UP Board Class 10 Trigonometry — practice questions

Explore 4 free Trigonometry questions in UP Board Class 10 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Trigonometry questions and exercises with answers

Showing questions 1–4 of 4.

In an equation written as y = 3 x - 6, the dependent variable isRead the answer and worked solution →Match each average to its meaningRead the answer and worked solution →If the sum of the first $n$ terms of an AP is $S_n=4n-n^2$, what is the $n$th term of the AP?Read the answer and worked solution →Tap every prime numberRead the answer and worked solution →

Worked practice questions

In an equation written as y = 3 x - 6, the dependent variable is

x
y
both x and y
neither x nor y

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Correct answer: B. y

1. Section 26.2 explains dependent and independent variables. 2. Here y is written as the subject of the equation. 3. Its value depends on the value chosen for x. 4. So y is the dependent variable. _Source: Selina Concise Mathematics Class 9, Ch 26 Co-ordinate Geometry (Mistral OCR'd PDF), section 26.2_

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Match each average to its meaning

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Matching pairs

Left
Mean
Right
Sum of the values over how many there are
Left
Median
Right
The middle value once they are sorted
Left
Mode
Right
The value that occurs most often

Instructions

Tap a measure on the left, then tap what it means.

_Source: syllabus Maths Ch13 Statistics, 13.2 Mean of Grouped Data_

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If the sum of the first $n$ terms of an AP is $S_n=4n-n^2$, what is the $n$th term of the AP?

$5-2n$
$4-n$
$3-2n$
$5-n$

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Correct answer: A. $5-2n$

The $n$th term is $a_n=S_n-S_{n-1}$. Here, $$S_{n-1}=4(n-1)-(n-1)^2=4n-4-(n^2-2n+1)= -n^2+6n-5.$$ So $$a_n=(4n-n^2)-(-n^2+6n-5)=5-2n.$$ Hence the $n$th term is $5-2n$.

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