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The number of ordered pairs (x,y) of rea...

The number of ordered pairs (x,y) of real numbers that satisfy the simultaneous equations
`x+y^(2)=x^(2)+y=12` is

A

0

B

1

C

2

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
`x+y^(2)=x^(2)+y=12`
`"curve"(1)x+y^(2)=12" ""curve"(2)x^(2)+y=12`
`y^(2)=-(x-12)" "x^(2)=-(y-12)`
Intersection on x-axis (2,0) Intersection on x-axis `=(+-sqrt(12),0)`
Intersection on y-zxis `(0,+-sqrt(12))" "Intersection on y-axis =(0,12)`

four intersection
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