If d1, d2 (d2 d1) be the diameters of two concentric circles and C be the chord of - Maths - Circles

Question

If d1, d2 (d2 >
d1) be the diameters of two concentric circles and C be
the chord of a chord of a circle which is tangent to other circle
with centre O, prove that d2 2 =
d1 2 + C2

Ayush Jha · Accepted Answer

Consider O be the centre be two concentric circle Let PQ be
the tangent to the inner circle that touches the circle at R
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height="425" width="258">
Hence proved

If d1, d2 (d2 > d1) be the diameters of two concentric circles and C be the chord of a chord of a circle which is tangent to other circle with centre O, prove that d2 2 = d1 2 + C2 .

If d₁, d₂ (d₂ > d₁) be the diameters of two concentric circles and C be the chord of a chord of a circle which is tangent to other circle with centre O, prove that d₂ ²= d₁ ² + C².