From any point $P$ on the line $5x+4y=20$ tangents are drawn to the circle $x^2+y^2=4$ then find the locus of the circum-centre of the $\triangle PQR$

score 37 · Answer 12 · 2026-04-13 04:07:46

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Bicentric Quadrilateral Pyramid Problem

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score 323 · Answer 13 · 2026-04-14 23:36:35

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The shaded area of the circle

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score 62 · Answer 14 · 2026-04-16 06:08:44

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If $|Z-1-i|=1$ and $|S-1+i|=2$ where $Z$ and $S$ are two complex numbers then find the maximum value of $\frac1{|4Z-1|^2}+\frac1{|3S+1|^2}$

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score 114 · Answer 15 · 2026-04-14 10:59:33

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Using angle bisector to prove a quadrilateral is concyclic.

Published on 14 Apr 2026 - 10:59

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From any point $P$ on the line $5x+4y=20$ tangents are drawn to the circle $x^2+y^2=4$ then find the locus of the circum-centre of the $\triangle PQR$

Bicentric Quadrilateral Pyramid Problem

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If $|Z-1-i|=1$ and $|S-1+i|=2$ where $Z$ and $S$ are two complex numbers then find the maximum value of $\frac1{|4Z-1|^2}+\frac1{|3S+1|^2}$

Using angle bisector to prove a quadrilateral is concyclic.

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