Hits: 36
Hits: 36 Question A curve has equation and a line has equation , where k is a constant. a. Show that the x-coordinate of any point of intersection of the curve and the line satisfies the equation b. Given that the line and the curve do not intersect:. i. Show […]
Hits: 31 Question a. Sketch the curve with equation . b. The polynomial is given by . i. Find the remainder when is divided by . ii. Use the Factor Theorem to show that is a factor of . iii. Express in the form , where B and c are integers. iv. Hence show that the equation has exactly one real root and state its […]
Hits: 22 Question a. Express in the form , where p and q are rational numbers. b. A curve has equation . i. Use the result from part (a) to write down the coordinates of the vertex of the curve. ii. State the equation of the line of symmetry of the curve. c. The curve with equation is translated by vector . Find the […]
Hits: 45 Question A circle with center C has the equation . a. Express this equation in the form b. i. State the coordinates of C. ii. Find the radius of the circle, giving your answer in the form . c. i. The point P with coordinates (4,k) lies on the circle. Find the possible values of k. […]