The two curves `y=3^x` and `y=5^x`intersect at an angle

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.

If the curves y= a^(x) and y= b^(x) intersect at an angle alpha , then the value of tan alpha is-

If the curves y= a^(x) and y=e^(x) intersect at and angle alpha, " then " tan alpha equals

If the curve y=a^(x) and y=b^(x) intersect at angle alpha, then tan alpha=

If (-pi)/(2)lexle(pi)/(2) then the two curves y= cos x and y = sin 3x intersect at

The curves y=x^(2) and 6y=7-x^(3) intersect at the point (1, 1) at an angle :

The curves y=x^3, 6y=7-x^2 intersect at (1, 1) at an angle of

Prove that the curves "x"="y"^2 and "x y"="k" intersect at right angles if 8"k"^2=1.