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

A Level Math Paper 1 Coordinate geometry 08

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...

A Level Math Paper 1 Coordinate geometry 09

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...

A Level Math Paper 1 Coordinate geometry 10

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)...

A Level Math Paper 1 Coordinate geometry 11

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)...

QUESTION 12 The coordinates of the points \(A\) and \(B\) are \((-1,-2)\) and \((7, 4)\) respectively. (a) Find the...

A Level Math Paper 1 Coordinate geometry 12

QUESTION 12 The coordinates of the points \(A\) and \(B\) are \((-1,-2)\) and \((7, 4)\) respectively. (a) Find the...

QUESTION 13 A diameter of a circle \(C_{1}\) has end-points at \((-3,-5)\) and \((7,3)\). (a) Find an equation of...

A Level Math Paper 1 Coordinate geometry 13

QUESTION 13 A diameter of a circle \(C_{1}\) has end-points at \((-3,-5)\) and \((7,3)\). (a) Find an equation of...

QUESTION 14 The line \(y=2x+5\) intersects the circle with equation \(x^{2}+y^{2}=20\) at \(A\) and \(B\). (a) Find the coordinates...

A Level Math Paper 1 Coordinate geometry 14

QUESTION 14 The line \(y=2x+5\) intersects the circle with equation \(x^{2}+y^{2}=20\) at \(A\) and \(B\). (a) Find the coordinates...

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

A Level Math Paper 1 Coordinate geometry 01

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

QUESTION 07 (i) Express \(9x^{2}-6x+6\) in the form \((ax+b)^{2}+c\), where \(a\), \(b\) and \(c\) are constants.   The...

A Level Math Paper 1 Functions 07

QUESTION 07 (i) Express \(9x^{2}-6x+6\) in the form \((ax+b)^{2}+c\), where \(a\), \(b\) and \(c\) are constants.   The...

QUESTION 08 Functions \(f\) and \(g\) are defined by: \(f : x \rightarrow \dfrac{3}{2x+1}\) for \(x > 0\) \(g...

A Level Math Paper 1 Functions 08

QUESTION 08 Functions \(f\) and \(g\) are defined by: \(f : x \rightarrow \dfrac{3}{2x+1}\) for \(x > 0\) \(g...