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A circle passes through the points  and touches the -axis at . If  is maximum then

a)

b)

c)

d)


Question ID - 56110 | Toppr Answer

A circle passes through the points  and touches the -axis at . If  is maximum then

a)

b)

c)

d)

1 Answer - 5876 Votes

3537

Answer Key : (c) -

(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



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