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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 (4, - 6) lies?

Answer : D

Explanation

The point (4,-6) lies in 4th 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 - 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 (1,- 3) ,B(13,9) ,C(10,12) and D(- 2,0) taken all together are the vertices of :

Answer : A

Explanation


AB²= (13-1) ²+ (9+3) ²= (144+144) = 288.
BC²= (10-13) ²+ (12-9) ²= (9+9) = 18
CD²= ((10+2) ²+ (12-0) ²= (144+144) = 288
AD²= (-2-1) ²+ (0+3) ²= (9+9) = 18
∴ ab= cd and BC= AD
Diag AC²= (10-1) ²+ (12+3) ²= (81+225) = 306
Diag BD²= (-2-13) ²+ (0-9) ²= (225+81) = 306
∴Diag AC= Diag BD
∴ ABCD is a rectangle.

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 - In what proportion does the point P (2, - 5) separate the line fragment joining A (- 3, 5) and B (4, - 9)?

Answer : D

Explanation

Let the required ratio be ℏ:1
 Then, the point P is [(4ℏ-3/ℏ+1), (-9ℏ+5/ℏ+1)]
 ∴ 4ℏ-3/ℏ+1 =2,-9ℏ+5/ℏ+1=-5
 ⇒ 4ℏ-3= 2ℏ+2 and -9ℏ+5 = -5ℏ-5
 ⇒ 2ℏ= 5 and 4ℏ=10 ⇒ ℏ= 5/2
 Required ratio is 5/2:1, i.e. 5:2

Q 7 - The slop of a vertical line is

A - 0

B - 1

C - not characterized

D - none of these

Answer : C

Explanation

The slop of a vertical line is not defined.

Q 8 - On the off chance that for a line m= tan ℴ =0 then the line is

Answer : B

Explanation

When m=0, the line is vertical.

Q 9 - A line goes through the point (3, 5) and makes an edge of 135⁰with the x-pivot. The mathematical statement of the line is:

Answer : A

Explanation

The equation of the line is:
 Y-5/x-3 = tan 135⁰ = tan (180⁰-45⁰) = -tan 45⁰ =-1
 ⇒ Y-5 =3-x = > x+y -8 = 0

Q 10 - The estimation of ℏ for which the line2 x+ℏy+7= 0 and 27x-18y+25=0 are opposite to one another, is

Answer : C

Explanation

2x+ℏY+7 =0 ⇒ ℏY =-2-7 ⇒ y = -2x/ℏ- 7/ℏ
 27x-18y +25 =0 ⇒ 18y = 27x+25 ⇒ y= 3x/2 +25/18
 ∴ -2/ℏ *3/2 = -1 ⇒ ℏ =3.

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