if the tangent lines to the curve y=f(X) form angles π/3,π/4 with OX at the points X=a , X=b respectively then integration of limit extends from a to b f'' (X) DX = ?
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Answer:
Correct option is
D
a
x
+
b
y
=1
Given equation of curve is
y=be
−x/a
Let P(0,y
1
) be the point where tangent to curve crosses y-axis .
⇒y
1
=b
So, the point P is (0,b)
dx
dy
=−
a
y
Slope of tangent at P(0,b) is −
a
b
Equation of tangent through P(0,b) is
y−b=−
a
b
(x−0)
⇒bx+ay=ab
a
x
+
b
y
=1
Step-by-step explanation:
hope its helps :)
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