Releted Question 2
The point (4, 1) undergoes the following three transformations successively.
(i) Reflection about the line $$y =x.$$
(ii) Translation through a distance 2 units along the positive direction of $$x$$-axis.
(iii) Rotation through an angle $$\frac{p}{4}$$ about the origin in the counter clockwise direction.
Then the final position of the point is given by the coordinates.
A.
$$\left( {\frac{1}{{\sqrt 2 }},\,\frac{7}{{\sqrt 2 }}} \right)$$
B.
$$\left( { - \sqrt 2 ,\,7\sqrt 2 } \right)$$
C.
$$\left( { - \frac{1}{{\sqrt 2 }},\,\frac{7}{{\sqrt 2 }}} \right)$$
D.
$$\left( {\sqrt 2 ,\,7\sqrt 2 } \right)$$
Releted Question 4
If $$P = \left( {1,\,0} \right),\,Q = \left( { - 1,\,0} \right)$$ and $$R = \left( {2,\,0} \right)$$ are three given points, then locus of the point $$S$$ satisfying the relation $$S{Q^2} + S{R^2} = 2S{P^2},$$ is-
A.
a straight line parallel to $$x$$-axis
B.
a circle passing through the origin
C.
a circle with the centre at the origin
D.
a straight line parallel to $$y$$-axis