Question

For points (2,3) and (x,0), distance is 3. then, x is equal to coordinate geometry

Answer 1

The value of x is "2".

Step-by-step explanation:

Here, $(x_{1}=2,y_{1}=3)$ and $(x_{2}=x,y_{2}=0)$

And distance = 3

To find, x =?

We know that,

Distance formula =$\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1})^{2} }$

∴$\sqrt{(x -2)^{2}+(0-3)^{2}}=3$

Squaring both sides, we get

$x^{2} -4x+4+9=9$

⇒ $x^{2} -4x+4= 0$

⇒$(x-2)^{2} =0$

∴ x = 2

Hence, the value of x is 2.

Answer 2

The value of x is 2.

Step-by-step explanation:

Given : For points (2,3) and (x,0), distance is 3.

To find : The value of x?

Solution :

Applying distance formula,

$d=\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1})^{2} }$

Here, $( x_{1},y_{1})=(2,3)$ and $(x_{2},y_{2})=(x,0)$

Distance d=3

Substitute the values,

$\sqrt{(x -2)^{2}+(0-3)^{2}}=3$

Squaring both sides,

$x^{2} -4x+4+9=9$

$x^{2} -4x+4= 0$

$(x-2)^{2} =0$

$x = 2$

Therefore, the value of x is 2.

#Learn more

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