. If P (a, b) lies in II quadrant then which of the following is true about a and b?
(a) a > 0, b > 0 (b) a > 0, b < 0 (c) a < 0, b > 0 (d) a < 0, b < 0
Answers
The answer is option C
In second quadrant x is negative and y is positive
so, let us assume a= -3 (x axis )and b= 2 (y axis)
- In option (a) it is given that -3 is greater than 0 and 2 is also grater than 0, which is wrong because we know that -3 is smaller than 0.
- In option (b) it is given that -3 is greater than 0 and 2 is smaller than 0 . it's wrong because -3 is smaller than 0 and 2 is greater than 0.
- In option (d) it's given that-3 a s smaller than 0 and 2 is smaller than 0 . it's wrong because 2 is greater than 0.
option ( c) is the right one because in this option it's given that -3 is smaller than 0 and 2 is greater than 0.
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SOLUTION
TO CHOOSE THE CORRECT OPTION
If P (a, b) lies in II quadrant then which of the following is true about a and b
(a) a > 0 , b > 0
(b) a > 0 , b < 0
(c) a < 0 , b > 0
(d) a < 0 , b < 0
EVALUATION
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
Here the given point is P(a, b)
x - coordinates = a
y - coordinates = b
Since P (a, b) lies in II quadrant
So x - coordinate is negative and the y - coordinate is positive
Thus we get a < 0 , b > 0
FINAL ANSWER
Hence the correct option is (c) a < 0 , b > 0
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