Question

# The line $$PQ$$ whose equation is $$x- y = 2$$ cuts the $$x-$$axis at $$P$$ and $$Q$$ and passes through$$(4,2)$$. The line $$PQ$$ is rotated about $$P$$ through $$45^o$$ in the anticlockwise direction. The equation of the line $$PQ$$ in the new position is

A
y=2
B
y=2
C
x=2
D
x=2

Solution

## The correct option is C $$x=2$$$$m_{PQ}=\dfrac {2-0}{4-2}=1$$Now, PQ is rotated through $$45^o$$ about P in anticlockwise direction$$\therefore$$ slope of PQ becomes infinity.$$\therefore$$ Equation of PQ in new position is $$x = 2$$Mathematics

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