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Find the distance between the points 0, 0 and 36, 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 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 points P 2, -3 and Q 10, y is 10 units.
If Q 0, 1 is equidistant from P 5, -3 , and R x, 6 , find the values of Ch 4 Maths Class 10 Ex 4.3 Tor x. Also, find the distances QR and PR. Find a relation between x and y such 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. Find the ratio in which the line segment joining the points -3, 10 and 6, -8 is divided by -1, 6.
Find the ratio in which line segment joining A 1, -5 and B -4, 5 is divided by the x-axis. Also, find the coordinates of the point of division. If 1, 2 , 4, y , x, 6 and 3, 5 are the vertices of a parallelogram taken in order, find x and y. Find the coordinates of a point A, where AB is the diameter of a circle whose centre is 2, -3 and B is 1, 4. Find the coordinates of the points which divide the line segment joining A -2, 2 and B 2, 8 into four equal parts.
Find the area of a rhombus if its vertices are 3, 0 , 4, 5 , -1, 4 and -2, -1 taken in order. Solution: Ex 7.
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