Mental Ability Olympiad Question on circles X grade

Two circles with radii a and b respectively touch each other externally. Let c be the radius of a circle that touches these two circles as well as a common tangent to these two circles . Then _. (No figure given)

(A) 1 upon root a - 1 upon root b = 1 upon root c (B) 1 upon root a + 1 upon root b + 1 upon root c = 0 (C) 1 upon root a + 1 upon root b = 1 upon root c (D) none of these

The answer is C but how?

Note by Pranjal Kulkarni
4 years, 6 months ago

No vote yet
1 vote

  Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 \( 2 \times 3 \)
2^{34} \( 2^{34} \)
a_{i-1} \( a_{i-1} \)
\frac{2}{3} \( \frac{2}{3} \)
\sqrt{2} \( \sqrt{2} \)
\sum_{i=1}^3 \( \sum_{i=1}^3 \)
\sin \theta \( \sin \theta \)
\boxed{123} \( \boxed{123} \)

Comments

Sort by:

Top Newest

fgnc fh

Galen Buhain - 2 years, 4 months ago

Log in to reply

fg

Galen Buhain - 2 years, 4 months ago

Log in to reply

iuy

Galen Buhain - 2 years, 4 months ago

Log in to reply

jk

Galen Buhain - 2 years, 4 months ago

Log in to reply

b

Galen Buhain - 2 years, 4 months ago

Log in to reply

rgdf

Galen Buhain - 2 years, 4 months ago

Log in to reply

k,mjb

Galen Buhain - 2 years, 4 months ago

Log in to reply

thnhjmf

Galen Buhain - 2 years, 4 months ago

Log in to reply

uit

Galen Buhain - 2 years, 4 months ago

Log in to reply

tyhfgh

Galen Buhain - 2 years, 4 months ago

Log in to reply

l'j

Galen Buhain - 2 years, 4 months ago

Log in to reply

ghj,h

Galen Buhain - 2 years, 4 months ago

Log in to reply

thnfg

Galen Buhain - 2 years, 4 months ago

Log in to reply

vu6vcerg

Galen Buhain - 2 years, 4 months ago

Log in to reply

opic35

Galen Buhain - 2 years, 4 months ago

Log in to reply

sxvfb

Galen Buhain - 2 years, 4 months ago

Log in to reply

547j

Galen Buhain - 2 years, 4 months ago

Log in to reply

12aw35

Galen Buhain - 2 years, 4 months ago

Log in to reply

yjmnth

Galen Buhain - 2 years, 4 months ago

Log in to reply

dfby

Galen Buhain - 2 years, 4 months ago

Log in to reply

f4gb

Galen Buhain - 2 years, 4 months ago

Log in to reply

wfd

Galen Buhain - 2 years, 4 months ago

Log in to reply

wdfw

Galen Buhain - 2 years, 4 months ago

Log in to reply

wsw

Galen Buhain - 2 years, 4 months ago

Log in to reply

muhbb

Galen Buhain - 2 years, 4 months ago

Log in to reply

efgvds

Galen Buhain - 2 years, 4 months ago

Log in to reply

dvb

Galen Buhain - 2 years, 4 months ago

Log in to reply

mn

Galen Buhain - 2 years, 4 months ago

Log in to reply

mn,kl

Galen Buhain - 2 years, 4 months ago

Log in to reply

vvbxvb

Galen Buhain - 2 years, 4 months ago

Log in to reply

hgncb

Galen Buhain - 2 years, 4 months ago

Log in to reply

vb cvb c

Galen Buhain - 2 years, 4 months ago

Log in to reply

hjhfn

Galen Buhain - 2 years, 4 months ago

Log in to reply

ergerfg

Galen Buhain - 2 years, 4 months ago

Log in to reply

erhrg

Galen Buhain - 2 years, 4 months ago

Log in to reply

bgth

Galen Buhain - 2 years, 4 months ago

Log in to reply

qw12

Galen Buhain - 2 years, 4 months ago

Log in to reply

hdfb

Galen Buhain - 2 years, 4 months ago

Log in to reply

gnrgn

Galen Buhain - 2 years, 4 months ago

Log in to reply

fhm

Galen Buhain - 2 years, 4 months ago

Log in to reply

kukra sing glo

Galen Buhain - 2 years, 4 months ago

Log in to reply

buj duyungs mohammad kron kar

Galen Buhain - 2 years, 4 months ago

Log in to reply

abut kayaf shu na ila

Galen Buhain - 2 years, 4 months ago

Log in to reply

qwer

Galen Buhain - 2 years, 4 months ago

Log in to reply

22e

Galen Buhain - 2 years, 4 months ago

Log in to reply

tt

Galen Buhain - 2 years, 4 months ago

Log in to reply

jhf

Galen Buhain - 2 years, 4 months ago

Log in to reply

dgyj

Galen Buhain - 2 years, 4 months ago

Log in to reply

tyi

Galen Buhain - 2 years, 4 months ago

Log in to reply

hello

Galen Buhain - 2 years, 4 months ago

Log in to reply

hi

Galen Buhain - 2 years, 4 months ago

Log in to reply

a

Galen Buhain - 2 years, 4 months ago

Log in to reply

Hint: Pythagorean's formula. Let the points of contact between the circle and the common tangent be \(T_A, T_B, T_C\). Find \(T_AT_B, T_AT_C, T_CT_B\) in terms of \(a,b,c\). Anyway draw a figure yourself.

Yong See Foo - 4 years, 6 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...