3D-2

consider a triangle AOB in the x-y plane where A(1,0,0) , B(0,2,0) , O(0,0,0). the new position of O , when triangl is rotated about side AB by 90° can be ...

a) 4/5,3/5,2/√5

b)-3/5,√2/5,2/√5

c) 4/5,2/5,2/√5

d) 4/5,2/5,1/√5.

[got the ans C by an unconventional method (paper folding ..)] .. but plz someone solve 'nicely'..

11 Answers

62
Lokesh Verma ·

Things that i think need to be kept in mind for this one..

1) the distances OA and OB are fixed. So the distance should be a constant.

OA=1 and OB=2

(1+9+20)/25
(64+2+20)/25
(1+4+20)/25
(1+4+5)/25

so what I am getting is C

sky could you confirm that D is the correct answer and not A, B or C?

1
voldy ·

got a doubt.

well won't A and b remain where they are ? triangle is rotated abt AB no ?

then we've got to find the prependicular dist of O from AB that's all , else . try with options . dist formula . that's what flashing nothign else. :P

62
Lokesh Verma ·

yup srinath you are right.

but what if the point is shifted parallelly

I think even in finding the perpendicular distance, you will find points which are not the true rotation by 90 degree..

That is why i have taken the distance from the original A.

62
Lokesh Verma ·

@sky.. what is the paper folding method?

I cant think much.

39
Dr.House ·

hehehe bhaiyan its rorating the paper actually

62
Lokesh Verma ·

okie :)

1
Anurag Khandelwal ·

I'm getting ans C

1
Philip Calvert ·

seems quite correct ..

but bhaiyya A and B will still remain fixed naa...

62
Lokesh Verma ·

i m not moving A n B!

But I dont see a mistake in anurag's solution either :(

oh but i see a mistake in mine :P

1
skygirl ·

bhaiya, am sry ... came oline after a long time...

thats no method actually..

its my method to get answers.. :)

it helps many tyms in the xam hall ... there wid a few approximations of .1~.2 we get nearly a correct ans..

bad method... to do maths.. but... :P

1
skygirl ·

and thanx anurag !!

a great great great figure :)

that solves 75% of it :)

thanx :)

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