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### High School Mathematics - 29.22 Co-ordinate Geometry Review

 Q 1: Show that the area of the triangle formed by the points (t,t-2), (t+3,t), (t+2,t+2) is independent of t.Answer: Q 2: Determine the ratio in which y-x+2 = 0 divides the line joining (3,-1) and (8,9).2:3 internally2:3 externally1:5 internally Q 3: Find the equation of line passing through (-2,3) and (4,5). 6x - 2y + 6 = 04x - 2y = 04x - 2y + 5 = 0 Q 4: If O is the origin and Q is a variable point on y2 = 8x, find the locus on the midpoint of OQ.Answer: Q 5: Find the area of the triangle whose vertices are (4,4), (3,-2) and (-3,16).Answer: Q 6: The slope of a line passing through (3,8) and (5,a) is 7/2. Find the value of a.15131214 Q 7: Find the centroid of the triangles formed by the lines 2x-3y = 1, y+1 = 0 and 4x-5y = 1(1,4)(1/3,1/3)(3,8) Q 8: In what ratio is the line joining the points (2,-3) and (5,6) divided by the x-axis.2:72:51:2 Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!