we will select each options and then we verify it
(a)
we can see that circle is in first quadrant
so, it's center coordinates must be positive
both h and k should be positive
Here , h=2 but k=-3
so, this is FALSE
(B)
we can see that circle is in first quadrant
so, it's center coordinates must be positive
both h and k should be positive
Here , h=3 and k=4
so, this is TRUE
(C)
we can see that circle is in first quadrant
so, it's center coordinates must be positive
both h and k should be positive
Here , h=-3 and k=-4
so, this is FALSE
(D)
we can see that circle is in first quadrant
so, it's center coordinates must be positive
both h and k should be positive
Here , h=5 and k=5
so, this is TRUE
(E)
we can see that circle is in first quadrant
so, it's center coordinates must be positive
both h and k should be positive
Here , we have all terms positive
so, h and k must be negative here
so, this is FALSE
(E)
we can see that circle is in first quadrant
so, it's center coordinates must be positive
both h and k should be positive
Here , we have -4x and -6y
which will have h and k positive
so, this is TRUE
