The Coordinate Grid

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

A flat surface which extends indefinitely in all directions is called ___________ .

Which of the following points lies on the line $y=3x+4$

Which of the following point lie inside the triangle formed by x+y=5 and the coordinate axes?

The coordinates of the point where line $\frac{x}{a}+\frac{y}{b}=7$ intersects $y$-axis are

Which option is true about these points $\left(1,1\right), \left(2,2\right), \left(-2,-2\right)$:

In which quadrant the following point lies

$\left(5, 3\right)$

In which quadrant or on which axis the following point lies

$\left(3, 3\right)$

In the Cartesian plane, the vertical line is called $y$‐axis.

The point where the two axes intersect in $2D$ coordinate system is called the _____.

Define coordinate system and explain the reference point in the coordinate system.

Point out the quadrant in which the point $(-6,-10)$ lies.

The foot of the perpendicular from $P(-3,2)$ to the $y-$axis is $M$ then, co-ordinates of $M$ are

Draw the graph for equation given below; hence find the co-ordinates of the points where the graph drawn meets the co- ordinate axes

$\frac{1}{3}x+\frac{1}{5}y=1$

Let A, B, and C be three distinct points on the graph of $\mathrm{y}={\mathrm{x}}^2$ such that line AB is parallel to the x-axis, and $∆\mathrm{ABC}$ is a right triangle with area $2008 \mathrm{sq}.$ units. What is the sum of the digits of the y-coordinate of C?

The following parabolic curves represent a general quadratic polynomial function $y=f\left(x\right)=a{x}^2+bx+c$

Find the values of $abc$  in each case and choose the correct option

The following parabolic curves represent a general quadratic polynomial function $y=f\left(x\right)=a{x}^2+bx+c$

Find the values of $a+b+c$ in each case and choose the correct option.

The following parabolic curves represent a general quadratic polynomial function $y=f\left(x\right)=a{x}^2+bx+c$

Find the values of $a-b+c$  in each case and choose the correct option

The following parabolic curves represent a general quadratic polynomial function $y=f\left(x\right)=a{x}^2+bx+c$

Find the values of $a+b+c$  in each case and choose the correct option.

Which of the following Intersect x-axis at two distinct points?