AB is the diameter of a circle. A is (1,3) and B is (7,-1).

(a) Find the equation of the circle. [3]

(b) The line y + 5x = 8 cuts the circle at A and again at a second point D. Calculate the coordinates of D. [4]

(c) Find the area of triangle ABD. [3]

step-by-step explanation:

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step-by-step explanation:

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation:

step-by-step explanation:

graph using a few selected

x         y

-1       15

0         6

1         2.4

2       0.96