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KCET2014MathematicsVector Algebra

The area of the triangle formed by the lines joining the vertex of the parabola ( x²=12 y ) to the ends of Latus rectum is

Options

  1. A( 18 sq ). units
  2. B( 19 sq ). units
  3. C( 20 sq . ) units
  4. D( 17 sq . ) units

Correct answer

A. ( 18 sq ). units

Step-by-step solution

Given that, ²=12 y (1) General equation of parabola is ²=4 a y So, 4 a=12 a=3 So, area of triangle is 1 2 base height 1 4 (4|a|)(|a|)= 1 2 (12)(3)=6 3=18 sq. units

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