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10th Grade > Mathematics

COORDINATE GEOMETRY MCQs

Coordinate Geometry

Total Questions : 68 | Page 2 of 7 pages
Question 11. Point (3,-2) lies in ___ Quadrant.
  1.    1st
  2.    2nd
  3.    3rd
  4.    4th
 Discuss Question
Answer: Option D. -> 4th
:
D
Abscissa of the given point is positive and ordinate is negative. So, the point lies in 4th quadrant.
Question 12. The two axes divide the Cartesian plane into __ quadrants.
 Discuss Question

:
The two axes i.e. x-axis and y-axis divide the Cartesian plane into four quadrants i.e. First Quadrant, Second Quadrant, Third Quadrant and Fourth Quadrant.
Question 13. Pavan says that the point P (5, 6) is same as the point Q (6, 5). Is he correct?
  1.    True
  2.    False
  3.    P(0, 3); Q(4, -3)
  4.    P(-3, 0); Q(-3, 4)
 Discuss Question
Answer: Option B. -> False
:
B
Two points are same only if their abscissaeand the ordinates of both the points are equal. Abscissa of point P is 5 and the abscissa of point Q is 6. Since the abscissae of both the points is not the same the points P and Q are not the same.
Question 14. The perpendicular distance of a point P from the X-axis is 4 units and from the Y-axis is 5 units (in the positive direction). What are the coordinates of point P?
  1.    P(5, 4)
  2.    P(4, 5)
  3.    P(5, 5)
  4.    P(4, 4)
 Discuss Question
Answer: Option A. -> P(5, 4)
:
A
The perpendicular distance of the point from the Y-axis measured along the positive X-axis is called the abscissa of the point.
The perpendicular distance of the point from the X-axis measured along the positive Y-axis is ordinate of the point.
The point is P (5,4).
Question 15. The reference point in the Cartesian System from which the distances are marked is called the __.
 Discuss Question

:
The referencepoint in Cartesian System from which the distances are marked is called the Origin.
Question 16. What is the perpendicular distance of the point Q (5,7) from y-axis?
  1.    5
  2.    7
  3.    12
  4.    Cannot be determined
 Discuss Question
Answer: Option A. -> 5
:
A
The perpendicular distance of a point from y-axismeasured along the positive x-axis is abscissa of the point. So, the perpendicular distance of the pointQ(5,7) is 5 units from the y-axis.
Question 17. Which of the following points lie on the y-axis?
  1.    (2, 0)
  2.    (0, -4) 
  3.    (5, -1)
  4.    (-4, 0)
 Discuss Question
Answer: Option B. -> (0, -4) 
:
B
The abscissa of the points which lie on the y-axis is 0. Therefore, the points which lie on the y-axis are represented as (0, a). Only (0,-4) satisfies the criteria.
Question 18. In which quadrant does the point (-101, -299) lie?
  1.    I quadrant.
  2.    II quadrant.
  3.    III quadrant.
  4.    IV quadrant.
 Discuss Question
Answer: Option C. -> III quadrant.
:
C
(-101,-299) has-101 <0 and -299< 0.
We know that if abscissa <0 and ordinate < 0 then, the point lies inthirdquadrant.
Therefore (-101,-299) lies in thirdquadrant.
Question 19. A point with both of its coordinates positive lies in which quadrant?
  1.    Quadrant I
  2.    Quadrant II
  3.    Quadrant III
  4.    Quadrant IV
 Discuss Question
Answer: Option A. -> Quadrant I
:
A
If x>0 and y>0 i.e. both x and y are positive then the point lies in the first quadrant.
Question 20. The distance of a point (0, –3) from the origin is
  1.    0 units
  2.    -3 units
  3.    can't be determined
  4.    3 units
 Discuss Question
Answer: Option D. -> 3 units
:
D
The point (0, -3) lies on the y-axis and 3 units below the x-axis. Distance is always positive so it will be counted as 3 units not -3 units.

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