Question

Determine the coordinates of a point whose abscissa is thrice its ordinate.
[Class 9 Co-odinate geometry (chapter-4)]

Answer 1

Answer:

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Answer 2

The coordinates of a point whose abscissa is thrice its ordinate are (x, x/3) or (3y, y).

Given:

The condition that abscissa is thrice its ordinate.

To Find:

Coordinates the point satisfying the given condition.

Solution:

In coordinate geometry, abscissa and ordinate are referred to as the x and y-axis respectively.

Let abscissa = x and ordinate = y

From our given condition,

abscissa = thrice the ordinate

x = 3y

⇒ x/3 = y

For x = 1, y = 3, for x = 2, y = 6,and so on.

⇒(1, 3), (2, 6), etc. are the points satisfying the given condition.

So, the general representation of a point whose abscissa is thrice its ordinate is (x, x/3) or (3y, y).

∴ The coordinates of a point whose abscissa is thrice its ordinate are (x, x/3) or (3y, y).

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