MHT CET · Maths · Straight Lines
The line MN whose equation is \(x-y-2=0\) cuts the X-axis at M and co-ordinates of N are \((4,2)\). The line MN is rotated about M through \(45^{\circ}\) in anticlockwise direction. The equation of the line MN in the new position is
- A \(\mathrm{y}=-\sqrt{2}\)
- B \(\mathrm{y}=2\)
- C \(x=-2\)
- D \(x=2\)
Answer & Solution
Correct Answer
(D) \(x=2\)
Step-by-step Solution
Detailed explanation
M is on X-axis: \(y=0 \Rightarrow x-0-2=0 \Rightarrow M=(2,0)\). Slope of MN: \(y=x-2 \Rightarrow m_{MN}=1\).
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