Assertion (A): The graph of 2x = 1 is a line parallel to y-axis. Reason (R): The equations of the form x = ± k are always parallel to y-axis. 1. A is true, R is false. 2. A is false, R is true. 3. Both A and R are true. 4. Both A and R are false.

Both A and R are true. Explanation Given, 2x = 1 x = This represents a vertical line (parallel to the y-axis) because the value of x remains constant at for all values of y. This line is at a distance of units to the right of the y-axis because the x-coordinate of every point on the line is , which is units in the positive direction along the x-axis. ∴ Assertion (A) is true. For equations of the form x = ± k. These represent vertical lines (parallel to the y-axis) because the value of x remains constant at k or -k for all values of y. ∴ Reason (R) is true. Hence, both Assertion (A) and Reason (R) are true.

Mathematics

Assertion (A): The graph of 2x = 1 is a line parallel to y-axis.
Reason (R): The equations of the form x = ± k are always parallel to y-axis.
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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Mathematics

Assertion (A): The graph of 2x = 1 is a line parallel to y-axis.
Reason (R): The equations of the form x = ± k are always parallel to y-axis.
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

Related Questions

Assertion (A): The slope of line x - y = 8 is - 1.
Reason (R):
x - y = 8
⇒ y = x - 8
∴ Slope = coefficient of x = 1
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.

Mathematics

Assertion (A): The graph of 2x = 1 is a line parallel to y-axis.Reason (R): The equations of the form x = ± k are always parallel to y-axis.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

Related Questions

Assertion (A): The slope of line x - y = 8 is - 1.Reason (R):x - y = 8⇒ y = x - 8∴ Slope = coefficient of x = 1A is true, R is false.A is false, R is true.Both A and R are true.Both A and R are false.

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.

Assertion (A): The graph of 2x = 1 is a line parallel to y-axis.
Reason (R): The equations of the form x = ± k are always parallel to y-axis.
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.

Assertion (A): The slope of line x - y = 8 is - 1.
Reason (R):
x - y = 8
⇒ y = x - 8
∴ Slope = coefficient of x = 1
A is true, R is false.
A is false, R is true.
Both A and R are true.
Both A and R are false.