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 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 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...

QUESTION 08 Find the set of values of \(a\) for which the curve \(y=-\dfrac{2}{x}\) and the straight line \(y=ax+3a\)...

QUESTION 09 A line has equation \(y=2x-7\) and a curve has equation \(y=x^{2}-4x+c\), where \(c\) is a constant. Find...

QUESTION 10 The diagram shows the curve with equation \(y=4x^{\frac{1}{2}}\). (i) The straight line with equation \(y=x+3\) intersects the...

QUESTION 11 A curve has equation \(y=x^{2}-x+3\) and a line has equation \(y=3x+a\), where \(a\) is a constant. (i)...