PASSAGE 6Let F1(x1, 0) and F2(x2, 0) for x1 andlt; 0 and x2 andgt; 0, be the foci of the ellipseSuppose a parabola having vertex at theorigin and focus at F2 intersects the ellipse at point M in the first quadrant and at point N in the fourth quadrant.Q. The orthocentre of th e triangle F1MN is (JEE Adv. 2016)a)b)c)d)Correct answer is option 'A'. Can you explain this answer?

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PASSAGE 6
Let F₁(x₁, 0) and F₂(x₂, 0) for x1 < 0 and x₂> 0, be the foci of the ellipse Suppose a parabola having vertex at the origin and focus at F₂ intersects the ellipse at point M in the first quadrant and at point N in the fourth quadrant.

Q. The orthocentre of th e triangle F₁MN is (JEE Adv. 2016)

Correct answer is option 'A'. Can you explain this answer?

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PASSAGE 6Let F1(x1, 0) and F2(x2, 0) for x1 < 0 and x2 > 0, be t...

For ellipse

∴ F₁(– 1, 0) and F₂ (1, 0) Parabola with vertex at (0, 0) and focus at F₂(1, 0) is y² = 4x.
Intersection points of ellipse and parabola are

and

For orthocentre of ΔF₁MN, clearly one altitude is x-axis i.e. y = 0 and altitude from M to F₁N is

Putting y = 0 in above equation, we get

∴ Orthocentre

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PASSAGE 6Let F1(x1, 0) and F2(x2, 0) for x1 < 0 and x2 > 0, be the foci of the ellipseSuppose a parabola having vertex at theorigin and focus at F2 intersects the ellipse at point M in the first quadrant and at point N in the fourth quadrant.Q. If the tangen ts to the ellipse at M an d N meet at R and the normal to the parabola at M meets the x-axis at Q, then the ratio of area of the triangle MQR to area of the quadrilateral MF1NF2 is (JEE Adv. 2016)

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PASSAGE 6Let F1(x1, 0) and F2(x2, 0) for x1 < 0 and x2 > 0, be the foci of the ellipseSuppose a parabola having vertex at theorigin and focus at F2 intersects the ellipse at point M in the first quadrant and at point N in the fourth quadrant.Q. The orthocentre of th e triangle F1MN is (JEE Adv. 2016)a)b)c)d)Correct answer is option 'A'. Can you explain this answer?

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PASSAGE 6Let F1(x1, 0) and F2(x2, 0) for x1 < 0 and x2 > 0, be the foci of the ellipseSuppose a parabola having vertex at theorigin and focus at F2 intersects the ellipse at point M in the first quadrant and at point N in the fourth quadrant.Q. The orthocentre of th e triangle F1MN is (JEE Adv. 2016)a)b)c)d)Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about PASSAGE 6Let F1(x1, 0) and F2(x2, 0) for x1 < 0 and x2 > 0, be the foci of the ellipseSuppose a parabola having vertex at theorigin and focus at F2 intersects the ellipse at point M in the first quadrant and at point N in the fourth quadrant.Q. The orthocentre of th e triangle F1MN is (JEE Adv. 2016)a)b)c)d)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for PASSAGE 6Let F1(x1, 0) and F2(x2, 0) for x1 < 0 and x2 > 0, be the foci of the ellipseSuppose a parabola having vertex at theorigin and focus at F2 intersects the ellipse at point M in the first quadrant and at point N in the fourth quadrant.Q. The orthocentre of th e triangle F1MN is (JEE Adv. 2016)a)b)c)d)Correct answer is option 'A'. Can you explain this answer?.

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