Question

Find the coordinates of the point (a) Whose abscissa equals the ordinate and whose distance from 'y' -axis is 3 units in the positive direction of 'x' -axis. (b) Whose abscissa is '-4' and lies on 'x' -axis.(c) Whose ordinate is 5 and lies on 'y' -axis​

Answer 1

Answer:

a) (3 , 3)

b) (-4 , 0)

c) (0 , 5)

Step-by-step explanation:

Solving for 1st question(a) :-

Given,

abscissa = ordinate

Distance from y - axis is '3' units in the positive direction of 'x - axis'

To Find :-

The co-ordinates of the point

Solution :-

Let, the co-ordinates of the point be :- (x , x)

[ ∴ As they gave that abscissa and ordinate are equal]

The distance from the y-axis = 3units

→ Value of 'x'-co-ordinates(abscissa) = 3

As abscissa is '3' then automatically value of ordinate will be also '3'

The co-ordinates of the point = (x , x) = (3 , 3).

Solving second question(b) :-

Given,

Value of abscissa = - 4

The point lies on the x-axis

To Find :-

The co-ordinates of the point.

Solution :-

As they said that the point lies on the x-axis then there won't be the value of y co-ordinates(ordinate) i.e value of ordinate is zero in x-axis.

∴ The co-ordinate of a point on x-axis = (x , 0)

Given value of 'x' = - 4

∴ The co-ordinates of the point = (-4 , 0)

Solving third question(c) :-

Given,

Ordinate of a point = 5

The point lies on y - axis

To Find :-

Co-ordinates of the point.

Solution :-

As they said that the point lies on the y-axis then there won't be the value of x co-ordinates(abscissa) i.e value of abscissa is zero in y-axis.

∴ The co-ordinate of the point on y-axis = (0 , y)

As they gave the value of ordinate = 5

∴ The co-ordinates of the point = (0 , 5).