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MHT CET2019Morning ShiftMathematicsStraight LinesActual

The acute angle between lines x - 3 = 0 and x + y = 19 is…

Options

  1. A60 o
  2. B30 o
  3. C90 o
  4. D45 o

Correct answer

D. 45 o

Step-by-step solution

Given line are x - 3 = 0 … i Slope of line (i), m 1 = ∞ ⇒ t a n θ 1 = ∞ ⇒ θ 1 = 90 o and x + y = 19 ⇒ y = - x + 19 … i i Slope of line (ii), m 2 = t a n θ 2 = - 1 ⇒ θ 2 = 135 o ∴ Acute angle between given lines is 45 o

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