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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. 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)
  • a)
    3 : 4
  • b)
    4 : 5
  • c)
    5 : 8
  • d)
    2 : 3
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
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 
Tangents to ellipse at M and N are
and 
Their intersection point is R (6, 0)
Also normal to parabola at  is 
Its intersection with x-axis is 
Now ar (ΔMQR)  =
Also area (MF1NF2) = 2 × Ar (F1MF2)
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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)a)3 : 4b)4 : 5c)5 : 8d)2 : 3Correct answer is option 'C'. 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. 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)a)3 : 4b)4 : 5c)5 : 8d)2 : 3Correct answer is option 'C'. 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. 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)a)3 : 4b)4 : 5c)5 : 8d)2 : 3Correct answer is option 'C'. 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. 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)a)3 : 4b)4 : 5c)5 : 8d)2 : 3Correct answer is option 'C'. Can you explain this answer?.
Solutions 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. 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)a)3 : 4b)4 : 5c)5 : 8d)2 : 3Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
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