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Question

If x has a non zero value, then match the value of x in each case.

A
4
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B
22
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C
6
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Solution


Since the abscissa of both P and Q are equal,
x = distance between P and Q = difference between ordinates of P and Q.

x=62=4


Since x is the distance between P and Q,
by distance formula, distance
=(x2x1)2+(y2y1)2

=(42)2+(13)2 = 4+4= 22
x=22


By distance formula, 32=(3x)2+(14)2
18=96x+x2+9
x2=6x
x26x=0
x(x6)=0
Either x=0 or x=6
Given x has a non zero value
x=6

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