Question A circle with center C has the equation . The point A(3,-2) lies on the circle. a. Express the equation of the circle in the form b. i. Write down the coordinates of C. ii. Show that the circle has radius , where n is an integer. c. i. Find the equation of the tangent to the circle […]
Question The diagram shows a curve and a line which intersect at the points A, B and C. The curve has equation and the straight line has equation . The point B has coordinates (0,7). a. i. Show that the x-coordinates of the points A and […]
Question a. i. Express in the form where p and q are integers. ii. Hence write down the maximum value of . b. i. Factorise . ii. Sketch the curve with equation , stating the values of x where the curve crosses the x-axis and the value of […]
Question A curve has equation . a. Find: i. ; ii. b. The point on the curve where is P. i. Determine whether y is increasing or decreasing at P, giving a reason for your answer. ii. Find an equation of the tangent to the curve at […]
Question The point A has coordinates (-1,2) and the point B has coordinates (3,-5). a. i. Find the gradient of AB. ii. Hence find an equation of the line AB, giving your answer in the form , where p, q and r are integers. b. Midpoint of AB is M. i. Find the coordinates of M. ii. Find an equation […]