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

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Write the conjugate of \[\frac{2 - i}{\left( 1 - 2i \right)^2}\] .

[4] Complex Numbers and Quadratic Equations
Chapter: [4] Complex Numbers and Quadratic Equations
Concept: undefined >> undefined

Evaluate the following:

14C3

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

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Evaluate the following:

12C10

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

Evaluate the following:

35C35

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

Evaluate the following:

n + 1Cn

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

Evaluate the following:

\[\sum^5_{r = 1} {}^5 C_r\]

 

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

If (1+i)(1 + 2i)(1+3i)..... (1+ ni) = a+ib,then 2 ×5 ×10 ×...... ×(1+n2) is equal to.

[4] Complex Numbers and Quadratic Equations
Chapter: [4] Complex Numbers and Quadratic Equations
Concept: undefined >> undefined

If nC12 = nC5, find the value of n.

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

If nC4 = nC6, find 12Cn.

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

If nC10 = nC12, find 23Cn.

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

24Cx = 24C2x + 3, find x.

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

If 18Cx = 18Cx + 2, find x.

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

If 15C3r = 15Cr + 3, find r.

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

If 8Cr − 7C3 = 7C2, find r.

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

If 15Cr : 15Cr − 1 = 11 : 5, find r.

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

If n +2C8 : n − 2P4 = 57 : 16, find n.

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

If 28C2r : 24C2r − 4 = 225 : 11, find r.

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined

If (1 + i) (1 + 2i) (1 + 3i) .... (1 + ni) = a + ib, then 2.5.10.17.......(1+n2)=

[4] Complex Numbers and Quadratic Equations
Chapter: [4] Complex Numbers and Quadratic Equations
Concept: undefined >> undefined

If \[\frac{( a^2 + 1 )^2}{2a - i} = x + iy, \text { then } x^2 + y^2\] is equal to

[4] Complex Numbers and Quadratic Equations
Chapter: [4] Complex Numbers and Quadratic Equations
Concept: undefined >> undefined

If nC4 , nC5 and nC6 are in A.P., then find n.

[6] Permutations and Combinations
Chapter: [6] Permutations and Combinations
Concept: undefined >> undefined
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