Coordinate Geometry

Important Questions

Q) In order to conduct Sports Day activities in your School, lines have been drawn with chalk powder at a distance of 1 m each,…

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Q) Two rails are represented by the linear equations x + 2y – 4 = 0 and 2x + 4y – 12 = 0. Represent…

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Q) If A and B are (-2, -2) and (2, -4) respectively, find the coordinates of P such that AP = AB and P lies…

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Q) Two vertices of a triangle have coordinates (-8,7) and (9,4). If the centroid of the triangle is at the origin, what are the coordinates…

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Q) Find the ratio in which line y = x divides the line segment joining the points (6, -3) and (1, 6). Ans: Let’s draw…

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Q) Using Cartesian Coordinates we mark a point on a graph by how far along and how far up it is.The left-right (horizontal) direction is…

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Q) Alia and Shagun are friends living on the same street in Patel Nagar. Shagun’s house is at the intersection of one street with another…

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Q) Tharunya was thrilled to know that the football tournament is fixed with a monthly timeframe from 20th July to 20th August 2023 and for the…

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Q) Find the ratio in which y-axis divides the line segment joining the points (5, -6) and (-1, -4). Ans: Let’s draw the diagram to…

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Q) Point P(x, y) is equidistant from points A(5, 1) and B(1,5). Prove that x = y. Ans: Let’s draw the diagram to solve: Given…

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Q) The line segment joining the points A(4,-5) and B(4,5) is divided by the point P such that AP : AB = 2 : 5.…

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Q) Jagdish has a field which is in the shape of a right angled triangle AQC. He wants to leave a space in the form…

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Q) If Q(0,1) is equidistant from P(5,-3) and R (x,6), find the values of x. Ans: since the Point Q is equidistant, then Distance between…

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Q) Show that the points (-2, 3), (8, 3) and (6, 7) are the vertices of a right-angled triangle. Ans: Let’s plot these points on…

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Q) The centre of a circle is (2a, a-7). Find the values of ‘a’ if the circle passes through the point (11,-9). Radius of the…

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Q)  If (-5,3) coordinates and (5,3) are two vertices of an equilateral triangle, then find of the third vertex, given that origin lies inside the…

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