Question

11. Given that (a, 2a) lies on the line y/2= 3x - 6, find the value of a.
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Answer 1

$\underline{\boxed{\bold{Question}}}$  

↠ Given that (a, 2a) lies on the line y/2= 3x - 6, find the value of a.

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$\underline{\boxed{\bold{Important\;Information}}}$  

↠ Line is a geometrical 1-D shape that is made of infinity many points.

It can be classified under certain categories on the basis of end points as follows :

➢ Line segment : Has two end points.

➢ Ray : Has one end points.

➢ Line : Has zero(0) end points.

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$\underline{\boxed{\bold{Given}}}$

↠ Point : (a , 2a)

↠ Equation of line : y/2= 3x - 6

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$\underline{\boxed{\bold{Answer}}}$

Let's Start !

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✰ Every point lying on line satisfies equation of that line. So lets satisfy point (a , 2a) in the it's equation : y/2= 3x - 6

Equation : y/2= 3x - 6

Here,

⇨ x = a

⇨ y = 2a

$\Longrightarrow \frac{y}{2} = 3x - 6$

$\Longrightarrow \frac{(2a)}{2} = 3(a) - 6$

$\Longrightarrow a = 3a - 6$

$\Longrightarrow a - 3a = - 6$

$\Longrightarrow - 2a = - 6$

$\boxed{\red{ \Longrightarrow a = 3 }}$

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$\boxed{\boxed{\bold{\therefore Value\;of\; "a" = 3}}}$

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Hope this helps u.../

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