Find, which of the following points lie on the line x – 2y + 5 = 0: - Noon Academy

Find, which of the following points lie on the line x – 2y + 5 = 0:

Class 10 | Equation of a Line | Exercise 14A | ICSE | Maths | Selina

Find, which of the following points lie on the line x – 2y + 5 = 0:

Given line condition is

$x\text{ }-\text{ }2y\text{ }+\text{ }5\text{ }=\text{ }0.$

(i) On subbing

$x\text{ }=\text{ }2\text{ }and\text{ }y\text{ }=\text{ }-\text{ }1.5$

in the given line condition, we have

$L.H.S.\text{ }=\text{ }2\text{ }-\text{ }2\left( -\text{ }1.5 \right)\text{ }+\text{ }5$

$=\text{ }2\text{ }+\text{ }3\text{ }+\text{ }5\text{ }=\text{ }10\text{ }\ne \text{ }R.H.S.$

Henceforth, the

$point\text{ }\left( 2,\text{ }-\text{ }1.5 \right)$

doesn’t lie on the given line.

(ii) On subbing

$x\text{ }=\text{ }-\text{ }2\text{ }and\text{ }y\text{ }=\text{ }-\text{ }1.5$

in the given line condition, we have

$L.H.S.\text{ }=\text{ }-\text{ }2\text{ }-\text{ }2\left( -\text{ }1.5 \right)\text{ }+\text{ }5$

$=\text{ }-\text{ }2\text{ }+\text{ }3\text{ }+\text{ }5\text{ }=\text{ }6\text{ }\ne \text{ }R.H.S.$

Thus, the

$point\text{ }\left( -\text{ }2,\text{ }-\text{ }1.5 \right)$

doesn’t lie on the given line.

i

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