ABCD is a line segment, AB = BC = CD. P is any point on circle with BC as diameter. If the angles ∠APB = α and ∠CPD = β. Prove that, $4\tanα\tanβ= 1$.

score 44 · Answer 14 · 2026-04-15 15:27:26

44

Views

Villarceau circles of the square torus

Published on 15 Apr 2026 - 15:27

score 44 · Answer 15 · 2026-04-11 02:36:25

44

Views

Why the angle spanned by three points of En is independent of the choice of coordinates?

Published on 11 Apr 2026 - 2:36

List Question

angle bisector and relationships between lengths

Are all convex hexagonal space tilings either double lattices or triple lattices?

Not fully understanding the main answer to a previous question: Why is the volume of a cone one third of the volume of a cylinder?

A geometry test question with an isoceles triangle in it

Euler characteristic of a convex polyhedron proof through sum of angles

Must $P$ be a circle?

Point $D$ in $\triangle{ABC}$ such that $\angle{DBC}=\angle{DCB}=10^{\circ}$, $\angle{BAD}=20^{\circ}, \angle{DAC}=40^{\circ}$, show that $AD=AC$

How to find length of line intersecting trapezoid?

Proving that angle measurement is well defined

Find the value of angle $x$ in the polygon below

geometry problem involving a half equilateral triangle and its angle bissector - can it be solved without coordinate geometry?

For 4 balls having diameters $26,24,13$ and $9$ cm, find minimum length of a closed parallelepiped where the four balls can be placed.

ABCD is a line segment, AB = BC = CD. P is any point on circle with BC as diameter. If the angles ∠APB = α and ∠CPD = β. Prove that, $4\tanα\tanβ= 1$.

Villarceau circles of the square torus

Why the angle spanned by three points of En is independent of the choice of coordinates?

Trending Questions

Popular # Hahtags

Popular Questions