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The ellipse 4x2 + 9y2 = 36 and the hyperbola 4x2 – y2 = 4 have the same foci and they intersect at right angles then the equation of the circle through the points of intersection of two conics is
  • a)
    x2 + y2 = 5 
  • b)
    √5 (x2+y2) – 3x – 4y = 0
  • c)
    √5 (x2+y2)+3x+4y=0
  • d)
    x2 + y2 = 25
Correct answer is option 'A'. Can you explain this answer?
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The ellipse 4x2+ 9y2= 36 and the hyperbola 4x2–y2= 4 have the sa...

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The ellipse 4x2+ 9y2= 36 and the hyperbola 4x2–y2= 4 have the sa...
+ 9y2 = 36 are both conic sections. However, the ellipse is not complete in your given equation as it is missing the term for the y-variable. The correct equation for an ellipse would be:

4x^2 + 9y^2 = 36

On the other hand, the hyperbola equation is incomplete and missing the second term for the y-variable. The correct equation for a hyperbola would be:

4x^2 - 9y^2 = 36
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The ellipse 4x2+ 9y2= 36 and the hyperbola 4x2–y2= 4 have the same foci and they intersect at right angles then the equation of the circle through the points of intersection of two conics isa)x2+ y2= 5b)√5 (x2+y2) –3x –4y = 0c)√5 (x2+y2)+3x+4y=0d)x2+ y2= 25Correct answer is option 'A'. Can you explain this answer?
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The ellipse 4x2+ 9y2= 36 and the hyperbola 4x2–y2= 4 have the same foci and they intersect at right angles then the equation of the circle through the points of intersection of two conics isa)x2+ y2= 5b)√5 (x2+y2) –3x –4y = 0c)√5 (x2+y2)+3x+4y=0d)x2+ y2= 25Correct 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 The ellipse 4x2+ 9y2= 36 and the hyperbola 4x2–y2= 4 have the same foci and they intersect at right angles then the equation of the circle through the points of intersection of two conics isa)x2+ y2= 5b)√5 (x2+y2) –3x –4y = 0c)√5 (x2+y2)+3x+4y=0d)x2+ y2= 25Correct 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 The ellipse 4x2+ 9y2= 36 and the hyperbola 4x2–y2= 4 have the same foci and they intersect at right angles then the equation of the circle through the points of intersection of two conics isa)x2+ y2= 5b)√5 (x2+y2) –3x –4y = 0c)√5 (x2+y2)+3x+4y=0d)x2+ y2= 25Correct answer is option 'A'. Can you explain this answer?.
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