SSC CGL Quant – Graphs of Linear Equations & Coordinate Basics – Level 3 · Challenge
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((1 + 5 + 3)/3, (2 + 8 − 1)/3) = (3, 3).
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SSC CGL Quant – Graphs of Linear Equations & Coordinate Basics – Level 3 · Challenge – 8 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.
The area of the triangle with vertices (2, 1), (6, 4) and (−1, 5) is:
Correct Answer: A [12.5 sq units]
Explanation:
½|2(4 − 5) + 6(5 − 1) + (−1)(1 − 4)| = ½|−2 + 24 + 3| = 12.5.
2.
The area enclosed by the graph of |x| + |y| = 5 is:
Correct Answer: C [50 sq units]
Explanation:
A square (rhombus) with diagonals 10 and 10 → ½ × 10 × 10 = 50.
3.
Assertion–Reason
A: The equations 2x + 3y = 6 and 4x + 6y = 15 have no solution.
R: If a₁/a₂ = b₁/b₂ ≠ c₁/c₂, the lines are parallel.
A: The equations 2x + 3y = 6 and 4x + 6y = 15 have no solution.
R: If a₁/a₂ = b₁/b₂ ≠ c₁/c₂, the lines are parallel.
Correct Answer: B [Both A and R are true and R explains A]
Explanation:
2/4 = 3/6 = ½ but 6/15 ≠ ½ → parallel lines → no solution.
4.
The points (1, 5), (2, 3) and (k, −1) lie on one straight line. Find k.
Correct Answer: A [4]
Explanation:
Slope (1,5)→(2,3) = −2; (−1 − 3)/(k − 2) = −2 → k = 4.
5.
The lines y = x, y = −x and y = 4 form a triangle. Its area is:
Correct Answer: D [16 sq units]
Explanation:
Vertices (0, 0), (4, 4), (−4, 4): base 8, height 4 → 16.
6.
The line through (3, 4) parallel to 2x − y = 5 is:
Correct Answer: C [2x − y = 2]
Explanation:
Same slope → 2x − y = k; put (3, 4): k = 2.
7.
True/False countHow many of these statements are true?
I. y = 2x + 1 and y = 2x − 3 never meet.
II. x + y = 0 passes through (−3, 3).
III. The slope of x = 5 is 0.
I. y = 2x + 1 and y = 2x − 3 never meet.
II. x + y = 0 passes through (−3, 3).
III. The slope of x = 5 is 0.
Correct Answer: D [Only 2]
Explanation:
I true (same slope, different intercepts); II true; III false – a vertical line has undefined slope.
8.
The centroid of the triangle with vertices (1, 2), (5, 8) and (3, −1) is:
Correct Answer: C [(3, 3)]
Explanation:
((1 + 5 + 3)/3, (2 + 8 − 1)/3) = (3, 3).
➤ Full notes, shortcuts and every answer explained – SSC CGL 2026 Quantitative Aptitude book (₹149): www.shanmugamiasacademy.in/study-materials/ssc-cgl-quantitative-aptitude
📘 TNPSC திறனறிவும் மனக்கணக்கு நுண்ணறிவும் (Aptitude & Mental Ability) – முழுமையான பாடநூல்
Here you get the answer with a one-line explanation. TNPSC திறனறிவு & காரணவியல் சிலபஸ் முழுவதும் · 14 அத்தியாயங்கள் + 2 அலகு மாதிரித் தேர்வுகள் · 357 பயிற்சி வினாக்கள் படிப்படியான தீர்வுடன் · மாதிரித் தாள்கள் (50 வினாக்கள்) · 14 மனவரைபடங்கள் · சூத்திரச் சுருக்கம், கணக்கு அட்டவணைகள்
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