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Indian Navy INET Logarithms — practice questions

Explore 48 free Logarithms questions in Indian Navy INET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Logarithms questions and exercises with answers

Showing questions 1–30 of 48.

The midpoint of the segment joining $(2,3)$ and $(4,7)$ is:Read the answer and worked solution →What are the coordinates of the origin?Read the answer and worked solution →Are the points A(1, 1), B(2, 3), C(3, 5) collinear?Read the answer and worked solution →The double angle formula sin 2A equals:Read the answer and worked solution →Which logarithm value is larger?Read the answer and worked solution →Sort each inverse function into its domainRead the answer and worked solution →Tap every function whose domain is [−1, 1]Read the answer and worked solution →Match each inverse function to its domainRead the answer and worked solution →Match each inverse function to its principal value branchRead the answer and worked solution →Flip and pair: function with its principal rangeRead the answer and worked solution →Which principal ranges sit around zero, and which run 0 to π?Read the answer and worked solution →Tap every function whose principal range has a point removedRead the answer and worked solution →Name the principal value branchRead the answer and worked solution →Domain checkRead the answer and worked solution →Put the reasoning in order: why an inverse needs a restricted domainRead the answer and worked solution →True or false: existence of inversesRead the answer and worked solution →True or false: reading the tableRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Complete the summary tableRead the answer and worked solution →Complete the rule about restricting a domainRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Principal values worked in the chapterRead the answer and worked solution →Order the steps for finding a principal valueRead the answer and worked solution →True or false: principal valuesRead the answer and worked solution →Match each identity to the condition it needsRead the answer and worked solution →Assertion and reason: identitiesRead the answer and worked solution →Match each mathematician to the year your syllabus givesRead the answer and worked solution →Trace how trigonometry travelledRead the answer and worked solution →

Worked practice questions

The midpoint of the segment joining $(2,3)$ and $(4,7)$ is:

  1. (6, 10)
  2. (1, 2)
  3. (2, 4)
  4. (3, 5)
Show answer and solution

Correct answer: D. (3, 5)

((2+4)/2, (3+7)/2) = (3,5).

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What are the coordinates of the origin?

  1. (1, 0)
  2. (0, 1)
  3. (1, 1)
  4. (0, 0)
Show answer and solution

Correct answer: D. (0, 0)

The origin is the intersection of the two axes: x = 0 and y = 0, so the coordinates are (0, 0).

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Are the points A(1, 1), B(2, 3), C(3, 5) collinear?

  1. Yes
  2. Cannot tell
  3. No
  4. Only if rotated
Show answer and solution

Correct answer: A. Yes

AB = √(1+4) = √5. BC = √5. AC = √(4+16) = √20 = 2√5 = AB + BC. The three are collinear.

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