University of Lucknow 2006 B.A Economics , Third - Question Paper

' -v- r?ei % #3    I

ax ' is. x dx

1 \

- ;

(ii)    Show that the following is a linear homogeneous function :

Z =    .

wfilm 1%    M*r wh#t

WT I :

Z = vTy? .

(iii)    Locate the focus and the directrix of the parabola :

x² + 20y + 4 x ~ 56 - 0.

PrMsrt    #r Pm\ srt

:

x² + 20 y -t- 4x - 56 = 0. _____

(iv)    Explain the meaning of positive and negative skewness.

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(v)    Graphically explain the kinds of kurtosis.

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(yi) Find the maximum and minimum values of the function :

y ~ x^s - 3 x 1.

wi % mm    m am

'X -*    -j

y jr - - 1.

(vii)    In a survey of 25 fax ..lies, the number

of children reported were :

5, 4, 4, 5. 5, 5, 7, 6, 6, 6, 5, 5_S 7, 4, 5,

7, 5, 9, 7, 2. 3, 4_S 1, 2,

Find mean and mode.

25     W

f? Sfff # :

5, 4, 4, 5, 5, 5, 7, 6, 6, 6, 5, 5, 7, 4, 5,

7, 5, 6, 9. 7, 2, 3, 4, 1, 2.

fIRR WT    #1    WR!    !

(viii)    Itfqfe :

r

jl 2 j4 == 13 6

[5 8

firid/W?!

AB -

(ix)    What are the components of a Time Series ? w    % Pci w I ?

(;<) Distinguish between primary and secondary data.

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Unit I Wff I

(a)    Obtain the equation and slope of the line

joining two points (1, 2) and (3, 4). .

m Pppft (1, 2) cWT (3, 4) Wt

jm fFiRoi m sra m. #4 1

(b)    If 7 sin² 6 + 3 cos' = 4, then prove that:

trn f) = +

:

1

tan 8 - -7=-v i

(c) Find the sum of n terms *.^,f the series : M % n 3>T % STRT :

3 + 33 + 333 + ...,.......

1111 2~

2 ^f 2

(a) Find the value of the determinant :

e =

nxl

then obtain e'e and ee',    3+4=7

cTt e'e dEff ee'    !

Unit II f5Bff II

Differentiate the following functions :

1111 2.₊?--+o-7

2 2 2 2

, _x 5 + tan*

_(a)    v=.-_277y-

(b)    y - x⁵ log (2 x)

(c)    Find second derivative of the function :

w? m fM w :

Find total revenue, marginal revenue and elasticity of demand at p 3, if demand curve is given by D = 30 ~ 4p - p¹.    7~

*&

ffM    #1 m D = 30 - 4p ~ p² t *

Unit III TO# III

Calculate median and quartiies Q_} and Q~ from

1 i i 1

the following data :    2;f2;r*-2~-~7~

J. I I. L

PNIifef #is5t %    m qgpfo Q, <mr

Q_? Wf?    :

la a Football session, the goals scored by two teams A and B in different matches are given below. Explain that which of the two teams is more consistent in its performance : 7

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Unit IV

mi iv

(a)    Explain the use of scatter diagram lo determine the direction and degree of correlation between two variables.

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(b)    From the following data, calculate the coefficient of correlation by any method :

2^Jr-+S~l¹-

2 7

9. Name some applications of Index numbers in Economics.    / \

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From the following data, calculate (i) Fisher's c _r

index number for the year 1980 and (ii) Show, \ \

whether the Time Reversal Test and Factor ' .4 4

1

Reversal Test are satisfied or not :    7

PiHlRslcl #55ft % WfT    (i) fW\ 3JT

fW etf 1980 % cTSTT (ii)    =RT

wf    qftem wxgz g$

t <3Tfcrr :

A-253-8-10000

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