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NDA Math Circle

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Question : 24 of 26

Marks: +1, -0

If the center of the circle passing through the origin is (3,4),then the intercepts cut off by the circle on x-axis and y - axis respectively are

3 unit and 4 unit
6 unit and 4 unit
3 unit and 8 unit
6 unit and 8 unit

Solution:

Equation of circle having radius r and centre (3,4) is

=(x-3)^{2}+(y-4)^{2}=r^{2}

if it is passing through (0, 0)

\therefore (0-3)^{2}+(0-4)^{2}=r^{2}

\Rightarrow r^{2}=25

equation of circle is

(x-3)^{2}+(y-4)^{2}=25

putting

y=0

\therefore x=6

unit = interception x-axis intercept on y axis (putting

x=0

) is

y=8

units

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