Question 7 A circle, C1, passes through the points A(4, 0) and B(0,8). Its centre, P, lies on the line
y = x + 1.
(a) (i) Show that the centre of the circle, Ci is (4, 5).
(ii) Hence find the equation of the circle, C.
(b) A second circle, C2, with the equation x2 + y2 + ax + by + 32 = 0, has the same
centre, P, as circle C.
(i) Find the value of a and of b.
(ii) Show that the circle C2 lies within the circle Ci.​

Sara has been reading about different types of financial grants, including federal pell grants, academic competitiveness grants, smart grants, and teach grants. which statement about these grants is true? filling out a fafsa will not her apply for these grants. she will not have to pay back any funds she receives from these grants. these grants only go to students with less than a 3.0 gpa. she will have to pay back all the funds she receives from these grants.

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Someone which statements are true? check all that apply.