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Question

If (p24p+5,2)=(2p3,|p2|), then the number of values of p is

A
0
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B
1
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C
2
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D
3
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Solution

The correct option is B 1
Here, p24p+5=2p3
p26p+8=0
p24p2p+8=0
(p4)(p2)=0
p=2,4 ...(1)
Also,
2=|p2|
p=0,4 ...(2)

Value of p common from (1) and (2) is p=4
There is only one value of p

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