Question

Match List-I with List-II

List-I (Statements, etc.)	List-II (Values, etc.)
(A) Coordinates of origin	(I) (0, y)
(B) Distance of a point from itself	(II) (x, 0)
(C) Any point on the y axis	(III) (0, 0)
(D) Any point on the x axis	(IV) 0

Choose the correct answer from the options given below:

• (A) - (I), (B) - (II), (C) - (III), (D) - (IV)
• (A) - (II), (B) - (III), (C) (IV), (D) - (I)
• (A) - (III), (B) - (IV), (C) - (I), (D) - (II)
• (A) - (IV), (B) - (I), (C) - (II), (D) - (III)

Hint:

On the y axis x = 0, on the x axis y = 0, the origin is (0, 0), and the distance of a point from itself is 0.

Answer 1

The Correct Option is C

Step 1: Understanding the Question:
We must match each item of List-I with its value in List-II. All items come from basic coordinate geometry.

Step 2: Match (A) Coordinates of origin:
The origin is the point where the x axis and y axis meet. Both coordinates are zero. So (A) matches (III) (0, 0).

Step 3: Match (B) Distance of a point from itself:
The distance between a point and itself is always zero. So (B) matches (IV) 0.

Step 4: Match (C) Any point on the y axis:
On the y axis, the x coordinate is zero and y can be anything. So the point looks like (0, y). So (C) matches (I).

Step 5: Match (D) Any point on the x axis:
On the x axis, the y coordinate is zero and x can be anything. So the point looks like (x, 0). So (D) matches (II).

Step 6: Compare with the options:
The matching is A-III, B-IV, C-I, D-II. Option (1) gives A-I, which is wrong. Option (2) gives A-II, which is wrong. Option (4) gives A-IV, which is wrong because the origin is a point, not a number. Only option (3) fits.

Final Answer:
The correct matching is A-III, B-IV, C-I, D-II. This is option (3). \[ \boxed{\text{A-III, B-IV, C-I, D-II}} \]