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Differential Calculus

Blazing goIITian

Joined:	28 Aug 2007
Post:	415

18 Dec 2008 21:00:26 IST

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378

APPLICATIONS OF DERIVATIVES........................

None

PLS SOLVE THIS STEP BY STEP-------

at what points of the ellipse does the ordinate decrease at the same rate at which the abscissa increase?

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ankur gupta

Scorching goIITian

Joined: 10 Mar 2007

Posts: 257

18 Dec 2008 21:08:52 IST

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the pts at which ordinate decrease at the same rate at which the absicssa increase ,
dy/dx = -1

now differentiating the ellipse equation
32x + 18y.(dy/dx)=0
put dy/dx=-1 to get those pts.

so , we get 18y=32x
9y=16x
put this in the ellipse equation ,
we get the pt (3,16/3) and (-3 , -16/3)
hope u gt it ...........

Sagar Saxena

Forum Expert

Joined: 8 Oct 2008

Posts: 7221

19 Dec 2008 20:39:12 IST

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difrentiating the given equation than...WRT x

32x + 18y.(dy/dx)=0..

the pts at which ordinate decrease at the same rate at which the absicssa increase ,

dy/dx = -1

we have taken negative bcoz it is deacreasing,negative signifies decrease...

16 x = 9 y..(1)

solve two equation for the value of x,y

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