\(P,Q,R,S\) are the centres of the four circles each of which is cut by a fixed circle orthogonally. If \(I^{2}_1,I^{2}_2,I^{2}_3,I^{2}_4\) are the squares of length of tangents to the four circles from a point in their plane then

\(a.\) \(I^{2}_1\Delta QRS-I^{2}_2\Delta RSP+I^{2}_3\Delta SPQ-I^{2}_4\Delta PQR=0\)

\(b.\) \(I^{2}_1\Delta QRS+I^{2}_2\Delta RSP-I^{2}_3\Delta SPQ+I^{2}_4\Delta PQR=0\)

\(c.\) \(I^{2}_1\Delta QRS-I^{2}_2\Delta RSP+I^{2}_3\Delta SPQ-I^{2}_4\Delta PQR=-1\)

\(d.\) none of these

No vote yet

1 vote

×

Problem Loading...

Note Loading...

Set Loading...

Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

Sort by:

TopNewestCould you explain the notation that you have used in the first three options?

Log in to reply

Those are notation of “triange”.

Log in to reply

Even I know that.What I want to ask is what do we mean by \(I1^2\)triangle QRS.Does it mean square of tangent length from a fixed point to circumcircle of triangle QRS.

Log in to reply

Comment deleted Apr 09, 2016

Log in to reply

Log in to reply

Log in to reply

@Nihar mahajan , @cheo-sheong cheong help

Log in to reply