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  4. The intercepts made by the circle x2+y2-5 x-13 y-14=0 on the x-axis and y-axis are respectively

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Q. The intercepts made by the circle $x^2+y^2-5 x-13 y-14=0$ on the $x$-axis and $y$-axis are respectively

Conic Sections

Solution:

Intercept on $x$-axis $=2 \sqrt{\frac{25}{4}+14}=9$
Intercept on y-axis $=2 \sqrt{\frac{169}{4}+14}=15$