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Coordinate geometry Practice Questions & Answers

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For triangle PQR, find equation of altitude PS if coordinates of P, Q and R are (6,2), (0,3) and (4,5) respectively?

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For triangle PQR, find equation of altitude PS if coordinates of P, Q and R are (6,2), (0,3) and (4,5) respectively?
1). 2x- y= 14
2). 2x + y = 10
3). 2x- y= 10
4). 2x + y = 14

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Point P is the midpoint of segment AB. Co-ordinates of point P are (2,1) and point A are (11,5). Co-ordinates of point B are

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Point P is the midpoint of segment AB. Co-ordinates of point P are (2,1) and point A are (11,5). Co-ordinates of point B are
1). (-7,-3)
2). (6.5,3)
3). (7,3)
4). (-6.5,-3)

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What is the equation of the line passing through the point (1,3) and making an angle of -45° with the positive x-axis?

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What is the equation of the line passing through the point (1,3) and making an angle of -45° with the positive x-axis?
1). x + y = 4
2). x + y = 2
3). x - y = 4
4). x - y = 2

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What is the slope of the line perpendicular to the line passing through the points (­6,3) and (2,7)?

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What is the slope of the line perpendicular to the line passing through the points (­6,3) and (2,7)?
1). -2
2). 2
3). $\frac{1}{2}$
4). $\frac{-1}{2}$

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What is the slope of the line parallel to the line passing through the points (­4,­6) and (2,­3)?

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What is the slope of the line parallel to the line passing through the points (­4,­6) and (2,­3)?
1). $\frac{-1}{2}$
2). -2
3). 2
4). $\frac{1}{2}$