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If a variable straight line xcosα + ysinα = p which is a chord of the hyperbola subtend a right angle at the centre of the hyperbola, then it always touches a fixed circle whose
  • a)
    Radius is
  • b)
    Radius is
  • c)
    Centre is (0, 0)
  • d)
    Centre is at the centre of the hyperbola
Correct answer is option 'B,C,D'. Can you explain this answer?
Most Upvoted Answer
If a variable straight line xcosα + ysinα = p which is a chord of the...
Equation of the pair of straight lines passing through the origin (centre of the hyperbola) and points of intersection of the variable chord and the hyperbola is
They are at right angles if
As p is the length of the perpendicular from the origin on the line xcosα + ysinα = p, line touches the circle with centre at the origin (0,0) and radius equal to .
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If a variable straight line xcosα + ysinα = p which is a chord of the hyperbola subtend a right angle at the centre of the hyperbola, then it always touches a fixed circle whosea)Radius is b)Radius is c)Centre is (0, 0)d)Centre is at the centre of the hyperbolaCorrect answer is option 'B,C,D'. Can you explain this answer?
Question Description
If a variable straight line xcosα + ysinα = p which is a chord of the hyperbola subtend a right angle at the centre of the hyperbola, then it always touches a fixed circle whosea)Radius is b)Radius is c)Centre is (0, 0)d)Centre is at the centre of the hyperbolaCorrect answer is option 'B,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 straight line xcosα + ysinα = p which is a chord of the hyperbola subtend a right angle at the centre of the hyperbola, then it always touches a fixed circle whosea)Radius is b)Radius is c)Centre is (0, 0)d)Centre is at the centre of the hyperbolaCorrect answer is option 'B,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 straight line xcosα + ysinα = p which is a chord of the hyperbola subtend a right angle at the centre of the hyperbola, then it always touches a fixed circle whosea)Radius is b)Radius is c)Centre is (0, 0)d)Centre is at the centre of the hyperbolaCorrect answer is option 'B,C,D'. Can you explain this answer?.
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