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P, Q are two points on the rectangular hyperbola (x – 1)(y – 2) = c2, O is the centre of hyperbola, also tangent at P is perpendicular to OQ and meets OQ at N such that (OQ)(ON) = 4  
Q. 
One of the equation of directrix of the hyperbola is
  • a)
    x + y – 2 = 0
  • b)
  • c)
    x + y – 4 = 0
  • d)
    x + y – 5 = 0
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
P, Q are two points on the rectangular hyperbola (x 1)(y 2) = c2, O ...

so equation of hyperbola is (x – 1)(y – 2) = 2  
Its foci are (−1, 0), (3, 4) and equation of directrix is x + y – 5 = 0, x + y – 7 = 0 is the equation of latus rectum of ellipse and tangents at end points of latus rectum always intersects on corresponding directrix.   
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P, Q are two points on the rectangular hyperbola (x 1)(y 2) = c2, O is the centre of hyperbola, also tangent at P is perpendicular to OQ and meets OQ at N such that (OQ)(ON) = 4 Q.One of the equation of directrix of the hyperbola isa)x + y 2 = 0b)c)x + y 4 = 0d)x + y 5 = 0Correct answer is option 'D'. Can you explain this answer?
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P, Q are two points on the rectangular hyperbola (x 1)(y 2) = c2, O is the centre of hyperbola, also tangent at P is perpendicular to OQ and meets OQ at N such that (OQ)(ON) = 4 Q.One of the equation of directrix of the hyperbola isa)x + y 2 = 0b)c)x + y 4 = 0d)x + y 5 = 0Correct answer is option '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 P, Q are two points on the rectangular hyperbola (x 1)(y 2) = c2, O is the centre of hyperbola, also tangent at P is perpendicular to OQ and meets OQ at N such that (OQ)(ON) = 4 Q.One of the equation of directrix of the hyperbola isa)x + y 2 = 0b)c)x + y 4 = 0d)x + y 5 = 0Correct answer is option '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 P, Q are two points on the rectangular hyperbola (x 1)(y 2) = c2, O is the centre of hyperbola, also tangent at P is perpendicular to OQ and meets OQ at N such that (OQ)(ON) = 4 Q.One of the equation of directrix of the hyperbola isa)x + y 2 = 0b)c)x + y 4 = 0d)x + y 5 = 0Correct answer is option 'D'. Can you explain this answer?.
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