if Straight lines , ax+by+p=0 and xcos(m)+ysin(m)=p
enclose an angle of 45degree and the line xsin(m)=ycos(m)meet them at the same point .
then find the value of a^2+b^2

Point of intersection of the three straight lines comes to pCosm,pSinm.Plugging this into first equation gives one equation.Now the slopes of the 2nd and 3rd lines are known as also the angle between them,45 degrees.This gives another equation.Solving these two and eliminating m gives a^2+b^2=2.

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:

TopNewestPoint of intersection of the three straight lines comes to pCosm,pSinm.Plugging this into first equation gives one equation.Now the slopes of the 2nd and 3rd lines are known as also the angle between them,45 degrees.This gives another equation.Solving these two and eliminating m gives a^2+b^2=2.

Log in to reply

yes you are correct the answer is 2

Log in to reply

is the answer 2?

Log in to reply

i dont know could you tell how you did it

Log in to reply