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Indian Navy SSR (Sailor) Algebra — practice questions

Explore 66 free Algebra questions in Indian Navy SSR (Sailor) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Algebra questions and exercises with answers

Showing questions 1–30 of 66.

tan(45°) equals:Read the answer and worked solution →The distance between two points $P(x_1,y_1)$ and $Q(x_2,y_2)$ is:Read the answer and worked solution →The angle 90° in radians is:Read the answer and worked solution →The function f(x) = tan x has vertical asymptotes at:Read the answer and worked solution →Match each kind of matrix to its conditionRead the answer and worked solution →Sort each matrix by its shapeRead the answer and worked solution →Tap every matrix that must be squareRead the answer and worked solution →Complete the definition of a matrixRead the answer and worked solution →When is a product defined?Read the answer and worked solution →True or false: transposesRead the answer and worked solution →Symmetric or skew symmetric?Read the answer and worked solution →True or false: matrix algebraRead the answer and worked solution →Complete the equality conditionRead the answer and worked solution →Order the steps: is AB defined, and what order is it?Read the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Special square matricesRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Tap every statement true of the identity matrixRead the answer and worked solution →Flip and pair: notation with meaningRead the answer and worked solution →True or false: inversesRead the answer and worked solution →Complete the scalar multiplication rulesRead the answer and worked solution →Which operation needs matching orders?Read the answer and worked solution →Spot the odd one outRead the answer and worked solution →Reading the definitions backRead the answer and worked solution →Assertion and reason: structureRead the answer and worked solution →Order the steps: test whether A is symmetricRead the answer and worked solution →True or false: orders and shapesRead the answer and worked solution →Complete the arc length relationRead the answer and worked solution →

Worked practice questions

tan(45°) equals:

  1. ∞
  2. 0
  3. 1
  4. √3
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Correct answer: C. 1

We have tan(45°) = sin(45°)/cos(45°). That is tan(45°) = (1/√2)/(1/√2). So tan(45°) = 1.

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The distance between two points $P(x_1,y_1)$ and $Q(x_2,y_2)$ is:

  1. $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
  2. $(x_2-x_1)^2+(y_2-y_1)^2$
  3. $\sqrt{(x_2+x_1)^2+(y_2+y_1)^2}$
  4. $\sqrt{(x_2-x_1)^2-(y_2-y_1)^2}$
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Correct answer: A. $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Distance formula: √[(x₂−x₁)²+(y₂−y₁)²].

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The angle 90° in radians is:

  1. $\pi$ (full half-circle)
  2. $2\pi$ (full circle)
  3. $\pi/2$ (quarter circle)
  4. $\pi/4$ (one eighth)
Show answer and solution

Correct answer: C. $\pi/2$ (quarter circle)

180° = π radians. So 90° = π/2 radians. Quarter of a full circle (2π).

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