Question The trapezium ABCD is shown below. The line AB has equation and DC is parallel to AB. a. Find the gradient of AB. b. The point D has coordinates . i. Find an equation of the line DC. ii. The angle BAD is a right angle. Find an equation of the line AD, giving your answer in the form […]
Question The curve with equation is sketched below. a. i. Find the gradient of the curve with equation at the point A. ii. Hence find the equation of the normal to the curve at the point A, giving your answer in the form , where p and q are integers. b. i. Find the value of ii. Hence determine […]
Question The triangle ABC has vertices A(1,3), B(3,7) and C(-1,9). a. i. Find the gradient of AB. ii. Hence show that angle ABC is a right angle. b. i. Find the coordinates of M, the mid-point of AC. ii. Show that the lengths of AB and BC are equal. iii. Hence find an equation of the line of symmetry of the […]