Coordinate System in 2D

If coordinates of A and B are $\left(5, 6\right)$ and $\left(9, 10\right)$ respectively then the length of line segment AB is:

The line passing through the points $(-2,8)$ and $(5,7)$?

A polygon with minimum number of sides is:

The equation of a straight line passing through the intersection of the lines $x+y+1=0$, $2x-y+5=0$ and through the point $(5,-2)$.

In gradient-intercept form of equation $\mathrm{y}=\mathrm{mx}+\mathrm{c}$, the $\text{'}\mathrm{m}\text{'}$ denotes:

A line segment $AB$ is denoted as:

In the gradient-intercept form of equation $y = mx + c$, the point where line cuts $y$-axis is:

Which of the following is pair of opposite sides in the given figure.

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

The equations are:
$$\begin{gathered} 3x+4y=10 \\ -x+2y=0 \end{gathered}$$
have the solution $(a, b)$. The value of $a+b$ is _____

Two lines meeting at a point are called ___________ .

If the points $A(4,3)$and $B(x,5)$are on the circle with Centre$O(2,3)$. Find the value of $x$.

In the given figure, the ray will be named as ______.

Which of the following is an open curve?

Consider the location of a warehouse to distribute book for the cities of Bombay, Bangalore and Calcutta are$55,000 , 20,000$and $25,000$ units respectively. Using some appropriate origin the (x, y) co-ordinates of Bombay, Bangalore and Calcutta can be approximated as $(10, 20), (20, 10)$ and $(30,30)$ respectively. The (x,y) co ordinates of the optimal location would be

Three or more points lying on the same line are known as ___________ points.

$ABCD$ is a parallelogram, $AB=14cm$, $BC=18cm$ and $AC=16cm$. Find the length of the other diagonal.

A line segment has:

$A$ and $B$ are two fixed points $5 cm$ a part with each other and $C$ is a point on $A,B$ such that $AC$ is $3 cm$. If the length of $AC$ is increased by $6\raisebox{1ex}{$0$}\!\left/ \!\raisebox{-1ex}{$0$}\right.$, the length of CB is decreased by :

The number of points a line can have been: