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A circle touches the x-axis and also touches the circle with centre at (0, 3) and radius 2. The locus of the centre of the circle is -
[AIEEE-2005]
  • a)
    an ellipse
  • b)
    a circle
  • c)
    a hyperbola
  • d)
    a parabola
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A circle touches the x-axis and also touches the circle with centre at...
Let center be (h, k)


h2 + k2 - 6k + 9 = k2 + 4k + 4
h2 = 10k - 5


which is a parabola
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A circle touches the x-axis and also touches the circle with centre at (0, 3) and radius 2. The locus of the centre of the circle is -[AIEEE-2005]a)an ellipseb)a circlec)a hyperbolad)a parabolaCorrect answer is option 'D'. Can you explain this answer?
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A circle touches the x-axis and also touches the circle with centre at (0, 3) and radius 2. The locus of the centre of the circle is -[AIEEE-2005]a)an ellipseb)a circlec)a hyperbolad)a parabolaCorrect 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 circle touches the x-axis and also touches the circle with centre at (0, 3) and radius 2. The locus of the centre of the circle is -[AIEEE-2005]a)an ellipseb)a circlec)a hyperbolad)a parabolaCorrect 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 circle touches the x-axis and also touches the circle with centre at (0, 3) and radius 2. The locus of the centre of the circle is -[AIEEE-2005]a)an ellipseb)a circlec)a hyperbolad)a parabolaCorrect answer is option 'D'. Can you explain this answer?.
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