Numerical / Calculation-Based

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1.
The image of the point (4, -3) in the line 2x - y + 1 = 0 is:
2.
The image of (3, 1) in the line x + y - 2 = 0 is:
3.
The locus of the point of intersection of the lines x/a + y/b = t and x/a - y/b = 1/t, as t varies, is:
4.
The angle of rotation needed to eliminate the xy-term from x^2 + xy + y^2 = 1 is:
5.
The locus of a point P such that PA^2+PB^2 = 2*PC^2, where A=(1,0), B=(-1,0), C=(0,1), is:

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