Statement-1 (A): Every point on x-axis represents a solution of t… - Vidyadip

MCQ

Statement-1 (A): Every point on x-axis represents a solution of the equation y = 0.
Statement-2 (R): Points on x-axis are of the form (k, 0), where k is a variable.

✓
Statement-1 and Statement-2 are True; Statement-2 is a correct explanation for Statement-1.
B
Statement-1 and Statement-2 are True; Statement-2 is not a correct explanation for Statement-1.
C
Statement-1 is True, Statement-2 is False.
D
Statement-1 is False, Statement-2 is True.

✓

Answer

Correct option: A.

Statement-1 and Statement-2 are True; Statement-2 is a correct explanation for Statement-1.

(a)
The y-coordinate of every point on x-axis is zero. So, points on x-axis are of the form (k, 0), where k is a variable. Thus, statement-2 is true.
For any point on x-axis, we have x = k and y = 0. These values of x and y satisfy the equation $0 x+1 . y = 0$ i.e. $y=0$. Hence, every point on x-axis represents a solution of the equation y = 0. So, statement-1 is true. Also, statement-2 is a correct explanation for statement-1.
Hence, option (a) is correct.

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