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

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

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

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

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

QUESTION 01 The diagram shows a trapezium \(ABCD\) in which the coordinates of \(A\), \(B\) and \(C\) are \((4,0)\),...