Do the questions as a test circle questions you cannot answer – Red 1) Find the equation of the line that goes through points and Give your answer in the form [2] 2) Find the equation of the line that goes through point and is perpendicular to the line Give your answer in the form [2] 3) Points A , B and C lie on a plane surface Show that triangle ABC is right angled and find its area [3] 4) Points A , B , C and D lie on a plane surface Find the area of rectangle ABCD [3] 5) has equation has equation l1 l2 Show that the lines and are not perpendicular and find their point of l1 l2 intersection [3] Amber 6) The straight line with equation l1 Point has coordinates (2, 2) P a) line is perpendicular to line and goes through point l2 l1 P. [3] Find the equation of line l2 b) Find the shortest distance from to straight line [2] P l1 7) The straight line with equation = 2 crosses the at the point The l1 y x y-axis P. – point has coordinates (5, 3). Q Calculate the coordinates of the mid-point of a) [3] PQ. The straight line is perpendicular to and passes through l2 l1 Q. Find an equation for in the form + = where and are integer b) l2 ax by c, a, b c [4] constants. The lines and intersect at the point l1 l2 R c) Calculate the exact coordinates of [4] R
Do the questions as a test – circle questions you cannot answer Red 1) Find the equation of the line that goes through points and Give your answer in the form [2] 2) Find the equation of the line that goes through point and is perpendicular to the line Give your answer in the form [2] 3) Points A , B and C lie on a plane surface Show that triangle ABC is right angled and find its area [3] 4) Points A , B , C and D lie on a plane surface Find the area of rectangle ABCD [3] 5) l1 has equation l2 has equation Show that the lines l1 and l2 are not perpendicular and find their point of intersection [3] Amber 6) The straight line l1 with equation Point P has coordinates (2, 2) a) line l2 is perpendicular to line l1 and goes through point P. Find the equation of line l2 [3] b) Find the shortest distance from P to straight line l1 [2] 7) The straight line l1 with equation y = x – 2 crosses the y-axis at the point P. The point Q has coordinates (5, 3). a) Calculate the coordinates of the mid-point of PQ. [3] The straight line l2 is perpendicular to l1 and passes through Q. b) Find an equation for l2 in the form ax + by = c, where a, b and c are integer constants. [4] The lines l1 and l2 intersect at the point R c) Calculate the exact coordinates of R [4]
a102_3-assessment-linear-geometry-qp.docx