Start learning →

Assam CEE Incentre — practice questions

Explore 1 free Incentre questions in Assam CEE Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Incentre with Quill →

Incentre questions and exercises with answers

Showing questions 1–1 of 1.

If $A(0, 3, 0), B(0, 0, 4), C(0, 3, 4)$ are vertices of a triangle, the position vector of its **incentre** is:Read the answer and worked solution →

Worked practice questions

If $A(0, 3, 0), B(0, 0, 4), C(0, 3, 4)$ are vertices of a triangle, the position vector of its **incentre** is:

  1. $2\hat j + 3\hat k$
  2. $3\hat j + 2\hat k$
  3. $\hat j + \hat k$
  4. $(\hat j + \hat k)/2$
Show answer and solution

Correct answer: A. $2\hat j + 3\hat k$

**Compute side lengths:** $|AB| = 5, |AC| = 4, |BC| = 3$. Incentre $H = (|BC|\,\vec a + |AC|\,\vec b + |AB|\,\vec c)/(|BC|+|AC|+|AB|)$. **Substituting:** $H = (3(3\hat j) + 4(4\hat k) + 5(3\hat j + 4\hat k))/12 = (24\hat j + 36\hat k)/12 = 2\hat j + 3\hat k$, i.e. the point $(0, 2, 3)$.

Open this question →

How to practise

  1. Choose a Incentre question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

More Mathematics topics

SequencesProbability & StatisticsBinomial TheoremSequences and SeriesGeometryLinear ProgrammingLimits and ContinuityPermutations and Combinations