GATE MA 2019 Paper 1 — page 12

Questions 34–36 of 65. Imported answers require review unless explicitly marked reviewed.

Let

be a function defined by

. Then the number of zeros of

is _____.

(

is the set of all complex numbers)

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Let

be a normed linear space with the norm

Let

be the bounded linear functional defined by

Then

is equal to _____ (round off to 3 places of decimal).

(

is the set of all complex numbers.)

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For the linear programming problem (LPP):

(

is the set of all real numbers)

consider the following statements:

I. The LPP always has a finite optimal value for any

II. The dual of the LPP may be infeasible for some

III. If for some

, the point

is feasible to the dual of the LPP, then

, for any feasible solution

of the LPP.

IV. If for some

and

are the basic variables in the optimal table of the LPP with

, then the optimal value of dual of the LPP is 10.

Then which of the above statements are TRUE?

Your answerChoose one option.

I and III only

I, III and IV only

II and IV only

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2019 · Paper 1