The curve `y=2e^(2x)` intersect the `y`-axis at an angle `cot^(-1)|(8n-4)/3|` then the positive value of `n` is

The angle at which the curve y = (a+1)e^(ax) intersects y-axis is

Show that the curves y = 2^(x) and y = 5^(x) intersect at an angle tan^(-1) |("1n ((5)/(2)))/(1 + 1n 2 1n 5)| . Note Angle between two curves is the angle between their tangents at the point of intersection.

Find the angle at which the curve y=K e^(K x) intersects the y-axis.

Find the angle at which the curve y=K e^(K x) intersects the y-axis.

Find the angle at which the curve y=K e^(K x) intersects the y-axis.

Find the angle at which the curve y=K e^(K x) intersects the y-axis.

Find the angle at which the curve y=K e^(K x) intersects the y-axis.

The angle between the curve 2y=e^(-x/2) and the y - axis is

If the tangent to the curve y= e^x at a point (c, e^c) and the normal to the parabola, y^2 = 4x at the point (1,2) intersect at the same point on the x-axis then the value of c is ____________.

If the curves (x^(2))/(a^(2)) + (y^(2))/(12) = 1 and y^(3) = 8x intersect at right angles, then the value of a^(2) is equal to