The line x - y - 3 lies closer to the origin as compared to the line nbsp-x - y - 5 when plotted on the cartesian plane-False-True-

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Graphical representation of a linear equation in 2 variables

The line x + ...

Question

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

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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.

x + y = 3

x + y = 5

y = - 3

(2, - 3)

(- 5, - 8)

x < 0, y, 0.

Which of the following statements are true?

(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. $[4 M a r k s]$

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