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Aptitude · all questions

Coordinate Geometry
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The points A(3, -2), B(1, 4) and C(-2, x) are collinear. What is the value of x?

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What is the area (in unit squares) of the region enclosed by the graphs of the equations 2x - 3y + 6 = 0, 4x + y = 16 and y = 0?

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The point P(5, -2) divides the segment joining the point (x, 0) and (0, y) in the ratio 2 : 5 what is the value of x and y?

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

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What will be the equation of the perpendicular bisector of segment joining the points (5, -3) and (0, 2)?

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What is the equation of a circle with centre of origin and radius is 6 cm?

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Point A divides segment BC in the ratio 4 : 1 Co-ordinates of B are (6, 1) and C are  What are the co-ordinates of point A?

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The graph of the linear equation 3x + 4y = 24 is a straight line intersecting x-axis and y-axis at the points A and B respectively. P(2, 0) and Q  are two points on the sides OA and OB respectively of ΔOAB, where O is the origin of the co-ordinate system. Given that AB = 10 cm, then PQ = ?

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What is the equation of a line having slope and y-intercept equal to 6?

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The graphs of the linear equations 4x - 2y = 10 and 4x + ky = 2 intersect at a point (a, 4). The value of k is equal to:

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A line passing through the origin perpendicularly cuts the line 3x - 2y = 6 at point M. Find the co-ordinates of M.

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What would be the equation of the line, which intercepts x-axis at -5 and is perpendicular to the line y = 2x + 3?

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The length of the portion of the straight line 3x + 4y = 12 intercepted between the axes is:

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P(4, 2) and R(-2, 0) are vertices of a rhombus PQRS. What is the equation of diagonal QS?

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What is the equation of the line perpendicular to the line 2x + 3y = -6 and having Y-intercept 3?

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The line passing through the point (5, a) and point (4, 3) is perpendicular to the line x - 6y = 8. What is the value of 'a'?

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What is the equation of the line which intercepts x-axis and y-axis at and respectively?

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The graphs of the equations 3x + y - 5 = 0 and 2x - y - 5 = 0 intersect at the point P(α, β). What is the value of (3α + β)?

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The line passing through point (-3, 1) and point (x, 5) is parallel to the line passing through point (-2, -1) and point (6, 3). What is the value of x?

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Slope of the line AB is  Co-ordinates of points A and B are (x, -3) and (5, 2) respectively. What is the value of x?

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