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The point of intersection of the curve w...

The point of intersection of the curve whose parametrix equations are `x=t^(2)+1, y=2t" and " x=2s, y=2/s,` is given by

A

(1, -3)

B

(2, 2)

C

(-2, 4)

D

(1, 2)

Text Solution

Verified by Experts

The correct Answer is:
B
The Cartesian equations of the curves are `4x=y^(2)+4" and " xy=4`
`rArr" "16=y^(3)+4y" [On eliminating x]"`
`rArr" "(y-2)(y^(2)+2y+8)=0rArry=2`
Putting y = 2 in xy = 4, we get x = 2
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