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Coordinate geometry Practice Questions & Answers

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The co-ordinates of the centroid of a triangle ABC are (-1,-2) what are the co-ordinates of vertex C, if co-ordinates of A and B are (6,-4) and (-2,2) respectively?

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The co-ordinates of the centroid of a triangle ABC are (-1,-2) what are the co-ordinates of vertex C, if co-ordinates of A and B are (6,-4) and (-2,2) respectively?
1). (-7,-4)
2). (7,4)
3). (7,-4)
4). (-7,4)

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At what point does the line 3x + 2y = -12 intercept the Y-axis?

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At what point does the line 3x + 2y = -12 intercept the Y-axis?
1). (0,6)
2). (0,-6)
3). (-4,0)
4). (4,0)

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The line passing through the point (5,a) and point (4,3) is perpendicular to the line x - 6y = 8. What is the value of 'a'?

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The line passing through the point (5,a) and point (4,3) is perpendicular to the line x - 6y = 8. What is the value of 'a'?
1). -3
2). -2
3). 4
4). 5

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For triangle PQR, what is the equation of altitude PS if co-­ordinates of P, Q and R are (5,1), (0,­4) and (­2,3) respectively?

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For triangle PQR, what is the equation of altitude PS if co-­ordinates of P, Q and R are (5,1), (0,­4) and (­2,3) respectively?
1). 7x + 2y = 33
2). 2x -­ 7y = 9
3). 2x ­- 7y = -­3
4). 7x + 2y = ­-33

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If a(x + y) = b(x - y) = 2ab, then the value of 2(x2 + y2) is

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If a(x + y) = b(x - y) = 2ab, then the value of 2(x2 + y2) is
1). 2(a2 - b2)
2). 2(a2 + b2)
3). 4(a2 - b2)
4). 4(a2 + b2)