Q$1.$ Given a side of square as $4$ units and bottom left vertex of the square is $(2,4)$ perform $45$ rotation about the origin $(0,0)$ and about the point $P(-1,-1).$

$(10$M$)$

Q$2.$ Show that the order in wihich transformations are performed is important, by transformation of triangle $A(1,0),B(0,1),C(1,1),$ by rotating $45$ about the erigin and then translating in the direction of vector I, and translating and then rotating.

$(10$M$)$

Q$3.$ A$(100,10),.$ Using Sutherland$-$Cohen dipping algorithm find the visible portion of the line segments EF$,$ GH and P$1$P$2.$ E$(50,0),$ F$(70,80),$ G$(120,20),$ H$(140,80),$ P$1(120,5).P2(180,30).$

$(10$M$)$

Q$4.$ How Ambient, Diffused and Specular reflection contributes to the resulting intensity of reflected ray of light? Give mathematical expression for the same.