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Question

If 2x=t+t2+4 and 3y=tt2+4 then the value of y when x=23, is ____.

A
2
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B
1
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C
1
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D
2
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Solution

The correct option is C 1
Let 2x=t+t2+4 ....(1)
3y=tt2+4 .....(2)
Adding eqn (1) and (2), we get
2x+3y=2t .....(3)
On substracting, we get
2x3y=2t2+4=2(2x+3y2)2+4 .... From (3)
(2x3y2)2=(2x+3y2)2+4
3xy=3xy+46xy=4
If x=23, then y=4×32×6=1

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