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A line meets the coordinate axes in A and B, and a circle is circumscribing triangle AOB where O is the origin. If m, n are the distances of the tangents to this circle at the origin from the points A and B respectively, then the diameter of the circle is
  • a)
    m(m + n)
  • b)
    n(m + n)
  • c)
    m – n
  • d)
    m + n
Correct answer is option 'D'. Can you explain this answer?
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A line meets the coordinate axes in A and B, and a circle is circumscr...

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A line meets the coordinate axes in A and B, and a circle is circumscr...
Since AB is the diameter of the circle. 
From figure, 
Also equation of the circle is 

equation of tangent to this circle at (0, 0) is ax + by = 0 ……(1)
∴ m = length of perpendicular from


and n = length of perpendicular from 


Hence (D) is the correct answer.
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A line meets the coordinate axes in A and B, and a circle is circumscribing triangle AOB where O is the origin. If m, n are the distances of the tangents to this circle at the origin from the points A and B respectively, then the diameter of the circle isa)m(m + n)b)n(m + n)c)m – nd)m + nCorrect answer is option 'D'. Can you explain this answer?
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A line meets the coordinate axes in A and B, and a circle is circumscribing triangle AOB where O is the origin. If m, n are the distances of the tangents to this circle at the origin from the points A and B respectively, then the diameter of the circle isa)m(m + n)b)n(m + n)c)m – nd)m + nCorrect 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 A line meets the coordinate axes in A and B, and a circle is circumscribing triangle AOB where O is the origin. If m, n are the distances of the tangents to this circle at the origin from the points A and B respectively, then the diameter of the circle isa)m(m + n)b)n(m + n)c)m – nd)m + nCorrect 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 A line meets the coordinate axes in A and B, and a circle is circumscribing triangle AOB where O is the origin. If m, n are the distances of the tangents to this circle at the origin from the points A and B respectively, then the diameter of the circle isa)m(m + n)b)n(m + n)c)m – nd)m + nCorrect answer is option 'D'. Can you explain this answer?.
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