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Hits: 13 Question Solve each of the following inequalities: a. b. . Solution a. b. We solve the following equation to find critical values of ; Now we have two options; Hence the critical points on the curve for the given condition are & . Standard form of quadratic equation is; The graph of quadratic […]
Hits: 57 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 […]
Hits: 34 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 […]
Hits: 26 Question The polynomial is given by . where c and d are integers. a. Given that is a factor of show that b. The remainder when is divided by is 65. Obtain a function in c and d. c. Use equations from parts (a) and (b) to find the value of c and the value of d. Solution a. […]
Hits: 39 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 […]
Hits: 42 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 […]
Hits: 27 Question A rectangle has length cm and area cm2. Find the width of the rectangle, giving your answer in the form cm, where m and n are integers. Solution Expression for the area of the rectangle is; For the given case; If we need a rational number in the denominator of a fraction, we need to follow procedure of […]
Hits: 49 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 […]