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If O is the origin, OP and OQ are distinct tangents to the circle x2 + y2 + 2gx + 2fy + c = 0, then the circumcentre of the triangle OPQ is
  • a)
    (−g,−f)
  • b)
    (g, f)
  • c)
    (−f, −g)
  • d)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If O is the origin, OP and OQ are distinct tangents to the circle x2 ...
Tangents drawn from the point O, meet the cirle at P & Q and C be the centre of given circle. Then points O, P, C and Q are concyclic. That means any circle passing through O, P and Q also passes through C and OC is the diameter for this circle. Hence, mid-point of OC is the circumcentre of triangle OPQ.
Coordinates of circumcenter
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If O is the origin, OP and OQ are distinct tangents to the circle x2 + y2 + 2gx + 2fy + c = 0, then the circumcentre of the triangle OPQ isa)(−g,−f)b)(g, f)c)(−f, −g)d)None of theseCorrect answer is option 'D'. Can you explain this answer?
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If O is the origin, OP and OQ are distinct tangents to the circle x2 + y2 + 2gx + 2fy + c = 0, then the circumcentre of the triangle OPQ isa)(−g,−f)b)(g, f)c)(−f, −g)d)None of theseCorrect 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 If O is the origin, OP and OQ are distinct tangents to the circle x2 + y2 + 2gx + 2fy + c = 0, then the circumcentre of the triangle OPQ isa)(−g,−f)b)(g, f)c)(−f, −g)d)None of theseCorrect 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 If O is the origin, OP and OQ are distinct tangents to the circle x2 + y2 + 2gx + 2fy + c = 0, then the circumcentre of the triangle OPQ isa)(−g,−f)b)(g, f)c)(−f, −g)d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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