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(English Medium) ICSE Class 10 - CISCE Question Bank Solutions

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Construct histograms for following frequency distribution: 

Class Mark  6 12 18 24 30 36
Frequency 8 12 15 18 25 7
[19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Chapter: [19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Concept: undefined >> undefined

Construct histograms for following frequency distribution: 

Class Mark  15 25 35 45 50 55 60
Frenuencv  6 12 15 18 25 14 10
[19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Chapter: [19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Concept: undefined >> undefined

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Construct histograms for following frequency distribution: 

Class Interval  110-119 120-129  130-139  140-149  150-159 
Frequency  15 23 30 20 16
[19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Chapter: [19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Concept: undefined >> undefined

Construct histograms for following frequency distribution: 

Class Interval  1-10  11-20  21-30  31-40  41-50 
Frequency  11 23 30 20 16
[19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Chapter: [19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Concept: undefined >> undefined

Construct histograms for following frequency distribution: 

Class Interval  130-140  140-150  150-160  160-170  170-180 
Frequency  24 16 29 20 11
[19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Chapter: [19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Concept: undefined >> undefined

Construct a frequency polygon without using a histogram for the following frequency distribution :

Class Interval  1-10 11-20 21-30 31-40 41-50
Frequency 8 12 10 16 6
[19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Chapter: [19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Concept: undefined >> undefined

Construct a frequency polygon without using a histogram for the following frequency distribution :

Class Interval 10-20 20-40 40-60 60-80 80-100
Frequency 9 17 15 20 14
[19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Chapter: [19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Concept: undefined >> undefined

Construct a frequency polygon without using a histogram for the following frequency distribution :

Class Mark 10 15 20 25 30 35 40
Frequency 4 20 40 45 30 25 5
[19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Chapter: [19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Concept: undefined >> undefined

Prove the following identity :

`(1 - sin^2θ)sec^2θ = 1`

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Prove the following identity :

`(1 - cos^2θ)sec^2θ = tan^2θ`

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Prove the following identity :

tanA+cotA=secAcosecA 

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Prove the following identity :

`sinθ(1 + tanθ) + cosθ(1 +cotθ) = secθ + cosecθ` 

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Prove the following identity :

 ( 1 + cotθ - cosecθ) ( 1 + tanθ + secθ) 

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Prove the following identity :

sinθcotθ + sinθcosecθ = 1 + cosθ  

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Prove the following identity :

secA(1 - sinA)(secA + tanA) = 1

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Prove the following identity :

secA(1 + sinA)(secA - tanA) = 1

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Prove the following identity :

cosecθ(1 + cosθ)(cosecθ - cotθ) = 1

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Prove the following identity :

`(tanθ + secθ - 1)/(tanθ - secθ + 1) = (1 + sinθ)/(cosθ)`

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Prove the following identity:

`cosA/(1 + sinA) = secA - tanA`

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Prove the following identity :

`(1 + sinA)/(1 - sinA) = (cosecA + 1)/(cosecA - 1)`

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined
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