Today I would like to share the Bsc 1st Year Maths Important Questions Pdf for Bsc students. This Pdf will help you to know the Maths Important Questions so you can Study those questions and gain more numbers in Maths subject.

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**PDF Details **

PDF Name | Bsc 1st Year Maths Important Questions |

Free PDF | Available |

Language | English |

Formats | PDF |

Size | 478 KB |

Pages | 1 |

**Bsc 1st Year Maths First Paper Important Questions **

- State and prove De-Moiver’s theorem.
- Solve the following system of linear equations by matrix method : x + y + z = 6, 2x + y – 3z = –5, 3x – 2y + z = 2
- Prove that G = {0, 1, 2, 3, 4, 5} is a finite abelian group of order 6 with respect to addition modulo 6.
- Define a group and show that the four fourth roots namely 1, –1, i, –i form a group with respect to multiplication.
- Prove that the order of every element of a finite group is a divisor of the order of the group.
- Write and prove De Morgan’s general law.
- State and prove the fundamental theorem of equivalence relation.
- What do you mean by a partial order relation and total order relation and well-ordered set, Give one example of each?
- What will be the eccentricity of the equilateral hyperbola?
- Prove that if group G has four elements then it must be abelian.
- If H1, and H2 are subgroups of a group G then show that H1 ∩ H2 is also a subgroup of G.
- Define an equivalence relation and equivalence classes of sets giving one example of each.
- Define the set and prove that the sphere is an incremental set.
- If a line makes equal angles with the axes, then what will be its direction cosines?
- What is each converging series of real numbers?
- Prove that an infinite union of denumerable sets is denumerable.
- Define a Lattice, a complete Lattice, and set an example of a Lattice that is not a complete Lattice.

**Bsc 1st Year Maths Second Paper Important Questions **

- State and prove Taylor’s theorem.
- Find the equation of the plane which vertically bisects the line segment joining the points (2,-1,4) and (4,9,6).
- In differential, write the statement of Euler’s theorem for two independent variables x and y, and also prove it.
- Find the formula for the radius of curvature, in cartesian form, at any point on a curve.
- In polar form, find the equation of a conic.
- Prove that in x and y, a general equation always represents a conic.
- Find the curved surface area of a cone whose radius of the base is r units and height is h units.

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