1) The diagram shows the straight line L₁. Points A (-9, -1), M(-3, 2) and C are points on L₁. M 0 C I L M is the midpoint of AC. Line L2 is perpendicular to L₁ and passes through point M. The point N (k, 4) is on L2. e) Find the distance between points M and N. f) Given that the length of AM is √45, fin the area of triangle ANC. a) Find the gradient (slope) of L₁. b) Find the coordinates of point C. c) Find the equation o L2. Give your answer in the form ax + by + d = 0, where a, b, d e Z. d) Find the value of k.
1) The diagram shows the straight line L₁. Points A (-9, -1), M(-3, 2) and C are points on L₁. M 0 C I L M is the midpoint of AC. Line L2 is perpendicular to L₁ and passes through point M. The point N (k, 4) is on L2. e) Find the distance between points M and N. f) Given that the length of AM is √45, fin the area of triangle ANC. a) Find the gradient (slope) of L₁. b) Find the coordinates of point C. c) Find the equation o L2. Give your answer in the form ax + by + d = 0, where a, b, d e Z. d) Find the value of k.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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