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. Sapling of Gulmohar
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.,
Q)Â 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 first time in the FIFA Women’s World Cup’s history, two nations host in 10 venues. Her father felt that the game can be better understood if the position of players
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 solve: Let’s consider the coordinates of point P is (0,y) Also consider that the line AB is divided in ratio of m : n. By section formula,
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 that PAÂ = PB Hence, PA2Â = PB2 Â Â (x – 5)2Â + (y – 1)2 = (x – 1)2 + (y – 5)2 – 10 x – 2y = –
Point P(x, y) is equidistant from points A(5, 1) and B(1, 5). Prove that x = y. Read More »
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. Find the coordinates of P. Ans: Let’s draw the diagram to solve: Given that  (AB = AP + PB) by cross multiplication, we get: 5 AP = 2 (AP
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 of a square PQRS inside the field for growing wheat and the remaining for growing vegetables (as shown in the figure). In the field, there is a pole marked as
Jagdish has a field which is in the shape of a right angled triangle AQC. Read More »