Question

Assertion (A): y + 5 = 0 is the equation of the line parallel to x-axis and at a distance of 5 unit in the negative direction from it.

Reason (R): For all the points on the line y = a (a constant), the value of abscissa is a.

Options

• A is true, R is false.

• A is false, 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.

Answer 1

A is true, R is false.

Explanation:

• Assertion (A) is true because y + 5 = 0 ⇒ y = −5, which represents a horizontal line parallel to the x-axis at a distance of 5 units in the negative direction along the y-axis.
• Reason (R) is false because for all points on the line y = a, the value of the ordinate is a (not the abscissa).