Gujarat BoardEnglish MediumSTD 9MathsCoordinate Geometry1 Mark
MCQ
Which of the following points does not lie in any quadrant?
A
$(1, 7)$
B
$(2, 10)$
C
$(-1, 1)$
✓
$(4, 12)$
✓
Answer
Correct option: D.
$(4, 12)$
For the point to lie on the line $y=3 x+4$, it has to satisfy the equation of the line.
Putting $x=1$, in $y=3 x+4$, we get $y=3(1)+4 \Rightarrow y=7$
So, the point satisfies the equation and hence lies on the given line.
Putting $x=2$, in $y=3 x+4$, we get $y=3(2)+4 \Rightarrow y=10$
So, the point satisfies the equation and hence lies on the given line.
Putting $x=1$, in $y=3 x+4$, we get $y=3(-1)+4 \Rightarrow y=1$
So, the point satisfies the equation and hence lies on the given line.
Putting $x=4$, in $y=3 x+4$, we get $y=3(4)+4 \Rightarrow y=16$
But $y=12$.
So, the point not satisfy the equation and hence lies on the given line.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.