Class 9 Mathematics Part 2 (Geometry) – Daily Revision MCQ (English Medium)
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On a number line, the co-ordinates of points A and B are −3 and 5. What is d(A, B)?
Chapter 1: Basic Concepts in Geometry
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Answer: B. 8
Distance = larger co-ordinate − smaller co-ordinate = 5 − (−3) = 8; a distance is never negative.Line l ∥ line m and line n is their transversal. One interior angle on one side of the transversal is 70°. What is the other interior angle on the same side?
Chapter 2: Parallel Lines
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Answer: C. 110°
Interior angle theorem: interior angles on the same side of a transversal of parallel lines are supplementary, so 180° − 70° = 110°.In a triangle, the two remote interior angles of an exterior angle are 45° and 65°. What is the measure of that exterior angle?
Chapter 3: Triangles
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Answer: B. 110°
Theorem of remote interior angles: exterior angle = sum of its remote interior angles = 45° + 65° = 110°.In a right-angled triangle the hypotenuse is 14 cm. What is the length of the median drawn on the hypotenuse?
Chapter 3: Triangles
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Answer: A. 7 cm
In a right-angled triangle, the median on the hypotenuse is half the hypotenuse: 14 ÷ 2 = 7 cm.In a right-angled triangle the acute angles are 30° and 60°, and the hypotenuse is 12 cm. What is the length of the side opposite the 30° angle?
Chapter 3: Triangles
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Answer: C. 6 cm
30°-60°-90° theorem: the side opposite 30° is half the hypotenuse = 6 cm (6√3 cm is the side opposite 60°).The diagonals of a rhombus are 16 cm and 12 cm long. What is the length of each side of the rhombus?
Chapter 5: Quadrilaterals
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Answer: D. 10 cm
Diagonals of a rhombus are perpendicular bisectors of each other, so half-diagonals 8 and 6 form a right triangle: side = √(8² + 6²) = 10 cm.The radius of a circle is 13 cm and a chord of the circle is 24 cm long. How far is the chord from the centre?
Chapter 6: Circle
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Answer: A. 5 cm
The perpendicular from the centre bisects the chord, so half-chord = 12 cm; distance = √(13² − 12²) = √25 = 5 cm.In which quadrant does the point (−4, 3) lie?
Chapter 7: Co-ordinate Geometry
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Answer: D. Second quadrant
x co-ordinate is negative and y co-ordinate is positive, so the point lies in the second quadrant (left of Y-axis, above X-axis).θ is an acute angle and sin θ = 3/5. What is cos θ?
Chapter 8: Trigonometry
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Answer: A. 4/5
Using sin²θ + cos²θ = 1: cos²θ = 1 − 9/25 = 16/25, so cos θ = 4/5.A cone has base radius 7 cm and height 12 cm. What is its volume? (π = 22/7)
Chapter 9: Surface Area and Volume
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Answer: B. 616 cm³
Volume of a cone = ⅓πr²h = ⅓ × 22/7 × 7 × 7 × 12 = 616 cm³ (1848 cm³ would be the cylinder of the same base and height).
Class 9: MCQ in other subjects
All questions are written by PadhaiNotes in our own words from the chapters of the official Maharashtra State Board Balbharati textbook (ebalbharati.in). Each question shows its chapter.