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Question

Find the values of a and b it the slope of the tangent to the curve xy+ax+by=2 at (1,1) is 2.

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Solution

A] xdydx+y+a+bdydx=0
& dydx=2
Now,
2×+1+a+2b=0
3+a+2b=0
a+2b=3 ---(1)
Given (1,1) so,
1+a+b=2
a+b=1 ---(2)
solve (1 ) & (2)
a+2b=3 a4=1
a+b=2 a=5
- - -
____________
b=4
a=5,b=4

1188848_1293830_ans_a75ec498ecfa49f3817da8e319fa646f.jpg

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