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Given that (a, 2a) lies on the line y2=3x6\dfrac{y}{2} = 3x - 6, find the value of a.

Straight Line Eq

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Answer

Since, (a, 2a) lies on y2=3x6\dfrac{y}{2} = 3x - 6 hence, the points must satisfy the equation.

2a2=3a6a=3a63aa=62a=6a=3.\Rightarrow \dfrac{2a}{2} = 3a - 6 \\[1em] \Rightarrow a = 3a - 6 \\[1em] \Rightarrow 3a - a = 6 \\[1em] \Rightarrow 2a = 6 \\[1em] \Rightarrow a = 3.

Hence, the value of a = 3.

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