Aptitude - Co-ordinate Geometry Online Quiz


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Following quiz provides Multiple Choice Questions (MCQs) related to Co-ordinate Geometry. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Questions and Answers

Q 1 - In which quadrant does the point (2, 5) lies?

A - First

B - second

C - third

D - fourth

Answer : A

Explanation

The Point (2, 5) lies in 1st quadrant

Q 2 - The separation of the point A (- 5, 0) from the beginning is:

A - 5 units

B - √10 units

C - √ 5 units

D - none of these

Answer : A

Explanation

OA = √ (0+5)2+ (0+0)2   = √ 25     = 5 unit.

Q 3 - P is a point on x-hub at a separation of 3 units from y-pivot on its right side. The co-ordinates of P are:

A - (3, 0)

B - (0, 3)

C - (3, 3)

D - (- 3, 3)

Answer : A

Explanation

   Clearly, the co-ordinates of P are P (3, 0).

Q 4 - The focuses A (1,2) ,B(5,4) ,C(3,8) and D(- 1,6) taken all together are the vertices of

A - A rectangle

B - a rhombus

C - a square

D - none of these

Answer : C

Explanation

vertices
AB2= (5-1) 2+ (4-2) 2= (16+4) = 20
BC2= (3-5) 2+ (8-4) 2= (4+16) = 20
CD2= (-1-3) 2+ (6-8) 2= (16+4) = 20
DA2= (1+1) 2+ (2-6) 2= (4+16)=20
∴ AB= BC= CD= DA= √20
Diagonal AC2= (3-1) 2+ (8-2) 2= (4+36) = 40
Diagonal BD2= (-1-5) 2+ (6-4) 2= (36+4) = 40
∴ Diag AC= Diag BD =√40
∴ ABCD is a square.

Q 5 - In the event that the focuses A(1,- 1) , B(5,2) and C(ℏ,5) are collinear , then ℏ=?

A - 6

B - -3

C - 0

D - 4

Answer : C

Explanation

Here x₁=1, x₂= 5, Xᴈ = ℏ, y₁ =-1, y₂= 2 and Yᴈ = 5
 ∆ = 1/2 [x₁(y₂-Yᴈ) +x₂(Yᴈ-y₁) +Xᴈ (y₁-y₂)]
  1. (2-5) +5(5+1) +ℏ (-1-2) = 0
  -3+30-3ℏ=0   3ℏ =27  ℏ =0

Q 6 - In what proportion does the point P (2, - 5) separate the line fragment joining A (- 3, 5) and B (4, - 9)?

A - 2:3

B - 4:3

C - 5:1

D - 5:2

Answer : D

Explanation

Let the required ratio be ℏ:1
 Then, the point P is [(4ℏ-3/ℏ+1), (-9ℏ+5/ℏ+1)]
 ∴ 4ℏ-3/ℏ+1 =2,-9ℏ+5/ℏ+1=-5
 ⇒ 4ℏ-3= 2ℏ+2 and -9ℏ+5 = -5ℏ-5
 ⇒ 2ℏ= 5 and 4ℏ=10 ⇒ ℏ= 5/2
 Required ratio is 5/2:1, i.e. 5:2

Q 7 - The slop of a flat line is

A - 0

B - 1

C - -1

D - none of these

Answer : A

Explanation

The slop of a horizontal line is m= tan ℴ =0

Q 8 - On the off chance that for a line m= tan ℴ<0, then

A - ℴ is intense

B - ℴ is inhumane

C - ℴ= 90⁰

D - none of these

Answer : D

Explanation

m tan ℴ <0 ⇒ ℴ is obtuse.

Q 9 - A line goes through the point (3, 5) and makes an edge of 135⁰with the x-pivot. The mathematical statement of the line is:

A - x+y-8 = 0

B - x-y+8

C - x-y-8= 0

D - none of these

Answer : A

Explanation

The equation of the line is:
 Y-5/x-3 = tan 135⁰ = tan (180⁰-45⁰) = -tan 45⁰ =-1
 ⇒ Y-5 =3-x = > x+y -8 = 0

Q 10 - The estimation of ℏ for which the line2 x+ℏy+7= 0 and 27x-18y+25=0 are opposite to one another, is

A - ℏ= - 1

B - ℏ= 2

C - ℏ= 3

D - ℏ = - 2

Answer : C

Explanation

2x+ℏY+7 =0 ⇒ ℏY =-2-7 ⇒ y = -2x/ℏ- 7/ℏ
 27x-18y +25 =0 ⇒ 18y = 27x+25 ⇒ y= 3x/2 +25/18
 ∴ -2/ℏ *3/2 = -1 ⇒ ℏ =3.

aptitude_coordinate_geometry.htm
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