Q195 / 270 · NDA 2021 (Phase 2) · Mathematics

The two ends of the latus rectum of a parabola are $(-2,4)$ and $(-2,-4)$ Consider the following statements in respect of such parabolas: 1. One of the parabolas passes through the origin $(0,0)$. 2. The focus of one of the parabolas lies at $(-2,0)$. Which of the above statements is/are correct?

  • A
    1 only
  • B
    2 only
  • Correct answer
    C
    Both 1 and 2
  • D
    Neither 1 nor 2

Solution

Both parabola have same focus $(-2,0)$ and one of the parabola has vertex $(0,0)$ and other has $(-4,0)$

Hence, the correct answer is option: 'C'.

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