Lakshya Education MCQs

Question: The two axes divide the Cartesian plane into __ quadrants.
Options:

: 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.

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Question 1. 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)
Answer: Option B
: 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 2. 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)
Answer: Option A
: 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 3. The reference point in the Cartesian System from which the distances are marked is called the __.

: The referencepoint in Cartesian System from which the distances are marked is called the Origin.
Question 4. Point (3,-2) lies in ___ Quadrant.
  1.    1st
  2.    2nd
  3.    3rd
  4.    4th
Answer: Option D
: D

Abscissa of the given point is positive and ordinate is negative. So, the point lies in 4th quadrant.
Question 5. 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?



  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)
Answer: Option A
: 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 6. If point 0 represents the origin (0,0), then coordinates of point J shown below is _____ .

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  1.    (2,4)
  2.    (-2,4)
  3.    (4,1)
  4.    (4,-1)
Answer: Option B
: 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).

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