In what ratio does the point T(x, 0) divide the segment joining the points S(-4, -1) and U(1, 4)?
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Coordinate Geometry
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Point A (2, 1) divides segment BC in the ratio 2 : 3. Co-ordinates of B are (1, -3) and C are (4, y). What is the value of y?
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The graphs of the equations 7x + 11y = 3 and 8x + y = 15 intersect at the point P, which also lies on the graph of the equation:
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If a linear equation is of the form x = k where k is a constant, then graph of the equation will be
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The total area (in sq. unit) of the triangles formed by the graph of 4x + 5y = 40, x-axis, y-axis and x = 5 and y = 4 is:
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The linear equation such that each point on its graph has an ordinate four times its abscissa is:
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What is the area (in square units) of the triangular region enclosed by the graphs of the equations x + y = 3, 2x + 5y = 12 and the x-axis?
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Equation of the straight line parallel to x-axis and also 3 units below x-axis is:
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The equation of circle with centre (1, -2) and radius 4 cm is:
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An equation of the form ax + by + c = 0 where a ≠ 0, b ≠ 0, c = 0 represents a straight line which passes through:
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The graph of the equation x - 7y = -72, intersects the y-axis at P(α, β) and the graph of 6x + y - 15 = 0, intersects the x-axis at Q(γ, δ). What is the value of α + β + γ + δ?
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What is the slope of the line parallel to the line passing through the points (5, -1) and (4, -4)?
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Find the area of quadrilateral formed by joining points (4, 2), (8, 2), (8, 14) and (4, 10).
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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 area (in unit squares) of the triangle enclosed by the graphs of 2x + 5y = 12, x + y = 3 and the x-axis?
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If the ordinate and abscissa of the point (k, 2k - 1) be equal, then the value of k is:
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Reflection of the point (4, -6) in the origin is:
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Find the equation of a circle whose diameter has end points (4, 3) and (-2, 1).
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The graph of the equations 5x - 2y + 1 = 0 and 4y - 3x + 5 = 0, intersect at the point P(α, β). What is the value of (2α - 3β)?
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Area of the triangle formed by the graph of the straight lines x - y = 0, x + y = 2 and the x-axis is:
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