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NTA Abhyas JEE Main2020MathematicsStraight LinesPractice

Let the circumcentre of ∆ A B C is S - 1 , 0 and the midpoints of the sides A B and A C are E 1 , - 2 and F - 2 , - 1 respectively, then the coordinates of A are

Options

  1. A0 , - 3
  2. B0 , 3
  3. C- 3 , 0
  4. D3 , 0

Correct answer

B. 0 , 3

Step-by-step solution

Slope of S F is 1 ⇒ Slope of A B is 1 Now, the slope of E S is - 1 ⇒ Slope of A C is - 1 Equation of A B is x + y + 3 = 0 Equation of A C is x - y - 3 = 0 Hence, point A is 0 , 3

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