Question

draw the graph of 3x+2y= 0 and 2x-3y=0 what is the point of intersection of two lines represent the above equation

Answer 1

the point of intersection is (0,0).
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Answer 2

The given straight lines are

3x + 2y = 0 ..... (i)

2x - 3y = 0 ..... (ii)

Let us solve the given two equations first to find their point of intersection.

Multiplying (i) by 2 and (ii) by 3, we get:

6x + 4y = 0

6x - 9y = 0

On subtraction, we get:

5y = 0

i.e., y = 0 and this gives x = 0.

So the point of intersection is (0, 0).

Therefore the point of intersection of the two lines represents the origin in two dimensions of Cartesian Coordinate System.

[ Refer to the given attachment. ]

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