# Functions & Limits

## QUESTION:

If f(x,y) = 3x + 2y and g(x,y) = x2 – y2 for all real numbers of x and y, then f(g(1,2)3) = ?

## OPTIONS:

• -8
• -3
• 9
• 6 -3

## EXPLANATION:

F(g(1,2)3) = 3(1-4) + 2(3) = -3

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# MATRICES & DETERMINANTS

## QUESTION:  ## OPTIONS:

• 0
• 1
• 100
• -100 0

## EXPLANATION: SAMPLE PHYSICS QUESTIONS

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# Sets & Functions

## QUESTION:

The set of fourth roots of unity are closed with respect to?

## OPTIONS:

• Addition
• Division
• Subtraction
• None of the above Division

## EXPLANATION:

Set = {1,-1,i,-i}

Addition: 1 + i is not part of the set;

Subtraction: 1 – i is not part of the set;

Any division operation in the set results in an element which is part of the set. E.g. 1/i = i/i2 = -i. Hence it is closed w.r.t division;

Remember that set of fourth roots of unit are closed w.r.t multiplication and division.

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