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If a variable tangent of circle x2 + y2 = 1 intersects the ellipse x2 + 2y2 = 4 at points P and Q then the locus of the point of intersection of tangents at P and Q is :
  • a)
    a parabola with latus rectum = 4
  • b)
    a parabola with focus as (2, 3)
  • c)
    an ellipse with eccentricity 
  • d)
    an ellipse with eccentricity greater than 1/2
Correct answer is option 'C,D'. Can you explain this answer?
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If a variable tangent of circle x2 + y2 = 1 intersects the ellipse x2 ...
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If a variable tangent of circle x2 + y2 = 1 intersects the ellipse x2 ...
Hii!! So use the equation of tangent to the circle y=mx+/-a (1+m^2)^1/2 and then solve this by the equation of ellipse with u will get an quadratic equation in x and then do D>0 then u get the value of m put they value in the tangent equation and solve it again u will get a parametric form Manipulate that form and u will get the equation of an ellipse.... Its bit lengthy but u will definitely get the solution.......... Thanks
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If a variable tangent of circle x2 + y2 = 1 intersects the ellipse x2 + 2y2 = 4 at points P and Q then the locus of the point of intersection of tangents at P and Q is :a)a parabola with latus rectum = 4b)a parabola with focus as (2, 3)c)an ellipse with eccentricity d)an ellipse with eccentricity greater than1/2Correct answer is option 'C,D'. Can you explain this answer?
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If a variable tangent of circle x2 + y2 = 1 intersects the ellipse x2 + 2y2 = 4 at points P and Q then the locus of the point of intersection of tangents at P and Q is :a)a parabola with latus rectum = 4b)a parabola with focus as (2, 3)c)an ellipse with eccentricity d)an ellipse with eccentricity greater than1/2Correct answer is option 'C,D'. 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 If a variable tangent of circle x2 + y2 = 1 intersects the ellipse x2 + 2y2 = 4 at points P and Q then the locus of the point of intersection of tangents at P and Q is :a)a parabola with latus rectum = 4b)a parabola with focus as (2, 3)c)an ellipse with eccentricity d)an ellipse with eccentricity greater than1/2Correct answer is option 'C,D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a variable tangent of circle x2 + y2 = 1 intersects the ellipse x2 + 2y2 = 4 at points P and Q then the locus of the point of intersection of tangents at P and Q is :a)a parabola with latus rectum = 4b)a parabola with focus as (2, 3)c)an ellipse with eccentricity d)an ellipse with eccentricity greater than1/2Correct answer is option 'C,D'. Can you explain this answer?.
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