Mathematics
Assertion (A): y + 5 = 0 is the equation of line parallel to x-axis and at the distance of 5 unit in the negative direction from it.
Reason (R): For all the points on the y = a (a constant), the value of abscissa is a.
A is true, but R is false.
A is false, but R is true.
Both A and R are true, and R is the correct reason for A.
Both A and R are true, and R is the incorrect reason for A.
Graphical Solution
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Answer
⇒ y + 5 = 0
⇒ y = -5
This represents a horizontal line (parallel to the x-axis) because the y-coordinate remains constant at -5 for all values of x. The line is 5 units below the x-axis since the y-coordinate of every point is −5, which is 5 units in the negative direction from the x-axis.
∴ Assertion (R) is true.
For all points on the line y = a, the value of ordinate (y-coordinate) = a.
∴ Reason (R) is false.
∴ A is true, but R is false.
Hence, option 1 is the correct option.
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