The angle at which curve y - ke kx intersects the y axis is A- tan -1k2B- -1k2C- sin -11-k2D- None of these

The correct option is B y = ke^kx cuts the y axis at x = 0 dy/dx = k^2 e^kx at x = 0 dy/dx = k^2 α = tan^ 1(k^2) this is angle made by x axis,so angle mad ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Equation of Tangent at a Point (x,y) in Terms of f'(x)

The angle at ...

Question

The angle at which curve $y = k e^{k x}$ intersects the y axis is

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
y = $k e^{k x}$ cuts the y-axis at x = 0
$\frac{d y}{d x} = k^{2} e^{k x}$
at x = 0
$\frac{d y}{d x} = k^{2}$
$α = t a n^{- 1} (k^{2})$ this is angle made by x- axis,so angle made by y-axis is $\frac{π}{2} - t a n^{- 1} (k^{2})$
or $c o t^{- 1} (k^{2})$

Suggest Corrections

Similar questions

Q. The angle at which curve

y = k e^{k x}

intersects the y axis is

Q. The angle at which the curve

y = k e^{k x}

intersects the y - axis is

Q. The acute angles between the curves

y = | x^{2} - 3 |

at their points of intersection is

Q. The equation of the tangent to the curve

y = 1 - e^{\frac{x}{2}}

at the point of intersection with the y-axis is

Q. The angle at which the curve

y = x^{2}

and the curve

x = \frac{5}{3} cos t, y = \frac{5}{4} sin t

intersect is :

Join BYJU'S Learning Program

The angle at which curve y = kekx intersects the y axis is

The correct option is B y = kekx cuts the y-axis at x = 0 dydx=k2ekx at x = 0 dydx=k2 α=tan−1(k2) this is angle made by x- axis,so angle made by y-axis is π2−tan−1(k2) or cot−1(k2)

The angle at which curve $y = k e^{k x}$ intersects the y axis is

The correct option is B
y = $k e^{k x}$ cuts the y-axis at x = 0
$\frac{d y}{d x} = k^{2} e^{k x}$
at x = 0
$\frac{d y}{d x} = k^{2}$
$α = t a n^{- 1} (k^{2})$ this is angle made by x- axis,so angle made by y-axis is $\frac{π}{2} - t a n^{- 1} (k^{2})$
or $c o t^{- 1} (k^{2})$