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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 (- 3, - 5) lies?

Answer : C

Explanation

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

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

Answer : C

Explanation

Op = √ (8-0)²+ (-6-0)² = √64+ 36    = √100 =10 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:

Answer : D

Explanation

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

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 - The end purposes of the distance across of a circle are A (4,- 1) and B(- 2,- 5). The co-ordinates of its middle are:

Answer : A

Explanation

Co-ordinates of the center are [4+ (-2)/2, -1+ (-5)/2], i.e. (1,-3)

Q 6 - Two vertices of a ∆ ABC are B (- 3, 1) and C (0, - 2) and its centroid is at the inception. The Third vertex A is:

Answer : A

Explanation

  Let the vertex A be (a, b). Then,
 1/3 (-3+0+a) =0 and 1/3 (1-2+b) =0
 = -3 +a =0 and -1 +b=0 ⇒ a=3 and b= 1
 ∴ Vertex A is A (3, 1)

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

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 - A line goes through the focuses A (- 2, 3) and B (- 6, 5). The slop of line AB is

Answer : A

Explanation

  Slop = (y₁ ?y₂)/( x₁-x₂) = (5-3)/(-6+2) = 2/-4 =-1/2

Q 9 - On the off chance that the slop of a line going through the focuses A (2, 5) and B(x, 3) is 2, then x=?

Answer : A

Explanation

   (3-5)/x-2 =2 ⇒ 2x-4 =-2 ⇒ 2x =2 ⇒ x= 1

Q 10 - The lines x+2y-9 =0 and 3x+6y+8 =0 are commonly.

Answer : A

Explanation

x+2y-9 =0 ⇒ 2y = -x+9 ⇒ y= -x/2+9/2 
 3x+6y+8 =0 ⇒ 6y= -3x-8 ⇒ y=-x/2 -4/3
 ∴ m₁: m₂ = -1/2 
 Hence, the given lines are parallel.

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