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Question (1)

QN008939

The distance between two points on the x-axis is found by taking

(A) product of coordinates
(B) absolute difference of x-coordinates
(C) sum of coordinates
(D) average of coordinates

Correct Answer: B

Explanation:

Distance on x-axis is found by taking the absolute difference of x-coordinates.

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Question (2)

QN008940

The distance between the points (2, 0) and (8, 0) is

(A) 4 units
(B) 5 units
(C) 6 units
(D) 10 units

Correct Answer: C

Explanation:

Distance = |8 − 2| = 6 units.

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Question (3)

QN008941

The distance between the points (0, –3) and (0, 5) is

(A) 2 units
(B) 5 units
(C) 8 units
(D) 15 units

Correct Answer: C

Explanation:

Distance = |5 − (−3)| = 8 units.

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Question (4)

QN008942

Which theorem is used to derive the distance formula in the Cartesian plane?

(A) Euclid’s theorem
(B) Baudhāyana–Pythagoras theorem
(C) Thales theorem
(D) Remainder theorem

Correct Answer: B

Explanation:

Distance formula is based on the Baudhāyana–Pythagoras theorem.

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Question (5)

QN008943

The distance between points A(x₁, y₁) and B(x₂, y₂) is

(A) (x₂ − x₁) + (y₂ − y₁)
(B) √
(C) (x₂ + x₁)(y₂ + y₁)
(D) (x₂ − y₂)²

Correct Answer: B

Explanation:

Distance formula is √

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Question (6)

QN008944

Find the distance between (1, 2) and (4, 6).

(A) 3 units
(B) 4 units
(C) 5 units
(D) 6 units

Correct Answer: C

Explanation:

Distance = √

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Question (7)

QN008945

The distance between (–2, 5) and (–2, –3) is

(A) 5 units
(B) 6 units
(C) 7 units
(D) 8 units

Correct Answer: D

Explanation:

Distance = |5 − (−3)| = 8 units.

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Question (8)

QN008946

If two points have the same y-coordinate, then the line segment joining them is

(A) vertical
(B) horizontal
(C) diagonal
(D) curved

Correct Answer: B

Explanation:

Equal y-coordinates form a horizontal line segment.

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Question (9)

QN008947

Find the distance between (–1, –1) and (2, 3).

(A) 4 units
(B) 5 units
(C) 6 units
(D) 7 units

Correct Answer: B

Explanation:

Distance = √

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Question (10)

QN008948

The distance between the points (5, 0) and (–7, 0) is

(A) 2 units
(B) 7 units
(C) 12 units
(D) 35 units

Correct Answer: C

Explanation:

Distance = |5 − (−7)| = 12 units.

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Question (1)

The distance between two points on the x-axis is found by taking

Explanation:

Link:

Question (2)

The distance between the points (2, 0) and (8, 0) is

Explanation:

Link:

Question (3)

The distance between the points (0, –3) and (0, 5) is

Explanation:

Link:

Question (4)

Which theorem is used to derive the distance formula in the Cartesian plane?

Explanation:

Link:

Question (5)

The distance between points A(x₁, y₁) and B(x₂, y₂) is

Explanation:

Link:

Question (6)

Find the distance between (1, 2) and (4, 6).

Explanation:

Link:

Question (7)

The distance between (–2, 5) and (–2, –3) is

Explanation:

Link:

Question (8)

If two points have the same y-coordinate, then the line segment joining them is

Explanation:

Link:

Question (9)

Find the distance between (–1, –1) and (2, 3).

Explanation:

Link:

Question (10)

The distance between the points (5, 0) and (–7, 0) is

Explanation:

Link:

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