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What is the area of the triangle formed by the lines joining the vertex of the parabola x²=12 y to the ends of the latus rectum?

Options

  1. A9 square units
  2. B12 square units
  3. C14 square units
  4. D18 square units

Correct answer

D. 18 square units

Step-by-step solution

Given parabola is x ²=12 y which is of the form x ²=4 a y . 4 a=12 a=3 Now, L M is the latus rectum whose length =4 a=4 3 =12 So, area of L M V= 1 2 L M V F . = ( 1 2 12 3 ) sq. unit =18 square unit

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