Home Maths Circle and System of Circles General P(a, b) is a point in the first quadrant. If…
Maths Circle and System of Circles General Subjective Type
Published on: August 14, 2026

P(a, b) is a point in the first quadrant. If the two circles which pass through P and touch both the
co − ordinate axes cut at right angles, then find condition in a and b.

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Equations of two circles touching both the axes are

∵ (i) & (ii) are orthogonal also

Now point lies over the circle

& are roots of this equation

and
from (iii), (iv) & (v), we get

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