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99 Percentile Qs Bank for JEE MainMathematicsStraight Lines

A line 4 x + y = 1 passes thought the point A 2 , - 7 and meets the line B C at B whose equation is 3 x - 4 y + 1 = 0 . If the equation of line A C such that A B = A C is x a + y b = 1 , then the value of a is equal to

Options

  1. A− 519 52
  2. B519 52
  3. C- 519 89
  4. D519 89

Correct answer

A. − 519 52

Step-by-step solution

tan ⁡ θ = m 1 - m 2 1 + m 1 m 2 = - 4 - 3 4 1 - 3 = 19 8 19 8 = m - 3 4 1 + 3 m 4 m = - 4 o r - 52 89 Equation A C is 52 x + 89 y + 519 = 0 ⇒ a = - 519 52

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