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Coordinate Geometry
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Point P(-2, 5) is the midpoint of segment AB. Co-ordinates of A are (-5, y) and B are (x, 3). What is the value of x?

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In what ratio is the segment joining points (2, 3) and (-2, 1) divided by the Y-axis?

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The equations 3x + 4y = 10 and -x + 2y = 0, have the solution (a, b). The value of a + b is:

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Find equation of the perpendicular to segment joining the points A(0, 4) and B(-5, 9) and passing through the point P. Point P divides segment AB in the ratio 2 : 3.

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What is the equation of the line passing through the point (-1, 3) and having x-intercept of 4 units?

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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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If ax - 4y = -6 has a slope of  What is the value of a?

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What is the area (in sq. units) of the triangle formed by the graphs of the equations 2x + 5y - 12 = 0, x + y = 3 and y = 0?

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What is the slope of the line perpendicular to the line passing through the points (-5, 1) and (-2, 0)?

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For what value of m will the system of equations 18x - 72y + 13 = 0 and 7x - my - 17 = 0 have no solution?

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The slope of the given line is:
Coordinate Geometry mcq question image

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The area bounded by the lines x = 0, y = 0, x + y = 1, 2x + 3y = 6 (in square units) is

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A line cuts the x axis at the point (-3, 0) and the y-axis at the point (0, 6). What is the equation of the line?

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Find the coordinates of the points where the graph 57x - 19y = 399 cuts the coordinate axes.

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The elimination of θ from xcosθ - ysinθ = 2 and xsinθ + ycosθ = 4 will give:

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The graphs of the linear equations 3x - 2y = 8 and 4x + 3y = 5 intersect at the point P(α, β). What is the value of (2α - β)?

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2x - ky + 7 = 0 and 6x - 12y + 15 = 0 has no solution for;

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If (2x)(2y) = 8 and (9x)(3y) = 81, then (x, y) is:

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The straight line 2x + 3y = 12 passes through:

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The area of a triangle with vertices A(0, 8), O(0, 0), and B(5, 0) is:

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