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If P(–1, 1) is the midpoint of the line segment joining A(–3, b) and B(1, b + 4) then b = ?

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Question

If P(–1, 1) is the midpoint of the line segment joining A(–3, b) and B(1, b + 4) then b = ?

Options

  • 1

  • –1

  • 2

  • 0

MCQ
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Solution

–1

Explanation:

Midpoint y-coordinate gives `(b + (b + 4))/2 = 1`

⇒ `(2b + 4)/2 = 1`

⇒ b + 2 = 1

⇒ b = –1

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Chapter 6: Coordinate Geometry - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 349]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 6 Coordinate Geometry
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 23. | Page 349
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