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Mathematics
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ABCD is a parallelogram and E is the mid-point of BC. DE and AB when produced meet at F. Then, AF =

[10] 4-gons (Quadrilaterals)
Chapter: [10] 4-gons (Quadrilaterals)
Concept: undefined >> undefined

On plotting the points O(0, 0), A(3, 0), B(3, 4), C(0, 4) and joining OA, AB, BC and CO which of the following figure is obtained?

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

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The decimal expansion of the number `sqrt(2)` is ______.

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

The value of 1.999... in the form `p/q`, where p and q are integers and q ≠ 0, is ______.

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

`2sqrt(3) + sqrt(3)` is equal to ______.

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

`sqrt(10) xx sqrt(15)` is equal to ______.

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

If `sqrt(2) = 1.4142`, then `sqrt((sqrt(2) - 1)/(sqrt(2) + 1))` is equal to ______.

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

There are numbers which cannot be written in the form `p/q, q ≠ 0, p, q` both are integers.

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

Express the following in the form `p/q`, where p and q are integers and q ≠ 0:

0.2

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

Express the following in the form `p/q`, where p and q are integers and q ≠ 0:

0.888...

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

Express the following in the form `p/q`, where p and q are integers and q ≠ 0:

`5.bar2`

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

Express the following in the form `p/q`, where p and q are integers and q ≠ 0:

`0.bar001`

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

Express the following in the form `p/q`, where p and q are integers and q ≠ 0:

0.2555...

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

Express the following in the form `p/q`, where p and q are integers and q ≠ 0:

`0.1bar34`

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

Express the following in the form `p/q`, where p and q are integers and q ≠ 0:

0.00323232...

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

Express the following in the form `p/q`, where p and q are integers and q ≠ 0:

0.404040...

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

Show that 0.142857142857... = `1/7`

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

Express `0.6 + 0.bar7 + 0.4bar7` in the form `p/q`, where p and q are integers and q ≠ 0.

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

If x51 + 51 is divided by x + 1, the remainder is ______.

[2] Introduction to Polynomials
Chapter: [2] Introduction to Polynomials
Concept: undefined >> undefined

By actual division, find the quotient and the remainder when the first polynomial is divided by the second polynomial: x4 + 1; x – 1

[2] Introduction to Polynomials
Chapter: [2] Introduction to Polynomials
Concept: undefined >> undefined
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