What is the reflection of the point (-1, 3) in the line x = -4?

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SSC CGL Previous Paper 3 (Held On: 6 August 2017 Shift 1)
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  1. (-7, -3)
  2. (-7, 3)
  3. (7, -3)
  4. (7, 3)

Answer (Detailed Solution Below)

Option 2 : (-7, 3)
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PYST 1:SSC CGL 2023 - Quantitative Aptitude(Held On:14 Jul 2023 Shift 1)
25 Qs. 50 Marks 20 Mins

Detailed Solution

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Let the reflected point be (x, y).

Then the midpoint of (-1, 3) and (x, y) i.e. [(x-1)/2, (y+3)/2] must lie on the line x = -4.

⇒ (x – 1) / 2 = -4

⇒ x = -8 + 1 = -7

Since the line joining the original and the reflected point in perpendicular to x = -4, hence its slope will be equal to 0.

⇒ [y – 3]/[(-7) – (-1)] = 0

⇒ y – 3 = 0

⇒ y = 3

∴ The reflected point is (-7, 3).

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