CBSE 2009 MATHEMATICS

THE AREA ENCLOSED BETWEEN y2=x AND THE LINE x+y=2.

me getting 7/6+something/2

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13 Answers

11
Subash ·

im getting 3/2

( dont worry i may be wrong)

1
KR ·

no worries !!

it was easier if one takes y-axis coordinates but i took x-coordinates

[270]

1
ANKIT MAHATO ·

getting 9/2 ... by method of entire rotation of graph by 90°anticlock wise ...
now the equations are x2 = y and y - x = 2
u can check that the area between the two curve is same in my graph and the graph of the original equation
now we can simply write the equation of area as
∫from -1 to 2 {(2+x) - x2 dx}
→ 2x + x2/2 - x3/3
→ put limits
→ 6 + 4/2 - 1/2 - 8/3 - 1/3
→ 3 + 3 /2
→ 9 / 2

1
KR ·

WHAT'S THE ANSWER THEN???[12]

1
KR ·

[269]

11
Subash ·

how can it have two answers :O

i think im correct :)

1
KR ·

hmmmmmmmm.........

[299]

y2=x.....

1
KR ·

@ankit

y2=x.....
or x2=y its y2=x.....

[123]

1
The Scorpion ·

well ankit... u tuk both d equations wronggg... so u ended up wid d correct answer...!!! :P

well, answer is 9/2... procedure is d same as ankit solved above... :)

P.S. : ankit... dun edit d posts to such a large extent... next 2-3 posts luk useless now...!!! dun repeat it buddy... :)

1
ANKIT MAHATO ·

@:-)& KR ... dude my both the equations are correct .. u haven't seen i have rotated the axes .. draw my graph and the original one .. u will see both enclose the same area ...
instead of the original equation i have written equivalent expressions ....

1
KR ·

what's its need
[46]

1
ANKIT MAHATO ·

kuch nahi yaar humko yeh method aasaan laga isi liye kiye .. ∫y dx humko jyada accha lagta hai ∫x dy se

1
KR ·

ok

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