Mathematics
Assertion (A): y + 5 = 0 is the equation of line parallel to x-axis and at a distance of 5 units in negative direction from it.
Reason (R): All points on the line y = a, the value of abscissa (x-coordinate) = a.
- A is true, R is false.
- A is false, R is true.
- Both A and R are true.
- Both A and R are false.
Coordinate Geometry
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Answer
A is true, R is false.
Explanation
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.
All points on the line y = a, the value of ordinate (y-coordinate) = a.
∴ Reason (R) is false.
Hence, Assertion (A) is true, Reason (R) is false.
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