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Consider a triangle A(0,0), B(1, 1) and C(5, 2). The triangle has to be rotated by an angle of 45$^o$ about the point P(-1, -1). What shall be the coordinates of new triangle?

1. $A' = (1, \sqrt{2}-1), B'(-1, 2\sqrt{2}-1) \text{ and } C'=\bigl(3 \sqrt{2} -1, \frac{9}{2} \sqrt{2}-1 \bigr)$
2. $A' = (1, \sqrt{2}-1), B'(2\sqrt{2}-1, -1) \text{ and } C'=\bigl(3 \sqrt{2} -1, \frac{9}{2} \sqrt{2}-1 \bigr)$
3. $A' = (-1, \sqrt{2}-1), B'(-1, 2\sqrt{2}-1) \text{ and } C'=\bigl(3 \sqrt{2} -1, \frac{9}{2} \sqrt{2}-1 \bigr)$
4. $A' = (\sqrt{2}-1,-1) B'(-1, 2\sqrt{2}-1) \text{ and } C'=\bigl(3 \sqrt{2} -1, \frac{9}{2} \sqrt{2}-1 \bigr)$

ans is C with some correction C' should be (3√2/2-1,9√2/2-1)

From which subject this question is? From where to practie such questions? Please tell the book name or online resource.
subject :-,computer graphics (not meant for GATE exam though)

prefered book : schaum series
How do we know if this is clockwise or anticlockwise? and please share the resource from where you spotted this question and answer.
By default it is anticlockwise.  book is schaum series