Algebraic Geometry Test
Considered boring by a lot of people, algebraic geometry is another topic in mathematics that's concerned with the zeros of multivariate polynomials. The world over, contemporary mathematicians use commutative algebra to answer geometrical problems. If your discipline applies this mathematical concept, then give it a try.
- 1.
Examples of plane algebraic curves studied in algebraic geometry are these except
- A.
Hyperbolas
- B.
Parabolas
- C.
Cones
- D.
Ellipses
Correct Answer
C. Cones -
- 2.
Which of the following is not of concern in algebraic geometry?
- A.
Singular points
- B.
Inflection points
- C.
Points at infinity
- D.
Central points
Correct Answer
D. Central points -
- 3.
Algebraic geometry is related to the following except
- A.
Number theory
- B.
Complex analysis
- C.
Topology
- D.
Computational analysis
Correct Answer
D. Computational analysis -
- 4.
The development of algebraic geometry can be traced to
- A.
5th century BC
- B.
7th century BC
- C.
11 century BC
- D.
3 century BC
Correct Answer
A. 5th century BC -
- 5.
Which of the following mathematicians are not associated with algebraic geometry?
- A.
Menaechmus
- B.
Archimedes
- C.
Pythagoras
- D.
Apollonius
Correct Answer
C. Pythagoras -
- 6.
Algebraic geometry is applied in the following fields except
- A.
Robotics
- B.
Phylogenetics
- C.
Geometric modelling
- D.
Structural engineering
Correct Answer
D. Structural engineering -
- 7.
A polynomial vanishes at a certain point when it's evaluations
- A.
Less than zero
- B.
Greater than zero
- C.
Is zero
- D.
Has an element of zero
Correct Answer
C. Is zero -
- 8.
When an algebraic set can not be expressed as a union of two smaller algebraic sets, it is said to be
- A.
Reducible
- B.
Irreducible
- C.
Perfect
- D.
Imperfect
Correct Answer
B. Irreducible -
- 9.
What is an irreducible algebraic set called?
- A.
Prime deal
- B.
A notation
- C.
Variety
- D.
Regular function
Correct Answer
C. Variety -
- 10.
Who presented an algorithm for solving systems of homogeneous polynomial equations with computational complexity?
- A.
George Collins
- B.
Daniel Lazard
- C.
Bruno Buchberger
- D.
Gilbert Macaulay
Correct Answer
B. Daniel Lazard -
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Current Version
-
Apr 16, 2018Quiz Edited by
ProProfs Editorial Team -
Apr 08, 2018Quiz Created by
Droney
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