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Science (English Medium) Class 11 - CBSE Question Bank Solutions

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Draw appropriate Venn diagram for the following:

A' ∩ B'

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Draw appropriate Venn diagram for the following:

(A ∩ B)'

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

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Draw appropriate Venn diagram for the following:

A' ∪ B'

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

In a survey it was found that 21 people liked product A, 26 liked product B and 29 liked product C. If 14 people liked products A and B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Find how many liked product C only.

[1] Sets
Chapter: [1] Sets
Concept: undefined >> undefined

Find the derivative of x2 – 2 at x = 10.

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Find the derivative of 99x at x = 100.

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Find the derivative of x at x = 1.

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

For the function

f(x) = `x^100/100 + x^99/99 + ...+ x^2/2 + x + 1`

Prove that f'(1) = 100 f'(0)

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Find the derivative of `2x - 3/4`

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Find the derivative of (5x3 + 3x – 1) (x – 1).

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Find the derivative of x–3 (5 + 3x).

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Find the derivative of x5 (3 – 6x–9).

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Find the derivative of x–4 (3 – 4x–5).

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Find the derivative of `2/(x + 1) - x^2/(3x -1)`.

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Find the derivative of the following function (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

(x + a)

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Find the derivative of the following function (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

`(px+ q) (r/s + s)`

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Find the derivative of the following function (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

(ax + b) (cx + d)2

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Find the derivative of the following function (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

`(ax + b)/(cx + d)`

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Find the derivative of the following function (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

`(1 + 1/x)/(1- 1/x)`

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined

Find the derivative of the following function (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

`1/(ax^2 + bx + c)`

[12] Limits and Derivatives
Chapter: [12] Limits and Derivatives
Concept: undefined >> undefined
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