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 - On which pivot does the point (6, 0) lies?

A - x-pivot

B - y-hub

C - xy-pivot

D - none of these

Answer : A

Explanation

The point lies on (6, 0) lies on x-axis.

Q 2 - The separation of the point p (8, - 6) from the beginning is:

A - 2 units

B - 14 units

C - 10 units

D - none of these

Answer : C

Explanation

Op = √ (8-0)2+ (-6-0)2 = √64+ 36    = √100 =10 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 (- 3, 0), B (1, - 3) and C (4, 1) are the vertices of

A - An equilateral triangle

B - an isosceles right angle triangle

C - a scalene triangle

D - None of these

Answer : B

Explanation

AB2= (1+3) 2+ (-3-0) 2= 16+9= 25
BC2= (4-1) 2+ (1+3) 2=9+16= 25
AC2= (4+3) 2+ (1-0) 2= 49+1= 50
Clearly, AB= BC and AB2+BC2= AC2
∴ ∆ABC is ab isosceles right angle triangle.

Q 5 - In the event that the focuses A (2, 3), B (5, ℏ) and C (6, 7) are collinear, then ℏ=?

A - 4

B - 6

C - - 3/2

D - 11/4

Answer : B

Explanation

Here x₁=2, x₂= 5, Xᴈ = 6, y₁ =3, y₂= ℏ and Yᴈ = 7
 ∆ = 1/2 [x₁(y₂-Yᴈ) +x₂(Yᴈ-y₁) +Xᴈ (y₁-y₂)]
 <= > 2(ℏ-7) +5(7-3) +6(3-ℏ) =0   4ℏ= 24  ℏ=6

Q 6 - Two vertices of a ∆abc are A (6, 4) and B (- 2, 2) and its centroid is G (3, 4). The directions of C are:

A - (4, 5)

B - (5, 3)

C - (5, 6)

D - (- 3, 3)

Answer : C

Explanation

  Let the co- ordinates of C be (a, b). Then,
 1/3 (6-2+a) =3 and 1/3 (4+2+b) =4
 4+a=9 and 6+b=12  ⇒ a=5, b= 6

Q 7 - y-pivot partitions the join of P (- 4, 2) and Q (8, 3) in the proportion

A - 3:1

B - 1:3

C - 2:1

D - 1:2

Answer : D

Explanation

Let the required ratio be ℏ:1. Then, its co-ordinates are [(8ℏ -4 / ℏ +1, 3ℏ +2/ℏ +1)]
 But lies on y-axis. So, its abscissa is 0.
 ∴ 8ℏ  -4 / ℏ +1=0  ⇒ 8ℏ  -4  =0 ⇒ ℏ =1/2
Required ratio is 1/2:1, i.e. 1:2

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 - On the off chance that the slant of a line joining the focuses A(x,- 3) and B(2,5) is 135⁰ then x=?

A - 5

B - -5

C - 8

D - 10

Answer : D

Explanation

Slop of AB = (5+3)/(2-x) =8/2-x
 ∴ 8/2-x = tan135⁰ = tan (180⁰- 45⁰) = -tan 45⁰ =-1 
8/2-x = -1 ⇒8 = x-2 ⇒ x= 10

Q 10 - The lines 3x-4y+6 =0 and 4x+3y-10 =0 are mutually.

A - Parallel

B - perpendicular

C - opposite

D - none of these

Answer : D

Explanation

3x-4y+6 = 0 ⇒ 4y = 3x+6 ⇒ y =3x/4 +3/2
 4x+3y -10 =0 ⇒ 3y= -4x+10 ⇒ y = -4x/3 + 10/3
 ∴ m₁ = 3/4 and m₂ = -4/3. So, m₁m₂= -1


aptitude_coordinate_geometry.htm

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