Angle between two curves: how it is equal to angle between tangents

Angle between two planes

Angle between two lines

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.

A pair of tangent is drawn to a circle in such way that angle between these two tangents is 60. Then the angle between the radii drawn from the these two points of contact will be ......

In the following figure, if the angle between two chords AB and AC is 65^@ , then the angle between two tangents which are drawn at B and C is __________

If the angle between two radii of a circle is 130^(@) , the angle between the tangents at the ends of the radii is…….

Let y=e^(x^2) and y=e^(x^2) sinx be two given curves. Then the angle between the tangents to the curves any point of their intersectons is

Let y=e^(x^(2))" and "y=e^(x^(2))sinx be two given curves. Then the angle between the tangents to the curves at any point of their intersection is-

Let y=e^(x^(2)) and y=e^(x^(2))sinx be two given curves. Then the angle between the tangents to the curves at any point of their intersection is

If the angle between two radii of a circle is 130^(@) then the angle between the tangents at the ends of the radii is