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# The Lengths Of The Intercepts Made By Any Circle On The Coordinates Axes Are Equal If The Centre Lies On The Line (s) Represented By

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## Question

### Solution

Correct option is

x2 – y2 = 0

Let the equation of any circle be

x2 + y2 + 2gx + 2fy + c = 0                                (i)

For intercept made by the circle on x-axis, put y = 0 in (i)

If x1x2 are roots of (ii), then length of the intercepts on x-axis is

Similarly length of the intercept of the y-axis is

Since the lengths of these intercepts are equal

Therefore, centre lies on x2 – y2 = 0

#### SIMILAR QUESTIONS

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Q2

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Q6

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Q7

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Q8

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Q9

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Q10

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