Quiz about Coordinate Geometry

Question 1

Find the distance between the following pairs of points: $$(-5,7);(-1,3)$$

Accepted Answer

Covalent bond

Answer

$$2 \sqrt{2}$$

Answer

$$ \sqrt{2}$$

Answer

$$3 \sqrt{2}$$

Answer

$$4 \sqrt{2} $$

Question 2

Find the distance between the following pairs of points: 
$$(a, b),(-a,-b)$$

Accepted Answer

Covalent bond

Answer

$$5 \sqrt{a^{2}+b^{2}}$$

Answer

$$3 \sqrt{a^{2}+b^{2}}$$

Answer

$$4 \sqrt{a^{2}+b^{2}}$$

Answer

$$2 \sqrt{a^{2}+b^{2}}$$

Question 3

Find the coordinates of the point which divides the join of $$(-1,7)$$ and $$(4,-3)$$ in the ratio $$2: 3.$$

Accepted Answer

Covalent bond

Answer

$$(2,3)$$

Answer

$$(1,3)$$

Answer

$$(1,4)$$

Answer

$$(2,4)$$

Question 4

Find the ratio in which the line segment joining $${A}(1,-5)$$ and $${B}(-4,5)$$ is divided by the $$x$$ -axis.

Accepted Answer

Covalent bond

Answer

$$1:2$$

Answer

$$1:1$$

Answer

$$1:3$$

Answer

$$1:4$$

Question 5

Let $${A}(4,2), {B}(6,5)$$ and $${C}(1,4)$$ be the vertices of $$	riangle {ABC}$$. Find the coordinates of the centroid of the triangle.

Accepted Answer

Covalent bond

Answer

$$(\frac{11}{3}, \frac{11}{3})$$

Answer

$$(\frac{10}{3}, \frac{10}{3})$$

Answer

$$(\frac{17}{3}, \frac{17}{3})$$

Answer

$$(\frac{13}{3}, \frac{13}{3})$$

Ncert Textbook Coordinate Geometry Gseb Class 10 Maths Problems and Solutions