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Coordinate geometry Practice Questions & Answers

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The solution set of 4x - 3y = 47 and 3x + y = 32 is

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The solution set of 4x - 3y = 47 and 3x + y = 32 is
1). {(15, 3)}
2). {(4, 12)}
3). {(11, -1)}
4). {(12, 3)}

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ABCD is a parallelogram. Co-ordinates of A, B and C are (5,0), (-2,3) and (-1,4) respectively. What will be the equation of line AD?

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ABCD is a parallelogram. Co-ordinates of A, B and C are (5,0), (-2,3) and (-1,4) respectively. What will be the equation of line AD?
1). y = 2x - 5
2). y = x + 5
3). y = 2x + 5
4). y = x - 5

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What is the equation of line whose slope is -$\frac{1}{2}$ and passes through the intersection of the lines x - y = -1 and 3x - 2y = 0?

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What is the equation of line whose slope is -$\frac{1}{2}$ and passes through the intersection of the lines x - y = -1 and 3x - 2y = 0?
1). x + 2y = 8
2). 3x + y = 7
3). x + 2y = -8
4). 3x + y = -7

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What is the slope of the line, parallel to the line 3x - 6y = 4?

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What is the slope of the line, parallel to the line 3x - 6y = 4?
1). $\frac{-1}{2}$
2). $\frac{1}{2}$
3). 2
4). -2

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Point Q(-2,b) is the midpoint of segment EF. Co-ordinates of E are (-7,-6) and F are (a,0). What is the value of a and b?

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Point Q(-2,b) is the midpoint of segment EF. Co-ordinates of E are (-7,-6) and F are (a,0). What is the value of a and b?
1). a = 3; b = -3
2). a = -3; b = -3
3). a = 3; b = 3
4). a = -3; b = 3