Question

1. Number of origins in a cartesian plane
2. x-coordinate of any point on x-axis can be _______
3. Any of the coordinate axes is a straight ________
4. The ordinate of the point (1,9) is ________

Answer 1

$\sf \fcolorbox{t}{yellow}{1)Number \: of \: origins \: in \: a \: cartesian \: plane}$

$\color{hotpink}{\underline {\underline {\textsf{\textbf{answer}: - }}}}$

In three-dimensional space, the Cartesian coordinate system is based on three mutually perpendicular coordinate axes: the x-axis, the y-axis, and the z-axis, illustrated below. The three axes intersect at the point called the origin.

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$\sf \fcolorbox{f}{yellow}{2)x-coordinate of any point on x-axis can be}$

$\color{hotpink}{\underline {\underline {\textsf{\textbf{answer}: - }}}}$

Since every point on the x - axis has no distance (zero distance) from the x - axis, therefore, the y - coordinate of every point lying on the x - axis is always zero. Thus, the coordinates of any point on the x - axis are of the form (x, 0), where x is the distance of the point from the y - axis.

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$\sf \fcolorbox{g}{yellow} {3)Any of the coordinate axes is a straight}$

$\color{hotpink}{\underline {\underline {\textsf{\textbf{answer}: - }}}}$

The core concept is that on a 2-dimensional (Euclidean) plane, any point can be represented by a pair of real numbers, using two non-parallel straight lines. The point where these two non-parallel reference lines meet is termed the origin of the reference axis. ... Such axes are called Rectangular Axes.

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$\sf \color{hotpink}{\underline{\underline{hope \: it \: helps ࿐}}}$