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Mathematics
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Plot the following points and check whether they are collinear or not:

(1, 1), (2, – 3), (– 1, – 2)

[6] Coordinate Geometry
Chapter: [6] Coordinate Geometry
Concept: undefined >> undefined

Plot the following points and check whether they are collinear or not:

(0, 0), (2, 2), (5, 5)

[6] Coordinate Geometry
Chapter: [6] Coordinate Geometry
Concept: undefined >> undefined

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Which of the following points lie on y-axis?

A(1, 1), B(1, 0), C(0, 1), D(0, 0), E(0, – 1), F(– 1, 0), G(0, 5), H(– 7, 0), I(3, 3).

[6] Coordinate Geometry
Chapter: [6] Coordinate Geometry
Concept: undefined >> undefined

Plot the points (x, y) given by the following table. Use scale 1 cm = 0.25 units

x 1.25 0.25 1.5 – 1.75
y – 0.5 1 1.5 – 0.25
[6] Coordinate Geometry
Chapter: [6] Coordinate Geometry
Concept: undefined >> undefined

Taking 0.5 cm as 1 unit, plot the following points on the graph paper:

A(1, 3), B(– 3, – 1), C(1, – 4), D(– 2, 3), E(0, – 8), F(1, 0)

[6] Coordinate Geometry
Chapter: [6] Coordinate Geometry
Concept: undefined >> undefined

Points A(5, 3), B(– 2, 3) and D(5, – 4) are three vertices of a square ABCD. Plot these points on a graph paper and hence find the coordinates of the vertex C.

[6] Coordinate Geometry
Chapter: [6] Coordinate Geometry
Concept: undefined >> undefined

Plot the points P(1, 0), Q(4, 0) and S(1, 3). Find the coordinates of the point R such that PQRS is a square.

[6] Coordinate Geometry
Chapter: [6] Coordinate Geometry
Concept: undefined >> undefined

From the figure, answer the following:

  1. Write the points whose abscissa is 0.
  2. Write the points whose ordinate is 0.
  3. Write the points whose abscissa is –5.

[6] Coordinate Geometry
Chapter: [6] Coordinate Geometry
Concept: undefined >> undefined

From the figure, answer the following:

Write the points whose ordinate is 0.

[6] Coordinate Geometry
Chapter: [6] Coordinate Geometry
Concept: undefined >> undefined

From the figure, answer the following:

Write the points whose abscissa is – 5.

[6] Coordinate Geometry
Chapter: [6] Coordinate Geometry
Concept: undefined >> undefined

Plot the points A(1, – 1) and B(4, 5). Draw a line segment joining these points. Write the coordinates of a point on this line segment between the points A and B.

[6] Coordinate Geometry
Chapter: [6] Coordinate Geometry
Concept: undefined >> undefined

Plot the points A(1, – 1) and B(4, 5). Extend this line segment and write the coordinates of a point on this line which lies outside the line segment AB.

[6] Coordinate Geometry
Chapter: [6] Coordinate Geometry
Concept: undefined >> undefined

Euclidean geometry is valid only for curved surfaces.

[7] Introduction to Euclid’s Geometry: Axioms and Postulates
Chapter: [7] Introduction to Euclid’s Geometry: Axioms and Postulates
Concept: undefined >> undefined

Two distinct intersecting lines cannot be parallel to the same line.

[7] Introduction to Euclid’s Geometry: Axioms and Postulates
Chapter: [7] Introduction to Euclid’s Geometry: Axioms and Postulates
Concept: undefined >> undefined

Write the following in decimal form and say what kind of decimal expansion has: 

`1/11`

[1] Number Systems
Chapter: [1] Number Systems
Concept: undefined >> undefined

Write the following in decimal form and say what kind of decimal expansion has:

`4 1/8`

[1] Number Systems
Chapter: [1] Number Systems
Concept: undefined >> undefined

Write the following in decimal form and say what kind of decimal expansion has: 

`3/13`

[1] Number Systems
Chapter: [1] Number Systems
Concept: undefined >> undefined

Write the following in decimal form and say what kind of decimal expansion has:

`2/11`

[1] Number Systems
Chapter: [1] Number Systems
Concept: undefined >> undefined

Write the following in decimal form and say what kind of decimal expansion has:

`329/400`

[1] Number Systems
Chapter: [1] Number Systems
Concept: undefined >> undefined

Express the following in the form `bb(p/q)`, where p and q are integers and q ≠ 0.

`0.4bar7`

[1] Number Systems
Chapter: [1] Number Systems
Concept: undefined >> undefined
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