Equation of a line after rotating it about a point on it
This type of question, asked 2 times: May 2021 S1, 26 Apr 2025 S1. All 3 questions below, oldest first.
Try each one first, then open its answer.
Question 1
May 2021 S1
135If the line joining two points and is rotated about in anticlockwise direction through an angle of , then the equation of the line in the new position isTap an option to check your answer.
Question 2
May 2021 S1
106A line through the point which makes an angle of with the positive direction of X-axis is rotated about in clockwise direction through an angle of . Then, the equation of the straight line in the new position isTap an option to check your answer.
Question 3
26 Apr 2025 S1
104The line MN whose equation is cuts the X -axis at M and co-ordinates of N are (4, 2). The line MN is rotated about M through in anticlockwise direction. The equation of the line MN in the new position isTap an option to check your answer.