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Aptitude - Co-ordinate Geometry Online Quiz

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.

Q 1 - In which quadrant does the point (- 5, 7) lies?

Answer : B

Explanation

The point (-5, 7) lies in 2nd quadrant

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

Answer : A

Explanation

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

Q 3 - The separation of the point A (2, - 3) and B (2, 2) is:

Answer : D

Explanation

AB²= (2-2) ²+ (-3-2) ²= 0+25=25 ⇒ AB =√ 25 =5 unit

Q 4 - The vertices of a triangle are A(4,4) ,B(3,- 2) ,C(- 3,16) . The range of the triangle is:

Answer : D

Explanation

Here x₁=4, x₂ = 3, Xᴈ = -3, y₁ =4, y₂= -2 and Yᴈ = 16
 ∆ = 1/2 [x₁(y₂-Yᴈ) +x₂(Yᴈ-y₁) +Xᴈ (y₁-y₂)]
 =1/2 [4(-2-16) +3(16-4)-3(4+2)]
 = 1/2 [(-72+36-18)] = 27 sq. units.

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

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 - The end purposes of a line section AB are A (- 5, 4) and B (7, - 8). Its mid point is:

Answer : A

Explanation

Mid point is C = [(-5+7/2), (4-8/2), i.e. (1,-2)

Q 7 - The slop of a flat line is

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

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=?

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 mathematical statement of a line passing through (3, 4) and parallel to x-pivot is:

Answer : C

Explanation

The equation of the line is y+4/x-3 = tan0= 0 ⇒ y+4 = 0

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