SSC CGL Quant – Graphs of Linear Equations & Coordinate Basics – Level 1 · Warm-up · Tier I Level

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SSC CGL Quant – Graphs of Linear Equations & Coordinate Basics – Level 1 · Warm-up · Tier I Level – 12 questions, subject: Quantitative Aptitude. Every question has the correct answer with a one-line explanation; tap "Show Answer". Free practice for TNPSC, UPSC, SSC, Bank and RRB exams – Shanmugam IAS Academy, Coimbatore.

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1.  
In which quadrant does the point (−4, −9) lie?

Correct Answer: C [Third quadrant]

Explanation:

Both coordinates negative → quadrant III.

2.  
The point (0, −6) lies on the:

Correct Answer: B [y-axis]

Explanation:

x = 0 → the point is on the y-axis (below O).

3.  
The distance of the point (5, 12) from the origin is:

Correct Answer: D [13]

Explanation:

√(25 + 144) = √169 = 13 (5-12-13).

4.  
The midpoint of the segment joining (2, 8) and (6, −4) is:

Correct Answer: A [(4, 2)]

Explanation:

((2 + 6)/2, (8 − 4)/2) = (4, 2).

5.  
The x-intercept of 4x − 3y = 24 is:

Correct Answer: D [6]

Explanation:

Put y = 0: 4x = 24 → x = 6.

6.  
The y-intercept of 5x − 2y = 30 is:

Correct Answer: C [−15]

Explanation:

Put x = 0: −2y = 30 → y = −15.

7.  
The slope of the line y = 3x − 7 is:

Correct Answer: B [3]

Explanation:

y = mx + c → m = 3.

8.  
The graph of y = 4 is a line:

Correct Answer: A [parallel to the x-axis]

Explanation:

y is fixed at 4 for every x → horizontal line.

9.  
Which of these points lies on the line 2x + 3y = 12?

Correct Answer: B [(3, 2)]

Explanation:

2 × 3 + 3 × 2 = 12 ✓; the others give 13, 11, 14.

10.  
The area of the triangle formed by the line x + y = 9 and the two axes is:

Correct Answer: D [40.5 sq units]

Explanation:

Intercepts 9 and 9 → ½ × 9 × 9 = 40.5.

11.  
Statement-basedWhich of the following is/are correct?
I. The graph of x = 0 is the y-axis.
II. Every line of the form ax + by = 0 passes through the origin.

Correct Answer: A [Both I and II]

Explanation:

I: all points (0, y). II: (0, 0) satisfies ax + by = 0.

12.  
Match the following
P. y = 2 Q. x = −3 R. y = x
1. line through O at 45° to the x-axis 2. parallel to the x-axis 3. parallel to the y-axis

Correct Answer: C [P-2, Q-3, R-1]

Explanation:

y = 2 horizontal; x = −3 vertical; y = x has slope 1 (45°).

➤ Full notes, shortcuts and every answer explained – SSC CGL 2026 Quantitative Aptitude book (₹149): www.shanmugamiasacademy.in/study-materials/ssc-cgl-quantitative-aptitude

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