Equation of a line from the perpendicular distance from the origin and its direction (normal form)
This type of question, asked 4 times: 10 May 2023 S2, 9 May 2024 S2, 20 Apr 2026 S1, 20 Apr 2026 S2. All 4 questions below, oldest first.
Try each one first, then open its answer.
Question 1
10 May 2023 S2
139If the length of the perpendicular to a line from the origin is units, which makes an angle of with the X-axis, then the equation of line isTap an option to check your answer.
Question 2
9 May 2024 S2
105The equation of a line, whose perpendicular distance from the origin is 7 units and the angle which the perpendicular to the line from the origin makes is with positive X-axis, isTap an option to check your answer.
Question 3
20 Apr 2026 S1
58The area of a triangle formed by a line with the coordinate axes is sq. units. If the perpendicular drawn from the origin to this line makes an angle of with the positive X-axis, then the equation of line is....Tap an option to check your answer.
Question 4
20 Apr 2026 S2
55A straight line makes equal negative intercepts on the coordinate axes. If the perpendicular distance from the origin to the line is 4 units, then the equation of the line is ......Tap an option to check your answer.