect the x and y-axes at P and Q respectively. Let another line L2 perpendicular to L1 , cut the x and y-axes
at R and S, respectively. Show that the locus of the point of intersection of the lines PS and QR is a circle passing through the origin. 

11. Let ABC be a triangle with AB = AC. If D be the mid point of BC, the foot of the perpendicular drawn from D to AC and F
the mid point of DE, prove that AF is perpendicular to BE. 

Dear student
Que 6


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