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If the sum of first p terms of an A.P. is equal to the sum of first q terms then show that the sum of its first (p + q) terms is zero. (p ≠ q)
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
The first term of an A. P. is 5 and the common difference is 4. Complete the following activity and find the sum of the first 12 terms of the A. P.
a = 5, d = 4, s12 = ?
`s_n = n/2 [ square ]`
`s_12 = 12/2 [10 +square]`
`= 6 × square `
` =square`
Concept: Sum of First ‘n’ Terms of an Arithmetic Progressions
Market value of a share is Rs 200. If the brokerage rate is 0.3% then find the purchase value of the share.
Concept: Shares
The market value of a mutual fund is 400 crore rupees. Which is divided into 8 crore units.
(a) Suppose you invest Rs. 10,000 in the units, how many units will you get ?
(b) While selling the units if their market value is increased by 10%, how much amount will you get by selling them ?
Concept: Mutual Funds and Systematic Investment Plan
The marks scored by students in Mathematics in a certain Examination are given below:
| Marks Scored | Number of Students |
| 0 — 20 | 3 |
| 20 — 40 | 8 |
| 40 — 60 | 19 |
| 60 — 80 | 18 |
| 80 — 100 | 6 |
Draw histogram for the above data.
Concept: Histograms
Draw the frequency polygon for the following frequency distribution
| Rainfall (in cm) | No. of Years |
| 20 — 25 | 2 |
| 25 — 30 | 5 |
| 30 — 35 | 8 |
| 35 — 40 | 12 |
| 40 — 45 | 10 |
| 45 — 50 | 7 |
Concept: Histograms
Given below is the frequency distribution of driving speeds (in km/hour) of the vehicles of 400 college students:
| Speed (in km/hr) | No. of Students |
| 20-30 | 6 |
| 30-40 | 80 |
| 40-50 | 156 |
| 50-60 | 98 |
60-70 |
60 |
Draw Histogram and hence the frequency polygon for the above data.
Concept: Histograms
Represent the following data by Histogram:
|
Price of Sugar per kg (in Rs.) |
Number of Weeks |
| 18-20 | 4 |
| 20-22 | 8 |
| 22-24 | 22 |
| 24-26 | 12 |
| 26-28 | 8 |
| 28-30 | 6 |
Concept: Histograms
Draw a histogram of the following data.
| Height of student (cm) | 135 - 140 | 140 - 145 | 145 - 150 | 150 - 155 |
| No. of students | 4 | 12 | 16 | 8 |
Concept: Histograms
The following frequency distribution table shows marks obtained by 180 students in Mathematics examination.
| Marks | No. of students |
| 0 - 10 | 25 |
| 10 - 20 | x |
| 20 - 30 | 30 |
| 30 - 40 | 2x |
| 40 - 50 | 65 |
Find the value of x. Also draw a histogram representing the above information.
Concept: Histograms
Translate the following word into your medium of instruction:
Success
Concept: English Translation
Translate the following word into your medium of instruction:
Success
Concept: English Translation
भौगोलिक कारणे लिहा:
ब्राझीलमध्ये नियमित हिमवर्षाव होत नाही.
Concept: ब्राझीलमधील हवामान
भौगोलिक कारणे लिहा:
ब्राझीलमध्ये उष्णकटिबंधीय वादळे कमी प्रमाणात होतात.
Concept: ब्राझीलमधील हवामान
भौगोलिक कारणे लिहा.
हिमालयाच्या उंच भागात वनस्पतींची संख्या विरळ आढळते.
Concept: नैसर्गिक वनस्पती व प्राणी
भौगोलिक कारणे लिहा.
ईशान्य ब्राझीलमध्ये वस्त्या विरळ आहेत.
Concept: ब्राझीलमधील वस्त्यांच्या आकृतिबंधाची उदाहरणे
भारत व ब्राझील या दोन्ही देशांची अर्थव्यवस्था __________ प्रकारची अर्थव्यवस्था आहे.
Concept: भारत-ब्राझीलमधील व्यापार
भौगोलिक कारणे लिहा.
भारताच्या अर्थव्यवस्थेत मत्स्य व्यवसायाची भूमिका महत्त्वाची आहे.
Concept: भारतामधील आर्थिक व्यवसाय
भौगोलिक कारणे लिहा.
ब्राझीलमध्ये पर्यावरणस्नेही पर्यटनाचा अधिक विकास केला जात आहे.
Concept: ब्राझीलमधील पर्यटन स्थळे
In the following figure seg AB ⊥ seg BC, seg DC ⊥ seg BC. If AB = 2 and DC = 3, find `(A(triangleABC))/(A(triangleDCB))`
Concept: Properties of Ratios of Areas of Two Triangles
