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MHT CET · Maths · Straight Lines

The straight line passing through \((-3,6)\) and midpoint of the line segment joining the points \((4,-5)\) and \((-2,9)\) have inclination

  1. A \(\frac{\pi}{4}\)
  2. B \(\frac{\pi}{6}\)
  3. C \(\frac{\pi}{3}\)
  4. D \(\frac{3 \pi}{4}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{3 \pi}{4}\)

Step-by-step Solution

Detailed explanation

Midpoint: \( \left(\frac{4+(-2)}{2}, \frac{-5+9}{2}\right) = (1, 2) \) Slope \( m = \frac{2-6}{1-(-3)} = \frac{-4}{4} = -1 \)