MCQ practice · SSC General Mathematics Board questions · Chapter 12: Simple Simultaneous Equations in Two Variables
Put x = -2 in the equation 2x + 3y = 2. In which quadrant does the point you get lie?
Think it through first, then pick an option.
- a 1st
- b 2nd
- c 3rd
- d 4th
Answer and explanation
Correct answer: b 2nd
For x = -2: 2 × (-2) + 3y = 2, so 3y = 6 and y = 2. The point (-2, 2) has x negative and y positive, so it is in the 2nd quadrant.
Why the other options are wrong
- a 1st: The point is (-2, 2). x is negative, so it lies left of the y axis; in the 1st quadrant x is positive.
- c 3rd: In the 3rd quadrant both x and y are negative. Here y = 2 is positive, so (-2, 2) is not there.
- d 4th: In the 4th quadrant x is positive and y negative. Here it is the other way: x = -2, y = 2.
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