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High School Mathematics - 2
9.22 Co-ordinate Geometry Review

Q 1: Find the area of the triangle whose vertices are (4,4), (3,-2) and (-3,16).
Answer:

Q 2: 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 3: Find the area of the triangle whose vertices are (-5,0), (-5,12) and (-0,12).
Answer:

Q 4: Find the centroid of the triangles formed by the lines 2x-3y = 1, y+1 = 0 and 4x-5y = 1
(3,8)
(1/3,1/3)
(1,4)

Q 5: Find the equation of line passing through (-2,3) and (4,5).
4x - 2y = 0
4x - 2y + 5 = 0
6x - 2y + 6 = 0

Q 6: Determine the ratio in which y-x+2 = 0 divides the line joining (3,-1) and (8,9).
2:3 externally
1:5 internally
2:3 internally

Q 7: If O is the origin and Q is a variable point on y2 = 8x, find the locus on the midpoint of OQ.
Answer:

Q 8: In what ratio is the line joining the points (2,-3) and (5,6) divided by the x-axis.
1:2
2:5
2:7

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Question 10: This question is available to subscribers only!


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