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Question (1)

QN0036771

The distance of a point P(x,y) from the y-axis is called its

(A) ordinate
(B) abscissa
(C) origin
(D) coordinate plane

Correct Answer: B

Explanation:

The x-coordinate or abscissa gives the distance of the point from the y-axis.

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Question (2)

QN0036772

Which of the following represents a point on the x-axis?

(A) (0,y)
(B) (x,x)
(C) (x,0)
(D) (0,0) only

Correct Answer: C

Explanation:

Every point on the x-axis has its y-coordinate equal to zero.

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Question (3)

QN0036773

The distance between A(2,3) and B(8,11) is

(A) 8 units
(B) 9 units
(C) 10 units
(D) 12 units

Correct Answer: C

Explanation:

AB = √

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Question (4)

QN0036774

The distance between P(−3,4) and Q(5,−2) is

(A) 8 units
(B) 10 units
(C) 12 units
(D) 14 units

Correct Answer: B

Explanation:

PQ = √

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Question (5)

QN0036775

The distance of P(−8,15) from the origin is

(A) 15
(B) 17
(C) 19
(D) 23

Correct Answer: B

Explanation:

OP = √

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Question (6)

QN0036776

If A(4,0) and B(−7,0), then AB is

(A) 3 units
(B) 7 units
(C) 11 units
(D) 13 units

Correct Answer: C

Explanation:

Both points lie on the x-axis, so AB = |4−(−7)| = 11 units.

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Question (7)

QN0036777

The distance between P(0,−5) and Q(0,9) is

(A) 4 units
(B) 9 units
(C) 14 units
(D) 15 units

Correct Answer: C

Explanation:

Both points lie on the y-axis, so PQ = |−5−9| = 14 units.

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Question (8)

QN0036778

If the distance between A(3,4) and B(x,4) is 7 units, then x can be

(A) 10 only
(B) −4 only
(C) 10 or −4
(D) 7 or −7

Correct Answer: C

Explanation:

|x−3| = 7, so x = 10 or x = −4.

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Question (9)

QN0036779

The distance between A(1,2) and B(7,y) is 10 units. The possible values of y are

(A) 8, −4
(B) 10, −6
(C) 6, −2
(D) 4, −8

Correct Answer: B

Explanation:

100 = 36 + (y−2)², so (y−2)² = 64 and y = 10 or −6.

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Question (10)

QN0036780

The points A(1,2), B(5,5), and C(9,8) are

(A) collinear
(B) vertices of an equilateral triangle
(C) vertices of a right triangle
(D) vertices of an isosceles triangle

Correct Answer: A

Explanation:

AB = 5, BC = 5 and AC = 10. Since AB + BC = AC, the points are collinear.

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Question (1)

The distance of a point P(x,y) from the y-axis is called its

Explanation:

Link:

Question (2)

Which of the following represents a point on the x-axis?

Explanation:

Link:

Question (3)

The distance between A(2,3) and B(8,11) is

Explanation:

Link:

Question (4)

The distance between P(−3,4) and Q(5,−2) is

Explanation:

Link:

Question (5)

The distance of P(−8,15) from the origin is

Explanation:

Link:

Question (6)

If A(4,0) and B(−7,0), then AB is

Explanation:

Link:

Question (7)

The distance between P(0,−5) and Q(0,9) is

Explanation:

Link:

Question (8)

If the distance between A(3,4) and B(x,4) is 7 units, then x can be

Explanation:

Link:

Question (9)

The distance between A(1,2) and B(7,y) is 10 units. The possible values of y are

Explanation:

Link:

Question (10)

The points A(1,2), B(5,5), and C(9,8) are

Explanation:

Link:

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