Waste less time on Facebook — follow Brilliant.
×

2nd DAY: SOLVE THIS INTERESTING PROBLEM...

IT'S THE SECOND DAY OF POSTING AND DISCUSSING VARIOUS MATH PROBLEMS THAT I EVENTUALLY COME ACROSS.....HAPPY SOLVING...:-)*

Note by Raja Metronetizen
4 years, 7 months ago

No vote yet
3 votes

  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

since m and l are real .it means that l<1 and m<1.(as if they were greater than 1 the square of the other would be complex)

hence write l = cosx (for some x)

and m is the sin x

then divide al+bm=c by sqrta^2+b^2 (As a^2 + b^2 is not 0)

write the lhs as sin(j+x) (for some j)

hence as the sin function oscillates between -1 and 1

c oscillates between -sqrt a^2 + b^2 to sqrt a^2+b^2

i know i didnt write clearly but hope u get what im saying

Pranav Chakravarthy - 4 years, 7 months ago

Log in to reply

yea, i got to what you are trying to say......it's great and right.....a good job...then wait for tomorrow for an another great problem......keep in touch....:--]

Raja Metronetizen - 4 years, 7 months ago

Log in to reply

using cauchy-schwarz inequality,we have (a^2+b^2)(l^2+m^2)>=(al+bm)^2=c^2,which implies A

Sauvik Mondal - 4 years, 7 months ago

Log in to reply

good idea......you are then showing acumen over problem solving....great application...thanx.....

Raja Metronetizen - 4 years, 7 months ago

Log in to reply

The answer is a

Pranav Chakravarthy - 4 years, 7 months ago

Log in to reply

how got to answer.....?..... :-o

Raja Metronetizen - 4 years, 7 months ago

Log in to reply

It can be seen through this... most of the above portion ... an expression of the form {Asinx +(or -) Bcosx} oscillates between +(-) sqrt(a^2 + b^2) ...

Saloni Gupta - 4 years, 7 months ago

Log in to reply

@Saloni Gupta yes u r right.....Pranav c. himself described it rightly.......:)

Raja Metronetizen - 4 years, 7 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...