Test: Coordinate Geometry - 1 | 25 Questions MCQ Test Mathematics (Maths) Class 9 Class 9

QUESTION: 1

The point A(3, 4) lies in

A.
II Quadrant
B.
I Quadrant
C.
IV Quadrant
D.
III Quadrant

Solution:

QUESTION: 2

A point both of whose co-ordinates are positive lies in

A.
quadrant III only
B.
quadrant I only
C.
quadrant I and III
D.
quadrant II and IV

Solution:

QUESTION: 3

Find the coordinates of the point equidistant from the points A(1, 2), B (3, –4) and C(5, –6).

A.
(12, 3)
B.
(11, 2)
C.
(10, 2)
D.
(11, 3)

Solution:

Let the point be P(x,y)

QUESTION: 4

The point (7, 0) lies

A.
in quadrant IV
B.
on the positive direction of y-axis
C.
in quadrant II
D.
on the positive direction of x-axis

Solution:

QUESTION: 5

The point which lies on y-axis at a distance of 6 units in the positive direction of y-axis is

A.
(-6, 0)
B.
(0, -6)
C.
(0, 6)
D.
(6, 0)

Solution:

QUESTION: 6

The point B(-3, 4) lies in

A.
IV Quadrant
B.
II Quadrant
C.
I Quadrant
D.
III Quadrant

Solution:

QUESTION: 7

A point both of whose co-ordinates are negative lies in

A.
quadrant II and IV
B.
quadrant I and III
C.
quadrant III only
D.
quadrant I only

Solution:

QUESTION: 8

A point of the form (0, b) lies on

A.
x- axis
B.
quadrant III
C.
quadrant I
D.
y- axis

Solution:

QUESTION: 9

The point (0, -4) lies

A.
in quadrant IV
B.
on the negative direction of x-axis
C.
on the negative direction of y-axis
D.
in quadrant III

Solution:

QUESTION: 10

The point which lies on x-axis at a distance of 4 units in the negative direction of x-axis is

A.
(4, 0)
B.
(-4, 0)
C.
(0, 4)
D.
(0, -4)

Solution:

QUESTION: 11

The point C(-5, -2) lies in

A.
III Quadrant
B.
IV Quadrant
C.
I Quadrant
D.
II Quadrant

Solution:

QUESTION: 12

Abscissa of a point is positive in

A.
quadrant I and IV
B.
quadrant I only
C.
quadrant IV only
D.
quadrant II and III

Solution:

QUESTION: 13

The co-ordinates of the origin are

A.
(2, 0)
B.
(0, 2)
C.
(0, 0)
D.
(2, 2)

Solution:

QUESTION: 14

The point (0, 9) lies

A.
in quadrant IV
B.
on the positive direction of y-axis
C.
in quadrant III
D.
on the positive direction of x-axis

Solution:

QUESTION: 15

The point which lies on x-axis at a distance of 3 units in the positive direction of x-axis is

A.
(-3, 0)
B.
(0, 3)
C.
(0, -3)
D.
(3, 0)

Solution:

QUESTION: 16

The point D(3, -6) lies in

A.
II Quadrant
B.
III Quadrant
C.
IV Quadrant
D.
I Quadrant

Solution:

QUESTION: 17

Abscissa of a point is negative in

A.
quadrant IV only
B.
quadrant II and III
C.
quadrant I only
D.
quadrant I and IV

Solution:

QUESTION: 18

The equation of x-axis is

A.
y = x
B.
x = 0
C.
y = 0
D.
none of these

Solution:

QUESTION: 19

Abscissa of all points on the x-axis is

A.
-1
B.
0
C.
any number
D.
1

Solution:

QUESTION: 20

The points A(-2, 3), B(-2, -4) and C(5, -4) are the vertices of the square ABCD, the n the co-ordinates of the vertex D are

A.
(3, -4)
B.
(0, 0)
C.
(3, 3)
D.
(5, 3)

Solution:

QUESTION: 21

Find the co-ordinates of the point equidistant from the points A(1, 2), B(3, -4) and C(5, -6).

A.
(2, 3)
B.
(11, 2)
C.
(0, 3)
D.
(1, 3)

Solution:

The given three points are A(1,2) B(3,-4) and C(5,-6).

Let P (x, y) be the point equidistant from these three points.

So, PA = PB = PC

⇒ x²+ 1– 2x + y² + 4 – 4y = x² + 9 -6x + y² + 16 + 8y = x 2 + 25– 10x + y² + 36 + 12y

⇒ – 2x– 4y + 5 = -6x + 8y +25= – 10x + 12y+61

– 2x– 4y + 5 = -6x + 8y +25

⇒ – 2x– 4y + 5 +6x - 8y -25=0

⇒ 4x– 12y -20=0

⇒ x– 3y - 5 =0....(i)

- 2x– 4y + 5 = – 10x + 12y+61

⇒- 2x– 4y + 5 +10x - 12y-61=0

⇒8x– 16y -56=0

⇒x– 2y -7=0....(ii)

Solving (i) and (ii)

x = 11, y = 2

Thus, the required point is (11, 2)

QUESTION: 22

Ordinate of a point is positive in

A.
quadrant I and II
B.
quadrant IV and III
C.
quadrant I only
D.
quadrant II only

Solution:

QUESTION: 23

The equation of y-axis is

A.
y = x
B.
y = 0
C.
x = 0
D.
none of these

Solution:

QUESTION: 24

Abscissa of all points on the y-axis is

A.
1
B.
any number
C.
0
D.
-1

Solution:

QUESTION: 25

If O(0, 0), A(4, 0) and B(0, 5) are the vertices of a triangle, then ΔOAB is

A.
an isosceles triangle
B.
a right triangle
C.
an obtuse triangle
D.
an equilateral triangle

Solution:

Test: Coordinate Geometry - 1

25 Questions MCQ Test Mathematics (Maths) Class 9 | Test: Coordinate Geometry - 1

The point A(3, 4) lies in

A point both of whose co-ordinates are positive lies in

Find the coordinates of the point equidistant from the points A(1, 2), B (3, –4) and C(5, –6).

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