8/16/2019 paper 1st year.pdf

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Name time 1hour Marks

A square matriz is called symmetric if At =

a)A b)A-1 c)B

the period of Tan(x)

a)pi b)2pi c)0

18pi/3 lies in quadrent

a)1st  b)2nd  c)3rd  d)4th 

Short questions

1. Find the multiplicative inverse of 1-2i

2. Prove that z=z if and only if z is real.

3. Find the measure of gratest angle if the sides are 16,20,33.

4. Conver 21.256 in D ,M,S.

5. Find the area of a triangle with sides 20,30 and corresponding

angle 45degree.

Long Question

1. Convert in to partial fraction x/(x-1)(x-b)(x-c).

2. 1 −1 2 −3

2 0 7 −7

3 1 12 −11

  find the rank.

3.  If a,b and c are the angles of triangle then prove that

Tan a/2.tan b/2+tan b/2.tan c/2+tan c/2.tan a/2=1