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10th Grade > Mathematics

COORDINATE GEOMETRY MCQs

Coordinate Geometry

Total Questions : 68 | Page 1 of 7 pages
Question 1. The perpendicular distance of a point P from y-axis measured along the positive x-axis is 4 units. Then the ordinate of P is 4.
  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
Any point on the coordinateplane is represented as (abscissa, ordinate). The abscissa is measured from y-axis along the x-axis direction and the ordinate is measured from x-axis along the y-axis direction. If the perpendicular distance of a point P from y-axis measured along the positive x-axis is 4 units. Therefore, the abscissa ofP is 4.
Question 2. If point 0 represents the origin (0,0), then coordinates of point J shown below is _____ .
If Point 0 Represents The Origin (0,0), Then Coordinates Of ...​​
  1.    (2,4)
  2.    (-2,4)
  3.    (4,1)
  4.    (4,-1)
 Discuss Question
Answer: Option B. -> (-2,4)
:
B
Point J lies in the second quadrant. So signs of coordinateswill be (-,+) .
Distance of J from x axis is 4 hence ordinate is +4. Distance of J from y axis is 2 hence abscissais -2.
Therefore, coordinates of J are (-2, 4).
Question 3. An ant moves 3 units along the positive direction of the X-axis from the origin and reaches a point P, then moves 4 units from P along the negative direction of the Y-axis and reaches a point Q. What are the coordinates of points P and Q?
An Ant Moves 3 Units Along The Positive Direction Of The X-a...
  1.    P(3, 0); Q(3, -4)
  2.    P(0, 3); Q(3, 4)
  3.    P(0, 3); Q(4, -3)
  4.    P(-3, 0); Q(-3, 4)
 Discuss Question
Answer: Option A. -> P(3, 0); Q(3, -4)
:
A
Since the ant is moving 3 units along the positive direction of x-axis from the origin, the coordinate of point P is (3, 0) and then ant moves 4 units along the negative direction of y-axis thecoordinates of point Q is (3, -4).
Question 4. The ordinate of all points on the x-axis is ____.
  1.    0
  2.    1
  3.    -1
  4.    Any number
 Discuss Question
Answer: Option A. -> 0
:
A
The ordinate of any point is the distance of that point from the x-axis, so the distance of any point on x-axis from the x-axisis 0. Thus all pointson the x-axis are of the form (a, 0). So the value of ordinate for all points on the x-axis is 0.
Question 5. For x = 3, y = 2, u = -9, v = 13 the point (x+y, u+v) lies in which quadrant?
  1.    III quadrant
  2.    II quadrant
  3.    IV quadrant
  4.    I quadrant
 Discuss Question
Answer: Option D. -> I quadrant
:
D
Abscissa is x + y = 3 + 2 = 5
Ordinate is u + v = -9 + 13 =4
The point is (5, 4).
Since both coordinates are positive the point lies in I quadrant.
Question 6. Mirror image of point (1, 2) with respect to the y-axis is ______.
  1.    (1, -2)
  2.    (-1, 2)
  3.    (-1, -2)
  4.    (0, 2)
 Discuss Question
Answer: Option B. -> (-1, 2)
:
B
Mirror Image Of Point (1, 2) With Respect To The Y-axis Is _...
Mirror image of the point (1, 2) with respect to the y-axis is (-1, 2).
Question 7. X(6, 0), Y(-10, 0), Z (0, 0) are collinear.  
  1.    True
  2.    False
  3.    (–3, –5)     
  4.    (3, 5)
 Discuss Question
Answer: Option A. -> True
:
A
Points which lie on the same line are said to be collinear. The points X(6, 0), Y(-10, 0), Z (0, 0) all lie on theX-axis and hence they are collinear.
Question 8. A rectangle whose length and breadth are 5 and 3 units respectively, has a vertex at the origin. The longer side lies on the x-axis and one of the vertices lies in the first quadrant. What are the coordinates of the vertices?
  1.    (0,0); (0,5); (5,3); (3,5)
  2.    (0,0); (5,0); (5,3); (0,3)
  3.    (0,0); (0,5); (5,3); (3,0)
  4.    (0,0); (0,3); (5,3); (3,5)
 Discuss Question
Answer: Option B. -> (0,0); (5,0); (5,3); (0,3)
:
B
A Rectangle Whose Length And Breadth Are 5 And 3 Units Respe...
The coordinates of point A is (0, 0), the longer side lies on the x-axis, therefore, moving 5 units right of the origin, the coordinate of point B is (5, 0).
The breadth of the rectangle is 3 units, so moving towards the y axis from originby 3 units, the coordinates of D will be (0,3).
Joining all the points, the coordinates of C is (5,3).
Question 9. If the coordinates of the origin are (a, b), then the value of ab is ___.
 Discuss Question

:
Coordinates of the origin are (0, 0). Therefore the value of a = 0 and b = 0. So, the value of ab is 0 × 0 = 0.
Question 10. What is the perpendicular distance of the point Q (5, 7) from the y-axis?
  1.    5 units
  2.    7 units
  3.    2 units
  4.    12 units
 Discuss Question
Answer: Option A. -> 5 units
:
A
The perpendicular distance of the point from y-axis measured along positive x-axis is abscissa of the point. So, the answer will be 5.

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