Start learning →

Uttarakhand Board Class 10 Binomial Theorem — practice questions

Explore 72 free Binomial Theorem questions in Uttarakhand Board Class 10 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Binomial Theorem with Quill →

Binomial Theorem questions and exercises with answers

Showing questions 1–30 of 72.

The distance between two points $P(x_1,y_1)$ and $Q(x_2,y_2)$ is:Read the answer and worked solution →The distance of the point $P(x,y)$ from the origin is:Read the answer and worked solution →The midpoint of the segment joining $(x_1,y_1)$ and $(x_2,y_2)$ is:Read the answer and worked solution →The distance between the origin and the point $(3,4)$ is:Read the answer and worked solution →The midpoint of the segment joining $(2,3)$ and $(4,7)$ is:Read the answer and worked solution →The distance between the points $(1,2)$ and $(1,5)$ is:Read the answer and worked solution →The y-coordinate of any point lying on the x-axis is:Read the answer and worked solution →The x-coordinate of any point lying on the y-axis is:Read the answer and worked solution →The distance between the points $(a,b)$ and $(-a,-b)$ is:Read the answer and worked solution →The point dividing the segment from $(1,1)$ to $(4,7)$ in the ratio 1:2 is:Read the answer and worked solution →The distance of the point $(-3,4)$ from the origin is:Read the answer and worked solution →The coordinates of the origin are:Read the answer and worked solution →In which quadrant does the point (−4, 7) lie?Read the answer and worked solution →A point lies on the x-axis when:Read the answer and worked solution →What are the coordinates of the origin?Read the answer and worked solution →Which point lies on the y-axis?Read the answer and worked solution →Identify the quadrant of the point (5, −3).Read the answer and worked solution →Find the distance between (1, 2) and (4, 6).Read the answer and worked solution →Find the distance of (3, 4) from the origin.Read the answer and worked solution →Find the distance between (−2, 1) and (3, 5).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 →Determine whether triangle with vertices A(0, 0), B(4, 0), C(0, 3) is right-angled.Read the answer and worked solution →Find x such that the distance from (x, 1) to (2, 3) is √8.Read the answer and worked solution →Find the midpoint of A(2, −3) and B(8, 5).Read the answer and worked solution →Find the point P that divides the segment joining A(1, 2) and B(7, 8) in the ratio 1 : 2.Read the answer and worked solution →The midpoint of segment AB is (4, 5). If A = (2, 3), what is B?Read the answer and worked solution →Find the point dividing the segment joining (4, −1) and (−2, −3) in the ratio 1 : 3.Read the answer and worked solution →The centroid of a triangle with vertices A(1, 1), B(4, 7), C(7, 1) is:Read the answer and worked solution →Point (3, k) is the midpoint of segment joining (1, 4) and (5, 6). Find k.Read the answer and worked solution →Complete the definition of conditional probabilityRead the answer and worked solution →

Worked practice questions

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. $\sqrt{(x_2-x_1)^2-(y_2-y_1)^2}$
Show answer and solution

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

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

Open this question →

The distance of the point $P(x,y)$ from the origin is:

  1. $x+y$
  2. $\sqrt{x^2+y^2}$
  3. $x^2+y^2$
  4. $\sqrt{x^2-y^2}$
Show answer and solution

Correct answer: B. $\sqrt{x^2+y^2}$

Distance from origin (0,0) to (x,y) is √(x²+y²).

Open this question →

The midpoint of the segment joining $(x_1,y_1)$ and $(x_2,y_2)$ is:

  1. $\left(\dfrac{x_1 x_2}{2},\ \dfrac{y_1 y_2}{2}\right)$
  2. $(x_1+x_2,\ y_1+y_2)$
  3. $\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)$
  4. $\left(\dfrac{x_1-x_2}{2},\ \dfrac{y_1-y_2}{2}\right)$
Show answer and solution

Correct answer: C. $\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)$

Midpoint = average of coordinates: ((x₁+x₂)/2, (y₁+y₂)/2).

Open this question →

How to practise

  1. Choose a Binomial Theorem 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

SequencesGeometryProbability & StatisticsSequences and SeriesVectors & 3D GeometryProbabilityCorrelation and RegressionLinear Programming