Identify whether each of the following equations has a unique solution, no solution, or infinitely many solutions. there is more
than 1 question here
2 answers:
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Answer:
Option B.
Step-by-step explanation:
we know that
If a ordered pair lie on the circle. then the ordered pair must satisfy the equation of the circle
step 1
Find the equation of the circle
we know that
The equation of the circle in center radius form is equal to
where
r is the radius of the circle
(h,k) is the center of the circle
substitute the values
step 2
Verify each case
case A)
substitute the value of in the equation of the circle and then compare the results
------> is not true
therefore
the ordered pair Q not lie on the circle
case B)
substitute the value of in the equation of the circle and then compare the results
------> is true
therefore
the ordered pair R lie on the circle
case C)
substitute the value of in the equation of the circle and then compare the results
------> is not true
therefore
the ordered pair S not lie on the circle
case D)
substitute the value of in the equation of the circle and then compare the results
------> is not true
therefore
the ordered pair T not lie on the circle