Direction: Consider the following for the items that follow:
A triangle ABC is inscribed in the circle x2 + y2 = 100. B and C have coordinates (6, 8) and (-8, 6) respectively.
If (a, b) is the centre and c is the radius of the circle $x^2 + y^2 + 2x + 6y + 1 = 0$, then what is the value of $a^2 + b^2 + c^2$?
Consider the following for the next two (02) items that follow:
The circle $x^2 + y^2 - 2x = 0$ is partitioned by line $y = x$ in two segments. Let $A_1, A_2$ be the areas of major and minor segments respectively.
What is the value of $A_1$?
The circle $x^2 + y^2 - 2x = 0$ is partitioned by line $y = x$ in two segments. Let $A_1, A_2$ be the areas of major and minor segments respectively.
What is the value of $\frac{2(A_1 + A_2)}{ A_1 - 3A_2}$?