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Asymptotes

If one end of...

Question

If one end of the diameter of a circle is (3, 4) which touches the x-axis then the locus of other end of the diameter of the circle is

A

Circle

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B

parabola

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C

ellipse

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D

hyperbola

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Solution

The correct option is B parabola
Let other end of diameter (h, k)

Hence centre is $\sqrt{{(\frac{3 + h}{2} - 3)}^{2} + {(\frac{k + 4}{2} - 4)}^{2}}$ gives the equation of parabola

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