SSC CGL Quant – Graphs of Linear Equations & Coordinate Basics – Level 2 · Exam Level · Revision Round
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The second equation is 2 × the first → the same line → infinitely many common points.
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SSC CGL Quant – Graphs of Linear Equations & Coordinate Basics – Level 2 · Exam Level · Revision Round – 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, 7) lie?
Correct Answer: B [Quadrant II]
Explanation:
x negative, y positive → Quadrant II.
2.
What is the distance between the points (−2, 3) and (4, −5)?
Correct Answer: A [10 units]
Explanation:
√(6² + 8²) = √100 = 10 (6-8-10 triplet).
3.
What is the mid-point of the segment joining (−3, 8) and (7, −2)?
Correct Answer: D [(2, 3)]
Explanation:
((−3 + 7)/2, (8 − 2)/2) = (2, 3).
4.
At which point does the line 4x − 5y = 20 cut the y-axis?
Correct Answer: C [(0, −4)]
Explanation:
Put x = 0: −5y = 20 → y = −4.
5.
What is the slope of the line 6x + 3y = 7?
Correct Answer: B [−2]
Explanation:
Slope = −a/b = −6/3 = −2.
6.
Which of these points lies on the line 3x − 2y = 8?
Correct Answer: A [(4, 2)]
Explanation:
3 × 4 − 2 × 2 = 8 ✓; the others give 4, 7 and 10.
7.
Where do the lines x = 3 and y = −2 meet?
Correct Answer: A [(3, −2)]
Explanation:
x = 3 is vertical, y = −2 horizontal; they meet at (3, −2).
8.
What is the area of the triangle formed by the line y = 2x, the x-axis and the line x = 5?
Correct Answer: B [25 sq units]
Explanation:
Vertices (0, 0), (5, 0), (5, 10): ½ × 5 × 10 = 25.
9.
What is the area of the rectangle formed by the lines x = −2, x = 4, y = 1 and y = 6?
Correct Answer: C [30 sq units]
Explanation:
Width 4 − (−2) = 6, height 6 − 1 = 5 → 30.
10.
For what value of k does the line kx + 3y = 12 pass through the point (2, 2)?
Correct Answer: D [3]
Explanation:
2k + 6 = 12 → k = 3.
11.
The graph of y = 3 is:
Correct Answer: D [a line parallel to the x-axis]
Explanation:
Every point has y = 3 whatever x is → a horizontal line 3 units above the x-axis.
12.
How many points do the lines 2x + 3y = 12 and 4x + 6y = 24 have in common?
Correct Answer: A [infinitely many]
Explanation:
The second equation is 2 × the first → the same line → infinitely many common points.
➤ 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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