Coordinate Geometry Test - 6

Since,sign of point in 3rd quadrant            is (—,—),

And in 4th quadrant it is (+,—),

So,Ordinate of a point is -ve only in 3rd and 4th quadrant

The signs of abscissa and ordinate of a point in quadrant I are both +ve i.e. (+,+)

Abscissa means just the horizontal axis i.e. x axis. Ordinate means just the vertical acis i.e. y axis. 

x-corrdinate and y-corrdinate make a point. 

The signs of abscissa and ordinate of a point in quadrant II are (−,+)

The signs of abscissa and ordinate of a point in quadrant III are both —ve, 

i.e, in quadrant III co-ordinates Of point is (—,—).

In Cartesian plane ,if co-ordinate of any point P is P(x,y),then

X-coordinate is called abscissa of the point and,

Y-coordinate is called ordinate of the point.

The signs of abscissa and ordinate of a point in quadrant IV is (+,—)

Here we have, abscissa of A=2,

And abscissa of B= —3,

So,according to question,

(abscissa of A) – (abscissa of B)

=2 — (—3)

=5

From the given data we have,

Abscissa of P=3 and,

Ordinate of Q=—4,

So,according to question,

(abscissa of P) – (ordinate of Q) 

= 3 — (–4)

=7

When we put x=2 in the given equation,

Then, y = (3×2)–4

      y =6–4 = 2, so point is (2 ,2)satisfied the given equation, 

Hence point (2,2) will lie on the               line y=3x—4

Let us put x=3 in the give equation,

Then, y=2(3)+3

y=6+3=9

So, the point will be (3,9)

For x=3, y=9. But in the given option, y=7

So, the given point (3,7) will not lie on the line y=2x+3.

We have a point (0,0) i.e. origin.

A point (4,0) whose y-coordinate is zero.

So, this point is having 4 units in x-axis=base (let)

A point (0,6) i.e. 6 units in y-axis=height of a trianglea

So,these point forms a right angle triangle

so, Area of a triangle =½× Base × Height

Area of a triangle = ½×6×4 =12 sq. units