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A circle touches a straight line lx + my + n = 0 and cuts the circle x2 + y2 = 9 orthogonally, The locus of centres of such circles is
  • a)
    (lx + my + n)2 = (l2 + m2) (x2 + y2 – 9)
  • b)
    (lx + my – n)2 = (l2 + m2) (x2 + y2– 9)
  • c)
    (lx + my + n)2 = (l2 + m2) (x2+ y2 + 9)
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A circle touches a straight line lx + my + n = 0 and cuts the circle x...
Let the equation of the circle is-
x2+y2+2gx+2fy+c = 0
Given, this circle is orthogonal to x2 +y2 −9=0
Condition of orthogonality

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A circle touches a straight line lx + my + n = 0 and cuts the circle x...
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A circle touches a straight line lx + my + n = 0 and cuts the circle x2+ y2= 9 orthogonally, The locus of centres of such circles isa)(lx + my + n)2= (l2+ m2) (x2+ y2–9)b)(lx + my –n)2= (l2+ m2) (x2+ y2–9)c)(lx + my + n)2= (l2+ m2) (x2+ y2+ 9)d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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A circle touches a straight line lx + my + n = 0 and cuts the circle x2+ y2= 9 orthogonally, The locus of centres of such circles isa)(lx + my + n)2= (l2+ m2) (x2+ y2–9)b)(lx + my –n)2= (l2+ m2) (x2+ y2–9)c)(lx + my + n)2= (l2+ m2) (x2+ y2+ 9)d)None of theseCorrect answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A circle touches a straight line lx + my + n = 0 and cuts the circle x2+ y2= 9 orthogonally, The locus of centres of such circles isa)(lx + my + n)2= (l2+ m2) (x2+ y2–9)b)(lx + my –n)2= (l2+ m2) (x2+ y2–9)c)(lx + my + n)2= (l2+ m2) (x2+ y2+ 9)d)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circle touches a straight line lx + my + n = 0 and cuts the circle x2+ y2= 9 orthogonally, The locus of centres of such circles isa)(lx + my + n)2= (l2+ m2) (x2+ y2–9)b)(lx + my –n)2= (l2+ m2) (x2+ y2–9)c)(lx + my + n)2= (l2+ m2) (x2+ y2+ 9)d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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