Home
Class 11
MATHS
The line PQ whose equation is x-y=2 cuts...

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

A

`y= -sqrt2`

B

y=2

C

x= 2

D

x= -2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Suppose that the line x - 2y + 3 = 0 is rotated through a right angle about its point intersection with the line 3x + y + 2 = 0 Find the slope of the line in the new position

Suppose a line cuts off intercept 4 on the x-axis and the line makes angle 60^@ with the positive direction of the x-axis. Find the slope of the line. Hence find the equation of the line.

Find the distance between P (x_1,y_1) and Q (x_2,y_2) when PQ is parallel to the X-axis.

Find the distance between P (x_1,y_1) and Q (x_2,y_2) when PQ is parallel to the y-axis.

Find the equation of the line intersecting the y-axis at a distance of 2 units above the origin and making an angle of 30^@ with the positive direction of the x-axis.