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?
A. 1 : 2
B. 1 : 1
C. 3 : 1
D. 2 : 3
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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.
A. x - y = 8
B. x - y = -8
C. x + y = -8
D. x + y = 8
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What is the equation of the line passing through the point (-1, 3) and having x-intercept of 4 units?
A. 3x - 5y = 12
B. 3x + 5y = 12
C. 3x + 5y = -12
D. 3x - 5y = -12
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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?
A. y = 2x - 5
B. y = x + 5
C. y = 2x + 5
D. y = x - 5
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If ax - 4y = -6 has a slope of − 2 3 . 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:
A. Positive
B. Negative
C. Undefined
D. Zero
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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?
A. x = 2y + 6
B. y = 2x - 6
C. x = 2y - 6
D. y = 2x + 6
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Find the coordinates of the points where the graph 57x - 19y = 399 cuts the coordinate axes.
A. x-axis at (7, 0) and y-axis at (0, 21)
B. x-axis at (-7, 0) and y-axis at (0, - 21)
C. x-axis at (7, 0) and y-axis at (0, -21)
D. x-axis at (-7, 0) and y-axis at (0, 21)
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The elimination of θ from xcosθ - ysinθ = 2 and xsinθ + ycosθ = 4 will give:
A. 3x2 - y2 = 20
B. x2 + y2 = 20
C. 3x2 + y2 = 20
D. x2 - y2 = 20
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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;
A. k = -1
B. k = -4
C. k = 4
D. k = 1
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If (2x )(2y ) = 8 and (9x )(3y ) = 81, then (x, y) is:
A. (1, 2)
B. (2, 1)
C. (1, 1)
D. (2, 2)
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The straight line 2x + 3y = 12 passes through:
A. 1st , 2nd and 3rd quadrant
B. 1st , 2nd and 4th quadrant
C. 2nd , 3rd and 4th quadrant
D. 1st , 3rd and 4th quadrant
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The area of a triangle with vertices A(0, 8), O(0, 0), and B(5, 0) is:
A. 8 sq. units
B. 13 sq. units
C. 20 sq. units
D. 40 sq. units
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