A circle passes through the points and touches the -axis at . If is maximum then |
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a) |
b) |
c) |
d) |

A circle passes through the points and touches the -axis at . If is maximum then |
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a) |
b) |
c) |
d) |

1 Answer

127 votes

**(c)**

Equation of any circles passing through (1, 0) and (5, 0) is

i.e.

If is maximum, then this circle must touch the -axis at . Putting in the equation of circle, we get . It should have as it is a repeated root

and

127 votes

127