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26.01.2021, adminIt will be also useful in completing your homework and understanding concepts clearly. Determine if the points 1, 5 , 2, 3 and -2, are collinear. Check whether 5, - 2 , 6, 4 and 7, - 2 are the vertices of an isosceles triangle.
In a classroom, 4 friends are seated at the points A, B, C and D as shown in the following figure. Using distance formula, find which of them is correct. Clearly from the figure, the coordinates of points A, B, C and D are 3, 4 , 6, 7 , 9, 4 and 6, 1. By using distance formula, we get. Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer: i - 1, - 2 , 1, 0 , - 1, 2 , - 3, 0 ii - 3, 5 , 3, 1 , 0, 3 , - 1, - 4 iii 4, 5 , 7, 6 , 4, 3 , 1, 2.
Let P x 1 , y 1 and Q x 2 , y 2 are the points of trisection of the line segment joining the given points i. Therefore, x -axis divides it in the ratio If 1, 2 , 4, y , x , 6 and 3, 5 are the vertices of a parallelogram taken in order, find x and y.
Let A,B,C and D be the points 1,2 4, y , x ,6 and 3,5 respectively. Mid point of diagonal AC is. Since the diagonals of a parallelogram bisect each other, the mid point of AC and BD are same. The coordinates of point A and B are -2,-2 and 2,-4 respectively. Point P divides the line segment AB in the ratio Find the coordinates of the points which divide the line segment joining A - 2, 2 and B 2, 8 into four equal parts. In each of the following find the value of ' k ', for which the points are collinear.
Find the area of the quadrilateral whose vertices, taken in order, are -4, -2 , -3, -5 , 3, -2 and 2, 3. You have studied in Class IX that a median of a triangle divides it into two triangles of equal areas. The chapter is divided into 4 topics that will improve your knowledge regarding Coordinate Geometry. In earlier class, we studied how to locate the position of a point on a plane and various terms related to it.
Exercise 7. These answers are prepared by experts of Studyrankers who have vast experience in teaching. These will help the students in learning the concepts efficiently. What is Coordinate Geometry? Coordinate Geometry is the branch of Mathematics in which algebraic methods are used to solve geometrical problems is known as coordinate geometry.
If the points A 4, 3 and B x, 5 are on the circle with the centre O 2, 3 , find the value of x. Let O 2, 3 be the centre of the circle. Previous Post Next Post. Contact form. LinkList ul li ul'. Tabify by Templateify v1. Chapter 1 Real Numbers. Chapter 2 Polynomials. Chapter 4 Quadratic Equations. Chapter 5 Arithmetic Progressions.
Chapter 6 Triangles. Chapter 8 Introduction To Trigonometry. Chapter 9 Some Applications Of Trigonometry. Chapter 10 Circles. Chapter 11 Constructions. Chapter 12 Areas Related To Circles. Chapter 13 Surface Areas And Volumes. Chapter 14 Statistics. Chapter 15 Probability.
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