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Q) ABCD is a rectangle formed by the points A (−1, −1), B (−1, 6), C (3, 6) and D (3, −1). P, Q, R and S are mid-points of sides AB, BC, CD and DA respectively. Show that diagonals of the quadrilateral PQRS bisect each other. Ans: Let’s make a diagram for the given […]
coordinate geometry
Q) Find the ratio in which the point (8/5, y) divides the line segment joining the points (1, 2) and (2, 3). Also, find the value of y. Ans: Let’s make a diagram for the given question: Let’s consider the point C(8/5, y) divides the line AB in ratio of P : 1 Now, by
Find the ratio in which the point (8/5, y) divides the line segment joining the points Read More »
Q) The vertices of a quadrilateral ABCD are A(6, – 2), B(9, 2), C(5, – 1) and D(2, – 5). Prove that ABCD is a rhombus, and not a square. Ans: Let’s quickly understand the comparisons of a Square and a Rhombus: Key Similarities: 1. Both are polygons with all four sides equal in length 2.
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, in a rectangular shaped ground ABCD, 100 flowerpots have been placed at a distance of 1 m from each other along AD, as shown in given figure below. Niharika runs
In order to conduct Sports Day activities in your School, lines have been drawn with Read More »
Q) Two rails are represented by the linear equations x + 2y – 4 = 0 and 2x + 4y – 12 = 0. Represent this situation geometrically. Ans:Â Step 1: Let’s try to find the intersection points on X – axis and Y – axis for each of the lines: A. For linear equation
Two rails are represented by the linear equations x + 2y – 4 = 0 and 2x + 4y – 12 = 0. Read More »
Q) If A and B are (-2, -2) and (2, -4) respectively, find the coordinates of P such that AP = AB and P lies on the line segment AB. Ans: Let the coordinates of P are (X, Y) Since P lies on the line AP, ∴ AP + PB = AB … (1) Given
If A and B are (-2, -2) and (2, -4) respectively, find the coordinates of P such that Read More »
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 of the third vertex? Ans:Â Given that two vertices of a triangle are (-8,7) and (9,4); Centroid is (0,0) Let the third vertex be (X, Y) We know that if a
Q) Find the ratio in which line y = x divides the line segment joining the points (6, -3) and (1, 6). Ans: Let’s consider that the line y = x divided the line PQ in the ratio of m : n. By section formula, if a point (x, y) divides the line joining the
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 commonly called X-axis. The up-down (vertical) direction is commonly called Y-axis. In Green Park, New Delhi Suresh is having a rectangular plot ABCD as shown in the following figure.
Using Cartesian Coordinates we mark a point on a graph by how far along Read More »
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 street on which there is a library. They both study inthe same school and that is not far from Shagun’s house. Suppose the school is situated atthe point O, i.e.,