# Find the Value of a So that the Point (3, A) Lies on the Line Represented by 2x − 3y + 5 = 0 - Mathematics

Short Note

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

#### 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 .

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 6 Co-Ordinate Geometry
Q 21 | Page 62