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The area of a triangle is 5 sq units. Two of its vertices are 2, 1 and 3, In Coordinate geometry, we study that the distance of Ch 1 Class 10 Maths Important Questions 2?? a point from the y-axis is called its x-coordinate, or abscissa abscissa is a Latin word which means cut off and the distance of a point from the x-axis is called its y-coordinate, or ordinate ordinate is a Latin word which means keep it in order. Abscissa and ordinate collectively forms coordinate of a point in Cartesian system.

The coordinates of a point on the x-axis are of the form x, 0 , and of a point on the y-axis are of the form 0, y. Then, to prove that PQR form a triangle, show that the sum of any two of these distances is greater than the third distance. For x 1 , y 1 , x 2 , y 2 , x 3 , y 3 and x 4 , y 4 being the vertices of a quadrilateral, how to show that the quadrilateral is a square.

If a point A 2p, p is equidistant from two points B 2, �5 and C �3, 6 then find the value of p. Section formula is used to find the coordinates of the point P x, y which divides the line segment joining the points A x 1 , y 1 and B x 2 , y 2 , internally, in the ratio m 1 : m 2 as:.

Let P divides the line segment A 2, �2 and B �7, 4. 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 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.

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