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Question

If bax3dx=0 and bax2dx=23, then what are the values of a and b respectively?

A
1,1
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B
1,1
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C
0,0
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D
2,2
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Solution

The correct option is A 1,1
from given equation , we can get

b4a4=0(ba)(b+a)(b2+a2)=0...............(1)

and b3a33=23b3a3=2(ba)(b2+ab+a2)=2...............(2)

From (2) we can see that (ba) is not equal to 0 and (b2+a2) cannot be zero as it is always positive in (1)

so, in (1) we can see that (b+a)=0a=b

Putting a=b in (2)
2bb2=2b=1 or 1

so. a=1 or 1

Therefore, Answer is A

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