Q 1: If O is the origin and Q is a variable point on y^{2} = 8x, find the locus on the midpoint of OQ. Answer:

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

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

Q 4: In what ratio is the line joining the points (2,3) and (5,6) divided by the xaxis. 2:5 2:7 1:2

Q 5: Find the area of the triangle whose vertices are (4,4), (3,2) and (3,16). Answer:

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

Q 7: Find the centroid of the triangles formed by the lines 2x3y = 1, y+1 = 0 and 4x5y = 1 (3,8) (1/3,1/3) (1,4)

Q 8: Show that the area of the triangle formed by the points (t,t2), (t+3,t), (t+2,t+2) is independent of t. Answer:

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Question 10: This question is available to subscribers only!

