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NTA Abhyas JEE Main2020MathematicsStraight LinesPractice

Let the equations of side B C and the internal angle bisector of angle B of Δ A B C are 2 x - 5 y + a = 0 and y + x = 0 respectively. If A = 2,3 , then the value of a is equal to

Options

  1. A4
  2. B2
  3. C– 2
  4. D– 4

Correct answer

D. – 4

Step-by-step solution

Reflection of A 2,3 about line y + x = 0 is A ' - 3 , - 2 which lies on side B C ⇒ 2 - 3 - 5 - 2 + a = 0 ⇒ a = - 4

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