How many extreme values does sin 4x + 2x, where 0 < x < π/2 have?

What is the distance of the point (1,2,0) from yz-plane is :

If a line OP of length r (where ‘O’ is the origin) makes an angle…

If the distance between the points (7,1,-3) and (λ,5,λ) is 13 units, then what is…

If the points (2,4), (2,6) and (2+√3,k) are the vertices of an equilateral triangle, then…

The equation of a straight line which makes an angle 45° with the x-axis with…