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Maharashtra SSC (Class 10) Trigonometry — practice questions

Explore 3 free Trigonometry questions in Maharashtra SSC (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 1–3 of 3.

In an equation written as y = 3 x - 6, the dependent variable isRead the answer and worked solution →If the two lines represented by a pair of linear equations intersect at a single point, the pair hasRead 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 →

Worked practice questions

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

  1. x
  2. y
  3. both x and y
  4. 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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If the two lines represented by a pair of linear equations intersect at a single point, the pair has

  1. a unique solution
  2. no solution
  3. infinitely many solutions
  4. exactly two solutions
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Correct answer: A. a unique solution

1. The solution of a pair of linear equations is the point(s) common to both lines. 2. Two lines that intersect meet at exactly one point, giving **a unique solution**. 3. Such a pair is consistent. _Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch3 'Pair of Linear Equations in Two Variables', §3.2_

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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?

  1. $5-2n$
  2. $4-n$
  3. $3-2n$
  4. $5-n$
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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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More Mathematics topics

Real Numbers and PolynomialsStatistics and ProbabilityArithmetic ProgressionQuadratic EquationsIntroduction to TrigonometryMensuration: Surface Areas & VolumesAlgebra: Simultaneous Linear Equations & QuadraticsAlgebra: Equations, Inequations & Matrices