QUESTION 18 The equation of a circle is \(x^{2}+y^{2}-4x+6y-77=0\). (a) Find the x-coordinates of the points \(A\) and \(B\)...

QUESTION 15 A circle with centre \((5, 2)\) passes through the point \((7,5)\). (a) Find an equation of the...

QUESTION 16 Points \(A (-2,3)\), \(B (3, 0)\) and \(C (6,5)\) lie on the circumference of a circle with...

QUESTION 17 The points \(A (7, 1)\), \(B (7, 9)\) and \(C(1,9)\) are on the circumference of a circle....

QUESTION 02 The diagram shows a kite \(OABC\) in which \(AC\) is the line of symmetry. The coordinates of...

QUESTION 03 Two points have coordinates \(A(5,7)\) and \(B(9,-1)\). (i) Find the equation of the perpendicular bisector of \(AB\)....

QUESTION 04 Points \(A\), \(B\) and \(C\) have coordinates \(A(-3, 7)\), \(B(5, 1)\) and \(C(-1,k)\) where \(k\) is a...

QUESTION 05 Triangle \(ABC\) has vertices at \(A(-2,-1)\), \(B(4, 6)\) and \(C(6,-3)\). (i) Show that triangle \(ABC\) is isosceles...

QUESTION 06 A straight line cuts the positive x-axis at \(A\) and the positive y-axis at \(B(0, 2)\). Angle...

QUESTION 07 The line \(4y=x+c\), where \(c\) is a constant, is a tangent to the curve \(y^{2}=x+3\) at the...