Trigonometric EquationHard
Question
The angle at which the curve y = kekx intersect the y-axis is/are -
Options
A.tan-1(k2)
B.cot-1(k2)
C.sin-1
D.sec-1
Solution
The curve y = k.ekx intersect the y- axis at the point (0,k) also 
= k2 = tan θ,
where θ, is the anlge made by the tangent with the x-axis.
∴ Angle made by the curve with the y-axis =
- θ
= - tan-1 k2 = cot-1k2 = sin-1 
= k2 = tan θ, where θ, is the anlge made by the tangent with the x-axis.
∴ Angle made by the curve with the y-axis =
- θ=
- tan-1 k2 = cot-1k2 = sin-1 Create a free account to view solution
View Solution FreeMore Trigonometric Equation Questions
Equation of the plane passing through the points and is :-...The values of x ∈ [−2π, 2π] such that , i = , is purely imaginary, are given by -...If $cotx = \frac{5}{12}$ for some $x \in \left( \pi,\frac{3\pi}{2} \right)$, then$$sin7x\left( cos\frac{13x}{2} + sin\fr...The normal to the curve x = a(cosθ + θ sinθ), y = a( sinθ - θ cosθ) at any point ′&#...Area bounded by y = 2x2 & y = will be (in square unit)...