Short Note

Find the value of *a* so that the point (3, *a*) lies on the line represented by 2*x* − 3*y** *+ 5 = 0

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#### Solution

If a point `(x_1 , y_1)` is said lie on a line represented by ax + by + c = 0 , then the given equation of the line should hold true when the values of the co-ordinates of the points are substituted in it.

Here it is said that the point (3*, a*) lies on the line represented by the equation 2x - 3y + 5 = 0 .

Substituting the co-ordinates of the values in the equation of the line we have,

2x - 3y + 5 = 0

2(3) - 3(a) + 5 = 0

3a = 6 + 5

3a = 11

`a = 11/3`

Thus the value of ‘*a*’ satisfying the given conditions is `a = 11/3` .

Concept: Coordinate Geometry

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