Question

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 = ?​

Answer 1

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 :)