Basics of Coordinate Geometry

The graph of $7x+3y=4$ and $5x-3y=2$, in the $y$-axis at two points having distance -

The area of the triangle is formed by the straight line $3\mathrm{x}+2\mathrm{y}=6$ and the co-ordinate axes is  ______.

The length of a line segment $AB$ is $2 \mathrm{unit}$. It is divided into two part at the point $C$ such that $A{C}^2 = AB\times CB$. What is the length of CB?

What are the coordinates of a point which lies on $x$-axis at a distance of $5 \mathrm{units}$ from the $y$-axis to the left of the origin? What will be the coordinates if it lies on $y$-axis at a distance of $5 \mathrm{units}$ from the $x$-axis above the origin.

In a triangle $ABC$, coordinates of $A$ are $\left(1,2\right)$ and the equations of the medians through $B$ and $C$ are $x+y=5$ and $x=4$ respectively, then find the coordinates of $B$ and $C$.

Plot the points $P\left(3, 3\right)$ and $Q\left(-3, 3\right)$ and join $OP, OQ$ and $PQ$. What figure do you obtain?

Transform the following equations to polar coordinate equations.

$\left(a\right) y=4$

$\left(b\right)3x-y=0$

$\left(c\right) x^2=4y$

$\left(d\right) x^2-2y^2=4$

The equation ${\left(x^2-a^2\right)}^2{\left(x^2-b^2\right)}^2+c^4{\left(y^2-a^2\right)}^2=0$ represents $\left(c\ne 0\right)$

The lines $5\mathrm{x}-12\mathrm{y}-5=0$ and $10\mathrm{x}-24\mathrm{y}+3=0$ are tangents to the same circle. What is the diameter of the circle?

If $\left(x+1,y-2\right)=\left(3,1\right)$, find $x \mathrm{and} y$

The distance of the co-ordinates $\left(3, 4\right)$ from the $\mathrm{x}-\mathrm{axis}$ is 

The weight of Sushanth from birth till $5$ years of age are as follows:

Represent the following data by a line graph.

Look at the given figure:

Look at the given figure:

When you read coordinate points

Look at the given figure:

Draw a nose at $\left(0,0\right)$.

Follow these instructions to draw a face on the grid. When you see an arrow between two pairs, join them with a straight line.

$$\begin{gathered} \left(3,4\right)\leftrightarrow \left(2,3\right)\leftrightarrow \leftrightarrow \left(-2,3\right)\leftrightarrow \\ \left(-3,3\right)\leftrightarrow \left(-3,-2\right)\leftrightarrow \\ \left(0,-4\right)\leftrightarrow \left(3,-2\right)\leftrightarrow \left(3,4\right) \end{gathered}$$

The grid is given.

Draw a star at $\left(2,2\right)$

What is the ordered pair of the star on the grid.

Write the ordered pair for the centre point.