Class 10 Ex 6A Coordinate Geometry Q1 to Q5 RS Aggarwal | CBSE | New syllabus | Rajmith study
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Book - RS AggarwalBook -
Book - RS Aggarwal
Book - NCERT
Class - 10
Chapter - Coordinate Geometry
Exercise 6A
Q1 to Q5
Class 10 Ex 6A Coordinate Geometry Q1...
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Chapter - Coordinate Geometry
Exercise 6A
Q6 to Q10
Class 10 Ex 6A Q6 to Q10 Coordinate G...
- - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Chapter - Coordinate Geometry
Exercise 6A
Q11 to Q15
Class 10 Ex 6A Q11 to Q15 Coordinate ...
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Chapter - Coordinate Geometry
Exercise 6A
Q16 to Q20
Class 10 Coordinate Geometry Ex 6A Q1...
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Chapter - Coordinate Geometry
Exercise 6A
Q21 to Q25
Ex 6A Q21 to Q25 Class 10 Coordinate...
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- - - - - - - - - - - - - - -- - - - - -- - - - - - - - - - - -
1 : Distance Formula
2 : Section Formula
3 : Area of Triangles
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#class10math
#cordinategeometry
#class10math #cbse
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)
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1. Find the distance between the points:
(i) A(9, 3) and B(15, 11)
(ii) A(- 6, - 4) and B(9, - 12)
(iii) P(a + b,a - b) and Q(a - b, a + b)
(iv) A(7, - 4) and B(- 5, 1) (iv) A(1, - 3) and B(4,-6)
(v) Plasin a, acoso) and Q(acos a,-asin a)
2 Find the distance of each of the following points from the origin:
(i) f(5, - 12)
(ii) B(- 5, 5) (iii) C(- 4,- 6)
3. Find all possible values of x for which the distance between the points
A(x, - 1) and B(5, 3) is 5 units.
4. Find all possible values of y for which the distance between the points A(2, - 3) and B(10, y) is 10 units..
5. Find the values of x for which the distance between the points f * P(x,4) and Q(9, 10) is 10 units.
Book - NCERT
Class - 10
Chapter - Coordinate Geometry
Exercise 6A
Q1 to Q5
Class 10 Ex 6A Coordinate Geometry Q1...
``````````````````````````````````````````````
Chapter - Coordinate Geometry
Exercise 6A
Q6 to Q10
Class 10 Ex 6A Q6 to Q10 Coordinate G...
- - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Chapter - Coordinate Geometry
Exercise 6A
Q11 to Q15
Class 10 Ex 6A Q11 to Q15 Coordinate ...
``````````````````````````````
Chapter - Coordinate Geometry
Exercise 6A
Q16 to Q20
Class 10 Coordinate Geometry Ex 6A Q1...
````````````````````
Chapter - Coordinate Geometry
Exercise 6A
Q21 to Q25
Ex 6A Q21 to Q25 Class 10 Coordinate...
BE MY FRIEND :-----
Instagram :- Instagram: its_abhishek_kushwaha
Facebook page:- Facebook: Rajmith-Study-101881812030758
- - - - - - - - - - - - - - -- - - - - -- - - - - - - - - - - -
1 : Distance Formula
2 : Section Formula
3 : Area of Triangles
Rajmith study
#class10math
#cordinategeometry
#class10math #cbse
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)
```````````````````````````````````````````````````````````````````
1. Find the distance between the points:
(i) A(9, 3) and B(15, 11)
(ii) A(- 6, - 4) and B(9, - 12)
(iii) P(a + b,a - b) and Q(a - b, a + b)
(iv) A(7, - 4) and B(- 5, 1) (iv) A(1, - 3) and B(4,-6)
(v) Plasin a, acoso) and Q(acos a,-asin a)
2 Find the distance of each of the following points from the origin:
(i) f(5, - 12)
(ii) B(- 5, 5) (iii) C(- 4,- 6)
3. Find all possible values of x for which the distance between the points
A(x, - 1) and B(5, 3) is 5 units.
4. Find all possible values of y for which the distance between the points A(2, - 3) and B(10, y) is 10 units..
5. Find the values of x for which the distance between the points f * P(x,4) and Q(9, 10) is 10 units.
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