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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
which pair of angles are supplementary in the following diagram ? Are they supplementary rays ? |
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Answer» ∠AOB and ∠COD are supplementary angles. ∠COB and ∠AOD are supplementary angles. There are no supplementary rays in the diagram. |
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| 2. |
You have seen earlier that the set of all natural numbers is closed under addition (closure property). is this an axiom or something you can prove? |
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Answer» Yes, this can be considered as an axiom |
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| 3. |
What is the need of introducing axioms? |
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Answer» The Greek mathematicians faced great difficulty while developing geometry as a pure deductive science. They had to depend on certain primitive notions like points, line and planes and space. But this was not enough to deduce every thing. They had to set up certain statements whose validity was accepted unquestionably. Thus there was a need of introducing axioms. |
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| 4. |
What is the difference between an axiom and a postulate? |
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Answer» Axiom : i. Axioms are elementary statements, which are self-evident and which are accepted without questions. ii. Axioms are applicable to all branches of mathematics and science. Postulate: i. The statements which are particular to geometry and accepted without question are called geometrical postulates. ii. Postulates are applicable to geometry only. |
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| 5. |
Find the value of x in the diagram below. |
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Answer» ∠PQS = ∠EPT = 130° [Corresponding angle] ∠PQS + ∠SQR = 180° [Linear pair] SQR = 180 – 130 ∠SQR = 50° ∠QRS + ∠FRS = 180° [Linear pair] ∠QRS + 90° =180° ∠QRS = 180 – 90 ∠QRS = 90° ∠SQR+ ∠QRS +∠QSR = 180° [Sum of the angles of triangle is 180° ] 50 + 90 + ∠QSR = 180° 140 + ∠QSR = 180° ∠QSR = 180 – 140 ∠QSR =40° ∠TSD = ∠QSR [Vertically opposite angles] x = 40°. |
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| 6. |
Find all the angles in the following |
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Answer» ∠CMP + ∠PMD=180° [Linear pair] ∠CMP+ 135° =180° ∠CMP = 180°- 135 ∠CMP = 45° ∠LMD = ∠CMP = 45° [Vertical opposite angles] ∠LMC =∠PMD = 135° [Vertical opposite angles] ∠ALM = ∠ LMC = 135° [Alternate angles] ∠BLM = ∠ LMC = 135° [Alternate angle] ∠QLB = ∠LMD = 45° [Corresponding angles] ∠QLA = ∠ LMC = 135° [Corresponding angles |
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| 7. |
What are undefined objects in Euclid’s geometry? |
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Answer» Certain objects in mathematics which cannot be defined using the terms an already know. Lines, points, plane, space are undefined objects in Euclidean geometry. |
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