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

Answer : A

Explanation

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

Q 2 - The separation between the point A (b, 0) and B (0, a) is:

Answer : B

Explanation

AB =   √ (b-0)²+ (0-a) ²   = √ b²+a² = √a²+b²

Q 3 - In the event that the separation of the point p(x, y) from A (a, 0) is a+x, then y²=?

Answer : B

Explanation

(x-a) ²+(y-o) ²= a+x
⇒ (x-a) ²+y²= (a+x) ²⇒y²=(x+a) ²-(x-a) ²= 4ax ⇒ y²=4ax

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 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 - 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:

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 - The slop of a flat line is

Answer : A

Explanation

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

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 estimation of ℏ for which the line x+2y-9= 0 and ℏx+4y+5 =0 are parallel, is

Answer : A

Explanation

Since the given lines are parallel, we have 1/ℏ =2/4 ⇒ ℏ = 2

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