Mathematics
y = -2 is the equation of a line.
Assertion (A): Its x-intercept is zero.
Reason (R): It does not intersect x-axis.
Assertion (A) is true, Reason (R) is false.
Assertion (A) is false, Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).
Straight Line Eq
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Answer
Line y = -2 is a line parallel to x-axis at a distance of 2 units from it.
For any point on x-axis the y-coordinate equals to zero, which is not the case with line y = -2.
So, it never intersects the x-axis.
So, reason (R) is true.
The x-intercept is the distance from the origin to the point where the line intersects the x-axis. Since this line never intersects the x-axis, so its x-intercept is undefined.
So, assertion (A) is false.
Thus, Assertion (A) is false, Reason (R) is true.
Hence, option 2 is the correct option.
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