Class 9 Mathematics MCQ Coordinate Geometry

Question :If x coordinate of a point is zero, then the point lies on:
(a) First quadrant
(b) Second quadrant
(c) X-axis
(d) Y-axis

Question : The co-ordinates of the origin are
(a) (2, 0)
(b) (0, 2)
(c) (0, 0)
(d) (2, 2)

Question : Ordinate of all the points in the x-axis is:
(a) 0
(b) 1
(c) –1
(d) Any natural number

Question : If the coordinates of a point are (-3,-4), then it lies in:
(a) First quadrant
(b) Second quadrant
(c) Third quadrant
(d) Fourth quadrant

Question : Mirror image of the point (9, -8) in y-axis is
(a) (-9, -8)
(b) (9, 8)
(c) (-9, 8)
(d) (-8, 9)

Question : 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)

Question : The abscissa or x-coordinate of any point on Y-axis is:
(a) Three
(b) Two
(c) One
(d) Zero

Question : The section formed by horizontal and vertical lines determining the position of point in a cartesian plane is called:
(a) Origin
(b) X-axis
(c) Y-axis
(d) Quadrants

Question : The name of vertical line in the cartesian plane which determines the position of a point is called:
(a) Origin
(b) X-axis
(c) Y-axis
(d) Quadrants

Question : If the points A(2, 0), B(-6, 0) and C(3, a – 3) lie on the x-axis, then the value of a is
(a) 0
(b) 2
(c) 3
(d) -6

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

(i) (12, 3)
(b) (11, 2)
(c) (10, 2)
(d) (11, 3)

Question : If (2, 2p + 2) is the mid-point of (3p, 4) and (-2, 2q), then the value of p and q are
(a) 3, 6
(b) 7, 9
(c) 2, 4
(d) 8, 10

Question : The point of intersection of X and Y axes is called :
(a) Origin
(b) Null point
(c) Common point
(d) None of these

Question : Points (1,2), (-2,-3), (2,-3);
(a) First quadrant
(b) Do not lie in the same quadrant
(c) Third quadrant
(d) Fourth quadrant

Question : Find the ratio in which the line joining the points (6, 4) and (1, –7) is divided by x-axis.
(a) 1 : 3
(b) 2 : 7
(c) 4 : 7
(d) 6 : 7

Question : A point of the form (0, (ii) lies on
(a) x- axis
(b) quadrant III
(c) quadrant I
(d) y- axis

Question : Abscissa of all points on the x-axis is
(a) -1
(b) 0
(c) any number
(d) 1

Question : Ordinate of all the points in the x-axis is:
(a) 0
(b) 1
(c) –1
(d) Any natural number

Question : The mirror image of the point (-3, -4) in x-axis is
(a) (-4, -3)
(b) (3, -4)
(c) (3, 4)
(d) (-3, 4)

Question : The point M lies in the IV quadrant. The coordinates of point M are
(a) (a, (ii)
(b) (-a, (ii)
(c) (a, -(ii)
(d) (-a, -(ii)

Question : 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

Question : The points (a, (i) (–a, (i) and (– (√3) a, (√3)(i) form the vertices of an :
(a) Scalene triangle
(b) Right angled triangle
(c) Isosceles Right angled triangle
(d) Equilateral triangle

Question : The coordinates of any point on the y-axis are of the form (0, k), where |k| is the distance of the point from the:
(a) y-axis
(b) x-axis
(c) (0, 1)
(d) (1, 0)

Question : The points (–4,–8) lies in:
(a) First quadrant
(b) Second quadrant
(c) Third quadrant
(d) Fourth quadrant

Question : The number of parts the coordinates axes divide the plane is
(a) Two parts
(b) Four parts
(c) Six parts
(d) Eight parts

Question : Points (6, 8), (3, 7), (–2, –2) and (1, –1) are joined to form a quadrilateral. What will be the structure of quadrilateral?
(a) Rhombus
(b) Parallelogram
(c) Square
(d) Rectangle

Question : Find the area (in square units) of the triangle whose vertices are (a, b + c), (a, b – c) and (–a, c).
(a) 2ac
(b) 2bc
(c) b(a + c)
(d) c(a – b)

Question :. Find the area of the quadrilateral, the coordinates of whose angular points taken in order are (1, 1), (3, 4), (5, –2) and (4, –7).
(a) 20.5 sq. units
(b) 41 sq. units
(c) 82 sq. units
(d) 61.5 sq. units

Question : Four vertices of a parallelogram taken in order are (–3, –1), (a, b), (3, 3) and (4, 3). What will be the ratio of a and b?
(a) 4 : 1
(b) 1 : 2
(c) 1 : 3
(d) 3 : 1

Question : The points (1, 1), (–1, 5), (7, 9) and (9, 5) taken in such order that it will form a
(a) Rectangle
(b) Square
(c) Rhombus
(d) None of these

Question : In the given figure, PQRS is a straight lineR is the mid point of QS and Q is the midpoint of PS. S is (6, 5), R is (3, 5) and Tis (4, 8). Find the length of median TU.
(a) √13 units
(b) √50 units
(c) 2 √28 units
(d) √58 units

Question : The name of the horizontal line in the cartesian plane which determines the position of a point is called:
(a) Origin
(b) X-axis
(c) Y-axis
(d) Quadrants

Question : The name of the vertical line in the cartesian plane which determines the position of a point is called:
(a) Origin
(b) X-axis
(c) Y-axis
(d) Quadrants

Question : The section formed by horizontal and vertical lines determining the position of the point in a cartesian plane is called:
(a) Origin
(b) X-axis
(c) Y-axis
(d) Quadrants

Question : The point of intersection of horizontal and vertical lines determining the position of a point in a cartesian plane is called:
(a) Origin
(b) X-axis
(c) Y-axis
(d) Quadrants

Question : If the coordinates of a point are (0, -4), then it lies in:
(a) X-axis
(b) Y-axis
(c) At origin
(d) Between x-axis and y-axis

Question : If the points (a, 0), (0, b) and (1, 1) are collinear then which of the following is true?
(a) 1/a + 1/b = 2
(b) 1/a – 1/b = 1
(c) 1/a – 1/b = 2
(d) 1/a + 1/b = 1

Question : Three points A(1, –2), B(3, 4) and C(4, 7) form
(a) A straight line
(b) An equilateral triangle
(c) A right-angled triangle
(d) None of these

Question : In what ratio is the line segment joining the points (–3, 2) and (6, 1) is divided by Y-axis ?
(a) 1 : 3
(b) 2 : 1
(c) 1 : 2
(d) 3 : 1

Question : Find the coordinates of the point on X-axis which are equidistant from the points (–3, 4) and (2, 5).
(a) (20, 0)
(b) (–23, 0)
(c) (4/7X0)
(d) None of these

Question : If the centroid of the triangle formed by the points (a, b), (b, c) and (c, a) is at the origin, then a³ + b³ + c³ =
(a) abc
(b) 0
(c) a + b + c
(d) 3 abc

Question :Ayush starts walking from his house to office. Instead of going to the office directly, he goes to a bank first, from there to his daughter’s school and then reaches the office. If the house is situated at (2, 4), bank at (5, 8), school at (13, 14) and office at (13, 26) and coordinates are in km. What is the extra distance travelled by Ayushin reaching his office? (Assume that all distances covered are in straight lines)
(a) 2.2 km
(b) 2.7 km
(c) 11 √3km
(d) 2.40 km

Question : What is the difference of distance between AC and AD ?
(a) 2 units
(b) 2.14 units
(c) 8 units
(d) 2.3 units