Question 8. The Coordinates of point Q are
(a) (3, 3.5) (b) (3.5, 3) (c) (-3, 3.5) (d) (-3, -3.5)
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Answers
SOLUTION
TO CHOOSE THE CORRECT OPTION
The Coordinates of point Q are
(a) (3, 3.5)
(b) (3.5, 3)
(c) (-3, 3.5)
(d) (-3, -3.5)
CONCEPT TO BE IMPLEMENTED
We know that in two dimensional geometry the Cartesian plane is divided by coordinate axis in 4 quadrant
1. Quadrant I : Both the x - coordinates and y - coordinates are positive
2. Quadrant II : The x - coordinate is negative and the y - coordinate is positive
3. Quadrant III : Both the x - coordinates and y - coordinates are negative
4. Quadrant IV : The x - coordinate is positive and the y - coordinate is negative
EVALUATION
We have to find the Coordinates of point Q
From the given figure we see that the point lies on 3rd quadrant
Both the x - coordinates and y - coordinates will be negative
Now we observe that ,
Distance of Q from x axis = 3.5 unit
Distance of Q from y axis = 3 unit
So we have
Abscissa = - 3
Ordinate = - 3.5
Hence the required Coordinates of point Q is ( - 3 , - 3.5)
FINAL ANSWER
Hence the correct option is (d) ( - 3, - 3.5)
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