Скачать или смотреть Coordinate Geometry Introduction Class 10 RS Aggarwal | CBSE | NCERT | New syllabus | Rajmith

Book - RS Aggarwal
Book - NCERT
Class - 10
Chapter - Coordinate Geometry
Introduction
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Chapter - Coordinate Geometry
Exercise 6A
Q1 to Q5
   • Class 10 Ex 6A Coordinate Geometry Q1 to Q...  
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Topic Mentions
1 : Distance Formula
2 : Section Formula
3 : Area of Triangles
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DISTANCE BETWEEN TWO POINTS
The distance between two points A(x, y) and B(x, y) is given by
AB = √(x2-x)²+(y2-y₁)².
1. The distance between the points A(x, y) and B(x2, y2) is given by AB=√(x2-x)²+(y₂-Y₁)².
2. The distance of the point P(x, y) from the origin O(0, 0) is given by
OP = √x²+ y².
TWO IMPORTANT NOTES
(i) Any point on the x-axis is of the form (x, 0).
(ii) Any point on the y-axis is of the form (0, y).

PROPERTIES OF VARIOUS TYPES OF QUADRILATERALS
A quadrilateral is a
(i) rectangle if its opposite sides are equal and the diagonals are equal.
(ii) square if all its sides are equal and the diagonals are equal.
(iii) parallelogram if its opposite sides are equal.
(iv) parallelogram but not a rectangle if its opposite sides are equal and the
diagonals are not equal..
(v) rhombus but not a square if all its sides are equal and the diagonals are
not equal.

SECTION FORMULA

DEOREM 2 (Section formula) The coordinates of the point P(x, y) which divides the line segment joining A(x, y) and B(x, y) internally in the ratio m:n are given by

x=mx2+nx1/m+n
y=my2+ny1/m+n

AREA OF A TRIANGLE
The area of a triangle ABC with vertices A(x, y), B(x, y) and C(x,y) is given by
Area(AABC)=1/2(x1 (Y₂-Y3)+X2 (Y3-Y₁) + X3 (y₁−y2)