MCQ practice · SSC Higher Mathematics Board questions · Chapter 11: Coordinate Geometry
What is the distance between the origin and P?
Think it through first, then pick an option.
- a 1 unit
- b √3 units
- c 2 units
- d √5 units
Answer and explanation
Correct answer: d √5 units
The distance of P(−2, 1) from the origin is √((−2)² + 1²) = √5 units.
Why the other options are wrong
- a 1 unit: The distance of P(−2, 1) from the origin is √((−2)² + 1²) = √5 units. So 1 unit is not the answer.
- b √3 units: The distance of P(−2, 1) from the origin is √((−2)² + 1²) = √5 units. So √3 units is not the answer.
- c 2 units: 2 is only the absolute abscissa; the square of the ordinate, 1, must be added: √(4 + 1) = √5.
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