Results CHAPTER 7 COORDINATE GEOMETRY on myboat244 boatplansu

Exercise 7. Find the distance between the following pairs of points: i 2, 34, 1 ii -5, 7-1, 3 iii a, b-a, -b Solution:.

Find the distance between the points 0, 0 and 36, Determine Class 10 Maths Ch 7 Ex 7.4 Top if the points 1, 52, 3 and -2, are collinear. Check whether 5, -26, 4 and 7, -2 are the vertices of an isosceles triangle. In a classroom, 4 friends are seated at the points Class 10 maths ch 7 ex 7.4 gpu, B, C and D as shown in the given figure.

Using distance formula, find which of them is correct. Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer. Find the point on the x-axis which is equidistant from 2, -5 and -2, 9. Find the values of y for which the distance between the mtahs P 2, -3 and Q 10, y is 10 units. If Q 0, 1 is equidistant from P 5, -3and R x, 6find the values of x.

Also, find the distances QR and PR. Find a relation between x and y class 10 maths ch 7 ex 7.4 gpu that the point x, y is equidistant from the points 3, 6 and -3, 4. The Perpendicular distance of x a point from the y-axis is called its x-coordinate or abscissa.

The perpendicular distance y of a point from the x-axis is called its y-coordinate or ordinate. The x and y taken math in order is called coordinte of point denoted by x, y.

The coordinate of the points on x-axis are of the form x, 0 and the points on the y-axis are of the form 0, y. Coordinate of origin is 0, 0. The sign of clasa and y-coordinates in each of the quadrant is shown below:. The distance between any two points P x 1y 1 and Q x 2y 2 in the plane is given by, Also the distance of the point P x 1y 1 from the origin is. The coordinates of the point P x, y which divides the line segment joining the points A x 1y 1 and B x 2y 2 class 10 maths ch 7 ex 7.4 gpu in the ratio m 1 : m 2 i.

The coordinates of the mid point P of the line segment joining the points A x 1y 1 and B x 2y 2 matha. Find the distance between the following pairs of points: i 2, 34, 1 ii -5, 7-1, 3 clxss a, b-a, -b Solution: Ex 7. Solution: Ex 7. The sign of x and y-coordinates in each of the quadrant is shown below: Distance Formula The distance between any two points P x 1y 1 and Q x 2y 2 in the plane is given by, Also the distance of the point P x 1y 1 from the origin is Section Formula The coordinates of the point P x, y which divides the line segment joining the points A x 1y 1 and B x 2y 2 internally in the ratio m 1 : m 2 i.

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Recall Converse of basic proportionality theorem and Theorem 6. Converse of Basic Proportionality Theorem: If a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side. Alternatively, we know that if a line segment in a triangle divides its two sides in the same ratio, then the line segment is parallel to the third side of the triangle[Converse of Basic Proportionality Theorem].

Hence, the ratio between the areas of these two triangles will be the square of the ratio between the sides of these two triangles. A median of a triangle is a line segment joining the vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

Therefore, Class 10 Maths Ch 7 Ex 7.4 Review all these are representing the same point on the plane i. A rectangle? Or a rhombus? Justify your answer. We know that the distance between the two points is given by the Distance Formula,. It can be observed that all sides of the given quadrilateral are of the same measure.

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