Question

Which is the correct answer


The distance between the points (2, 3) and (x, 0) is 3 units. Find "x"
a)2
b)3
c)-2
d)-3​

Answer 1

Step-by-step explanation:

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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} }d=

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

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

1

,y

1

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

2

,y

2

)=(x,0)

Distance d=3

Substitute the values,

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

(x−2)

2

+(0−3)

2

=3

Squaring both sides,

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

2

−4x+4+9=9

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

2

−4x+4=0

(x-2)^{2} =0(x−2)

2

=0

x = 2x=2

Therefore, the value of x is 2.