Mathematics · Circles

If the intercepts made by a variable circle on the X-axis and Y-axis are 8 and 6 units respectively, then the locus of the centre of the circle is:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1x2 - y2 - 7 = 0✓
2x2 - y2 - 28 = 0
3y2 - x2 - 7 = 0
4x2 - y2 + 28 = 0

Correct answer

x2 - y2 - 7 = 0

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If the intercepts made by a variable circle on the X-axis and Y-axis are 8 and 6 units respectively, then the locus of the centre of the circle is:

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If the intercepts made by a variable circle on the X-axis and Y-axis are 8 and 6 units respectively, then the locus of the centre of the circle is:

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