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Q.

The two diagonally opposite vertices of a square are (6, 6) and (0, 0). Find the point which lies on X-axis.


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a

(6, 0)

b

(0, 6)

c

(6, 6)

d

None 

answer is A.

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Detailed Solution

Our square OABC has equal sides, and we are aware of this.
Therefore,
OA=AB=BC=OC.... (Square Sides)
Question ImageBy distance formula the length of AB can be given as,,
AB=(6-x)2+(0-6)2 
6=(6-x)2+(0-6)2 
On squaring both sides,
36=(6-x)2+36 
x=6 
So, the x-axis point can be given as A=(6,0).
Thus, option 1 is correct.
 
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