JEE Advanced · Mathematics · 9. Straight Lines
Paragraph:
Let \(F_{1}\left(x_{1}, 0\right)\) and \(F_{2}\left(x_{2}, 0\right)\), for \(x_{1}<0\) and \(x_{2}>0\), be the foci of the ellipse \(\frac{x^{2}}{9}+\frac{y^{2}}{8}=1 .\) Suppose a parabola having vertex at the origin and focus at \(F_{2}\) intersects the ellipse at point \(M\) in the first quadrant and at point \(N\) in the fourth quadrant.
Question:
The orthocentre of the triangle \(F_{1} M N\) is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
Parabola is
The intersection of ellipse & parabola is
Equation of altitude through
Equation of altitude through
Solving, we get orthocentre
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