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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Quad-erratic!!!!!!!!
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sankydreams (1005)

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Rates assured, plz solve :
1) Show that no real values of x and y other than 4 and 4 respectively will satisfy the eqn x2 - xy + y2 = 4(x + y - 4).
2) Find 'a' for which         x2 - x + a - 3 < 0       for aleast one negative x.
Plz give detailed solutions...
 

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sankydreams (1005)

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waiting,plz reply...

Put your hand on a stove for a minute and it seems like an hour. Sit with that special girl for an hour and it seems like a minute. That's relativity.
-Albert Einstein

Generally people who take the piss out of other people hang around in groups of five, because they have a fifth of a personality each.
- Eddie Izzard

It's my life
And it's now or never
I ain't gonna live forever
I just wanna live while I'm alive
-Bon Jovi

By the time a son realizes that his father was probably right, he has a son who thinks he is wrong.
-Anonymous
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me (120)

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Q-1

rewrite as ---- x^2 - (y+4)x+ y^2 - 4y + 16=0

D=(y+4)^2 - 4(y^2 - 4y + 16)
=-3(y-4)^2

now D>=0

or -3(y-4)^2>=0 hence y=4

similarly x=4
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me (120)

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Q-2

above funcion(F) is decreacing in -infinty to 1/2

hence F(x)>F(0) for x less than 0

hence if F has to be <0 for any -ve x then F(0) has to be < 0

we get a-3<0

or a<3
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