# State the abscissa and ordinate of the following point and describe the position of each point

$

\left( i \right)P\left( {8,8} \right) \\

\left( {ii} \right)P\left( {6, - 8} \right) \\

$

Last updated date: 14th Mar 2023

•

Total views: 304.5k

•

Views today: 5.84k

Answer

Verified

304.5k+ views

Hint: Project the points on the cartesian plane. From the point draw lines perpendicular to the axes and calculate the distance from origin.

Complete step-by-step answer:

Given the two points:

$

P\left( {8,8} \right) \\

Q\left( {6, - 8} \right) \\

$

We need to find the abscissa and ordinate of the above points and describe the position of each point.

Abscissa is the distance from a point to the vertical or y -axis, measured parallel to the horizontal or x -axis. It is also known as the x -coordinate.

Ordinate is the distance from a point to the horizontal or x -axis, measured parallel to the vertical or y -axis. It is also known as the y -coordinate.

Now we plot the point on the cartesian plane. This describes the position of points.

From the cartesian plane, by projecting the point (A) and (B) on x and y axes, we get the following data.

The distance of point (P) to the vertical or y -axis, measured parallel to the horizontal or x -axis is 8 units. Hence abscissa for point (P) is 8 units.

The distance of point (P) to the horizontal or x -axis, measured parallel to the vertical or y -axis is 8 units. Hence the ordinate for point (P) is 8 units.

Similarly, the distance of point (Q) to the vertical or y -axis, measured parallel to the horizontal or x -axis is 6 units. Hence abscissa for point (Q) is 6 units.

And the distance of point (Q) to the horizontal or x -axis, measured parallel to the vertical or y -axis is 8 units. Since it lies in the fourth quadrant, the ordinate for point (Q) is -8 units.

Therefore, for point $P\left( {8,8} \right)$,abscissa = 8 units and ordinate = 8 units, for point $Q\left( {6, - 8} \right)$ , abscissa = 6 units and ordinate = -8 units.

Note: For the problems like above the points should always be projected on the cartesian plane. The sign of the abscissa and ordinate depends upon the quadrant in which the point lies in the cartesian plane.

Complete step-by-step answer:

Given the two points:

$

P\left( {8,8} \right) \\

Q\left( {6, - 8} \right) \\

$

We need to find the abscissa and ordinate of the above points and describe the position of each point.

Abscissa is the distance from a point to the vertical or y -axis, measured parallel to the horizontal or x -axis. It is also known as the x -coordinate.

Ordinate is the distance from a point to the horizontal or x -axis, measured parallel to the vertical or y -axis. It is also known as the y -coordinate.

Now we plot the point on the cartesian plane. This describes the position of points.

From the cartesian plane, by projecting the point (A) and (B) on x and y axes, we get the following data.

The distance of point (P) to the vertical or y -axis, measured parallel to the horizontal or x -axis is 8 units. Hence abscissa for point (P) is 8 units.

The distance of point (P) to the horizontal or x -axis, measured parallel to the vertical or y -axis is 8 units. Hence the ordinate for point (P) is 8 units.

Similarly, the distance of point (Q) to the vertical or y -axis, measured parallel to the horizontal or x -axis is 6 units. Hence abscissa for point (Q) is 6 units.

And the distance of point (Q) to the horizontal or x -axis, measured parallel to the vertical or y -axis is 8 units. Since it lies in the fourth quadrant, the ordinate for point (Q) is -8 units.

Therefore, for point $P\left( {8,8} \right)$,abscissa = 8 units and ordinate = 8 units, for point $Q\left( {6, - 8} \right)$ , abscissa = 6 units and ordinate = -8 units.

Note: For the problems like above the points should always be projected on the cartesian plane. The sign of the abscissa and ordinate depends upon the quadrant in which the point lies in the cartesian plane.

Recently Updated Pages

If a spring has a period T and is cut into the n equal class 11 physics CBSE

A planet moves around the sun in nearly circular orbit class 11 physics CBSE

In any triangle AB2 BC4 CA3 and D is the midpoint of class 11 maths JEE_Main

In a Delta ABC 2asin dfracAB+C2 is equal to IIT Screening class 11 maths JEE_Main

If in aDelta ABCangle A 45circ angle C 60circ then class 11 maths JEE_Main

If in a triangle rmABC side a sqrt 3 + 1rmcm and angle class 11 maths JEE_Main

Trending doubts

Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write a letter to the principal requesting him to grant class 10 english CBSE

List out three methods of soil conservation

Epipetalous and syngenesious stamens occur in aSolanaceae class 11 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

A Short Paragraph on our Country India