Application of DerivativeHard
Question
The slope of the tangent to the curve xy + ax - by = 0 at the point (1, 1) is 2, then values of a and b are respectively-
Options
A.1, 2
B.2, 1
C.3, 5
D.None of these
Solution
eq of curve xy + ax - by = 0
slope of tangent at (1, 1) is
x.
+ y + a - b . 
= 0
∴ -
= 2
So, 2b - a = 3 ..... (1)
∵ (1, 1) lies on curve xy + ax - by = 0
∴ a - b = -1 ..... (2)
from (1) & (2)
a = 1, b = 2
slope of tangent at (1, 1) is
x.
+ y + a - b . = 0∴ -
= 2So, 2b - a = 3 ..... (1)
∵ (1, 1) lies on curve xy + ax - by = 0
∴ a - b = -1 ..... (2)
from (1) & (2)
a = 1, b = 2
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