# 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?

A - First

B - second

C - third

D - fourth

### Explanation

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

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

A - √ a2-b2

B - √a2+b2

C - √a+b

D - (a+b)

### Explanation

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

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)

### 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

### 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:

A - (1, - 3)

B - (2, - 4)

C - (- 1, 2)

D - (- 2, 3)

### 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 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)

### 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 - The slop of a flat line is

A - 0

B - 1

C - -1

D - none of these

### 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

A - - 1/2

B - 1/2

C - 3/4

D - -1

### Explanation

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

Q 9 - The mathematical statement of a line going through the focuses A(- 1,1) and B(2,- 4) is:

A - 3x+5y+2 = o

B - 5x+3y+2 =0

C - 2x+3y+5 =0

D - none of these

### Explanation

```The equation of the line is (y-y₁)/(x-x₁) =
(y₂-y₁)/(x₂-x₁)
i.e., (y-1)/(x+1) = -4-1/2+1 ⇒ (y-1)/(x+1) = -5/3
⇒ 3y-3= -5x-5 ⇒ 5x+3y+2 = 0```

Q 10 - The mathematical statement of a line passing through (3, 4) and parallel to x-pivot is:

A - y-4 =0

B - y-1 =0

C - y+4 = 0

D - none of these

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