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JEE Main Geometry & Mensuration Questions
Practise geometry & mensuration (mathematics) for the Joint Entrance Examination (Main): 10 multiple-choice questions, each with the correct answer and a worked explanation. Click an option to check it, or “New questions” for another set.
Geometry & Mensuration practice
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Q1.Find the distance between (0, -3) and (8, 12).
Show answer & explanation
Answer: D — 17
Distance = √((Δx)² + (Δy)²) = √(8² + 15²) = 17.
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Q2.Find the distance between (3, 4) and (8, 16).
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Answer: D — 13
Distance = √((Δx)² + (Δy)²) = √(5² + 12²) = 13.
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Q3.Find the volume of a cone with radius 7 cm and height 17 cm (take π = 22/7).
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Answer: C — 872.67 cm³
Using ⅓πr²h with π = 22/7: 872.67 cm³.
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Q4.Find the volume of a cylinder with radius 3.5 cm and height 20 cm (take π = 22/7).
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Answer: A — 770 cm³
Using πr²h with π = 22/7: 770 cm³.
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Q5.Find the distance between (-2, 5) and (4, 13).
Show answer & explanation
Answer: C — 10
Distance = √((Δx)² + (Δy)²) = √(6² + 8²) = 10.
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Q6.Find the area of a circle of radius 7 cm (take π = 22/7).
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Answer: D — 154 cm²
Using πr² with π = 22/7: 154 cm².
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Q7.Find the volume of a sphere of radius 3.5 cm (take π = 22/7).
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Answer: B — 179.67 cm³
Using (4/3)πr³ with π = 22/7: 179.67 cm³.
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Q8.Find the distance between (3, -5) and (11, 10).
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Answer: D — 17
Distance = √((Δx)² + (Δy)²) = √(8² + 15²) = 17.
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Q9.A right triangle has legs 20 cm and 21 cm. Find the hypotenuse.
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Answer: C — 29 cm
By Pythagoras, hypotenuse = √(20² + 21²) = √841 = 29.
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Q10.Find the distance between (5, 2) and (11, 10).
Show answer & explanation
Answer: A — 10
Distance = √((Δx)² + (Δy)²) = √(6² + 8²) = 10.
How to approach geometry & mensuration questions
Memorise core formulas (circle πr², triangle ½bh, Pythagoras, distance √((x₂−x₁)² + (y₂−y₁)²)). Sketch the figure — most errors come from misreading which length is given.
About JEE Main
Joint Entrance Examination (Main) — conducted by National Testing Agency (NTA). India’s national engineering entrance for NITs, IIITs and other institutes, and the qualifier for JEE Advanced.
Original practice questions written for this site in the style and difficulty of each exam’s syllabus. They are not past papers and the site is not affiliated with any exam body. Exam patterns, marking schemes and syllabi change — always check the latest official notification.
JEE Main practice topics
| Topic | Section | Question source |
|---|---|---|
| Algebra | Mathematics | Calculated (new numbers every set) |
| Geometry & Mensuration | Mathematics | Calculated (new numbers every set) |
| Probability & Combinatorics | Mathematics | Calculated (new numbers every set) |
| Physics | Science | Calculated + question bank |
| Chemistry | Science | Calculated + question bank |