The line x + y = 3 lies closer to the origin as compared to the line x + y = 5 when plotted on the cartesian plane.

True

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False

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Solution

The correct option is A
True

Let us consider the equation x + y = 3
when x = 0 then y = 3
similarly, when y = 0 then x = 3

Let us consider the equation x + y = 5
when x = 0 then y = 5
similarly, when y = 0 then x = 5

By plotting the graphs of both of the equations, we can easily observe that the line x + y = 3 lies closer to the origin.

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Similar questions

Q. Plot the line

y = - 3

on the cartesian plane.

A point P lies on the line y = 2x in the first quadrant. Another point Q lies on the line y = 3x in the first quadrant. Suppose QP is perpendicular to the line y = 2x and QP = 5. The distance of P from the origin is:

Q. State True or False and write the correct statement.
1. In the cartesian plane the horizontal line is called Y-axis.
2. In the cartesian plane the vertical line is called Y-axis.
3. The point which lies both the axes is called origin.
4. The point

(2, - 3)

lies in the third quadrant.
5.

(- 5, - 8)

lies in the fourth quadrant.
6. The point (-x,-y) lies in the first quadrant where

x < 0, y, 0.

State, true or false :

(i) the line $\frac{x}{2} + \frac{y}{3} = 0$ passes through the point (2, 3).

(ii) the line $\frac{x}{2} + \frac{y}{3} = 0$ passes through the point (4, -6).

(iii) the point (8, 7) lies on the line y - 7 = 0

(iv) the point (-3, 0) lies on the line x + 3 = 0

(v) if the point (2, a) lies on the line 2x - y = 3, then a = 5.

Which of the following point lies on the line 3x - 5y = 7?

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