The question consists of two statements, namely, Assertion (A) and Reason (R). Choose the correct option.
Assertion (A) | Reason (R) |
X + y = 5 is the equation of a line passing through the origin. | Y = mx is the equation of a line passing through the origin. |
We know that, y = mx is the equation of a line passing through the origin.
Since, For, y = mx
If we put x = 0 then, y = m×0 = 0.
Therefore, we get (0, 0) which is origin.
So, y = mx represents a line passing through the origin, therefore, the reason is true.
Now, if we put x = 0 in the equation x + y = 5 then,
0 + y = 5
⇒ y = 5
Therefore, the point is (0,5) which is not origin.
So, x + y = 5 is not the equation of a line passing through the origin, therefore, the assertion is not true.
Hence, Assertion (A) is false and Reason (R) is true.
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