cartesian to polar coordinate

Which of the following represents the relation between Cartesian and Polar coordinates? => x = r cos θ; y = r sin θ; r = x 2 - y 2 or x = r sin θ; y = r cos θ or x = r cos θ; y = r sin θ; r = x 2 + y 2 or None of the above..

In a Rectangular Cartesian System of coordinates the position of a point in a plane is determined by an ordered pair whose elements give the distances from the intersecting straight lines at right angles to each other. These lines are called the axes. The vertical line is call..

Polar axis of a polar coordinate system is a ------------. => line segment or ray or line or directed line segment..

What is the number of coordinates of a point in a polar coordinate system? => Infinite or 4 or 3 or 1..

From the polar coordinate system shown, the coordinates of P are => (7, 60 o ) or (5, 60 o ) or (4, 60 o ) or (6, 100 o )..

z = r{cos q +isin q } is called the polar form of the complex number. x + iy (which is in the cartesian form) where is called the modulus of the complex number z denoted by |z| and q = tan -1 y/x is called the amplitude or argument of the complex number z denot..

Let z = x+iy denote the point P(x,y) in the xy plane. Then from the figure, we have z = r{cos q +isin q } is called the polar form of the complex number. x + iy (which is in the cartesian form) where..

Change the polar coordinates Q (- 3, - 270°) to rectangular coordinates. => Q (- 3, 0) or Q (0, - 3) or Q (0, 3) or Q (3, 0)..

Change the rectangular coordinates P(0, 5) to polar coordinates. => P(5, 270°) or P(0, 90°) or P(5, 90°) or P(- 5, 90°)..

Change the rectangular coordinates P (3, - 4) to polar coordinates. => P (- 1, - 53°) or P (5, 307°) or P (7, 307°) or P (- 5, 307°)..