Q 1: In what ratio is the line joining the points (2,-3) and (5,6) divided by the x-axis.
2:7
1:2
2:5
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Q 2: Find the area of the triangle whose vertices are (4,4), (3,-2) and (-3,16).
Answer:
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Q 3: If O is the origin and Q is a variable point on y2 = 8x, find the locus on the midpoint of OQ.
Answer:
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Q 4: Determine the ratio in which y-x+2 = 0 divides the line joining (3,-1) and (8,9).
2:3 internally
1:5 internally
2:3 externally
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Q 5: Find the area of the triangle whose vertices are (-5,0), (-5,12) and (-0,12).
Answer:
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Q 6: Find the equation of line passing through (-2,3) and (4,5).
6x - 2y + 6 = 0
4x - 2y + 5 = 0
4x - 2y = 0
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Q 7: Find the area of the quadrilateral formed by joining the points (-4,2), (1,-1), (4,1) and (2,5).
Answer:
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Q 8: 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:
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