Q1. How many postulates does Euclidean geometry have?
5
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Q2. Euclid belonged to which country?
Greece
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Q3. Which of the following has no dimension?
ALine
BLine segment
CPoint
DPlane
Q4. Which of the following does a line have?
AOne dimension
BTwo dimensions
CNo dimension
DThree dimensions
Q5. Euclid’s Elements is divided into how many books?
A7
B10
C13
D16
Q6. Axioms apply to which of the following?
AGeometry only
BAll mathematics
CAlgebra only
DNone
Q7. Which of the following is an undefined term in Euclidean geometry?
ARectangle
BPlane
CCircle
DNone
Q8. If AB = CD and \( CD\neq EF \), which of the following is true?
AAB = EF
B\( AB \neq EF \)
CEF = CD
DNone
Q9. Which of the following is not an axiom of Euclid?
AWhole is greater than part
BThings equal to same are equal
CParallel lines never meet
DIf equals are added to equals, the wholes are equal
Q10. In the adjoining figure, if AC = BD then:
AAB = BC
BBC = CD
CAB = CD
DAC = CD
Q11. What is a statement that is accepted without proof called?
Axiom
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Q12. Of whom was Pythagoras a student?
Thales
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Q13. Which of the following statements is incorrect?
Ainfinitely many lies can pass through a single point.
BA terminated line can be produced indefinitely on both the sides.
CIf two circles are equal, then their radii are equal.
DThere are an infinite number of lines which pass through two distinct points.
Q14. If A = B and B = C, then A = C represents which of the following?
APostulate
BAxiom
CTheorem
DNone
Q15. Which of the following statements is not justified by Euclid’s postulates?
AA line can be drawn joining any two points
BA terminated line can be extended indefinitely
CA circle can be drawn with any centre and radius
DTwo distinct lines can have more than one point in common
Q16. According to the Postulates of Euclidean Geometry, how many planes pass through 3 non-collinear points?
1
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Q17. Euclid’s fifth postulate deals with:
ALines
BAngles
CParallel lines
DCircles
Q18. A point C is called the midpoint of a line segment AB if:
AAC + CB = AB
BAC = CB
CPoint C lies on segment AB such that AC=CB
DC is an interior point of AB
Q19. If A, B and C are three points on a line and B lies between A and C, then:
AAC + BC = AB
BAB + AC = BC
CAB + BC = AC
DAC + AC = AB
Q20. How many lines can be drawn passing through two coincident points?
AInfinitely many
BOne
CTwo
DZero
Q21. Which of the following is true?
AA plane contains only lines
BA plane contains only points
CA plane contains lines and points
DNone
Q22. Which of the following is derived from axioms?
APostulate
BTheorem
CDefinition
DElements
Q23. If AB = PQ and PQ = XY then:
AAB = XY = 2PQ
BAB + PQ=AY
CAB + PQ = XY
DAB + PQ = 2XY
Q24. Assertion (a): if X = Y and Z = Y then X = Z
Reason (b): Things equal to same things are equal to one another.
ABoth a and b are correct.
BBoth a and b are incorrect
Conly a is correct.
DOnly b is correct
Q25. Assertion (a): if X = 2Y and Z = 2Y then X = Z.
Reason (b): Things equal to same things are equal to one another.
ABoth a and b are correct.
BBoth a and b are incorrect.
Conly a is correct.
DOnly b is correct.
Q26. How many dimensions does a point have?
0
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Q27. How many dimensions does a surface have?
2
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Q28. How many definitions does Book I of Euclid’s Elements contain?
23
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Q29. How many subsidiary triangles does the interwoven triangles in the Sri Yantra (given in the Atharvaveda) produce?
43
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Q30. Name the Scottish mathematician who formulated the simplified version of the fifth postulate of Euclidean geometry.
John Playfair
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Q31. How many propositions / theorems did Euclid deduce in The Elements?
465
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Q32. A line segment has how many midpoints?
1
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Q33. If \( \text {l} \) is a line and P is a point not lying on it, then how many lines are there which pass through P and parallel to \( \text {l} \)?
1
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Q34. Ramesh is of the same age as Suresh. Ram is also of the same age as Suresh. Which of Euclid's Axiom illustrates the relationship between the ages of Ramesh and Ram?
AIf equal added to equal, the whole are equal.
BThings which coincide with one another are equal to one another.
CThings which are equal to same thing are equal to one another.
DNone of these.
Q35. How many lines can pass through three non-collinear points?
3
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Q36. In the adjoining figure, if \(\angle 1 = \angle 3 \text { and } \angle 2 = \angle 4 \), Then \(\angle A = \angle C \). Which of the following is the most appropriate reason?
AThings which are equal to same thing are equal to one another.
BIf equals are added to equals, the whole are equal.
CThe whole is greater than the part.
DThings which are halves of the same thing are equal to one another.
Q37. Who is known as the Father of Geometry?
Euclid
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Q38. To whom is the statement “A circle is bisected by its diameter” the first known geometric theorem attributed?
Thales
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Q39. In how many directions a terminated line can be produced indefinitely?
2
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Q40. Which of Euclid’s postulates does the given figure illustrate?
Fifth postulate
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