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 (- 3, - 5) lies?

A - First

B - second

C - third

D - fourth

Answer : C

Explanation

The point (-3,-5) lies in 3rd quadrant

Q 2 - The separation of the point A (7, 4) and B (0, a) is:

A - 6 units

B - 3 units

C - 4 units

D - 5 unit

Answer : D

Explanation

AB2 = (7-3)2+ (4-1)2 = (42+32) = (16+9) =25 ⇒ AB= √25 = 5 unit.

Q 3 - A will be a point on y-pivot at a separation of 4unit from y-hub lying underneath x-hub. The co-ordinates of an are:

A - (4, 0)

B - (0, 4)

C - (- 4, 0)

D - (0, - 4)

Answer : D

Explanation

Clearly, The co- ordinates Of A are A (0,-4).

Q 4 - The vertices of a quadrilateral ABCD are A(0,0) ,B(4,4) ,C(4,8) and D(0,4).Then ABCD is a

A - A square

B - a rhombus

C - a rectangle

D - none of these

Answer : D

Explanation

vertices
AB2= (4-0) 2+ (4-0) 2= 32
 BC2= (4-4) 2+ (8-4) 2= 0+16= 16
 CD2= (0-4) 2+ (4-8) 2= (16+16) = 32
 AB= CD= √32 = 4√2, BC= AD =√16 = 4
 AC2= (4-0) 2+ (8-0) 2= (16+64) = 80
 BD2= (0-4) 2+ (4-4) 2= 16+0= 16
 ∴ Diag = AC≠Diag BD.
 ∴ ABCD is a parallelogram.

Q 5 - The vertices of a triangle are A (3, 8), B (- 4, 2) and C (5, - 1). The region of ∆ ABC is:

A - 57/2 sq. unit

B - 75/2 sq. unit

C - 57 sq. unit

D - 75 q. units

Answer : B

Explanation

Here x₁=3, x₂= -4, Xᴈ = 5, y₁ =8, y₂= 2 and Yᴈ = -1
 ∆ = 1/2 [x₁(y₂-Yᴈ) +x₂(Yᴈ-y₁) +Xᴈ (y₁-y₂)]
 =1/2 [3(2+1)-4(-1-8) +5(8-2)] = 1/2 (9+36+30) = 75/2 sq.unit.

Q 6 - A point C partitions the join Of A (1, 3) and B (2, 7) in the proportion 3:4. The co-ordinates of C are:

A - (5/3, 5)

B - (- 2, - 9)

C - (10/7, 33/7)

D - (3/2, 5)

Answer : C

Explanation

Co-ordinates of C are [(5*2+4*1/3+4), (3*7+4*3/ 3+4) i.e. (10/7, 33/7)

Q 7 - In what proportion is the line portion joining the focuses A (6, 3) and B (- 2, - 5) partitioned by the x-hub?

A - 3:2

B - 3:5

C - 1:2

D - 2:5

Answer : C

Explanation

  Let x-axis cut the join of A (6, 3) and B (-2,-5) in the ratio ℏ:1 at the point.
 Then, co-ordinates of P are P [(-2ℏ+6/ℏ+1), (-5ℏ+3/ℏ+1)
 But, P lies on x-axis. So, its ordinate is 0. 
 ∴ -5ℏ+3/ℏ+1 =0 ⇒ -5ℏ+3 =0 ⇒ ℏ= 3/5
 Required ratio is 3/5:1 i.e., 1:2.

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

A - ℴ= 0

B - ℴ is intense

C - ℴ= 90⁰

D - ℴ is inhumane

Answer : C

Explanation

m tan ℴ>0 ⇒ℴ is acute.

Q 9 - The slop of a line going through the focuses A (3, - 1) and B (3, 2) is:

A - 0

B - 3

C - not characterized

D - none of these

Answer : C

Explanation

Slop = (y₁ ?y₂)/( x₁-x₂) = (2+1)/ (3-3) = 3/0, which is not defined

Q 10 - The point made by the line x+√3y-6 =0 with positive course of x-pivot is

A - 120⁰

B - 150⁰

C - 30⁰

D - 60⁰

Answer : B

Explanation

   x+√3y-6= 0 ⇒ √3y= -x+6 ⇒ y = -1x/ √3+ 6/√3
 ∴ m = tan ℴ =-1/√3 = -tan 30⁰ = tan (180⁰-30⁰) = tan150⁰
 ∴ ℴ = 150⁰
aptitude_coordinate_geometry.htm
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