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Solutions to Revision Exercise 12 (Ho Soo Thong & Khor Nyak Hiongs Panpac Additional Mathematics)

Solved by: Dr Lee Chu Keong (ascklee@gmail.com)

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Revision Exercise 12 This PDF file only contains solutions. For the questions, please refer to Ho Soo Thong

and Khor Nyak Hiongs textbook, Additional Mathematics.

Question 1(a)

( )( )

( )

( )

Question 1(b)

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Square both sides of the equation:

( )( )

(

)

Reject as

( )

Reject as

Solution:

Question 1(c)

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(

)

Question 1(d)

[ ]

( ) ( )

( )

Question 3(a)

( )

( )

( )

( )

( )( )

( )

Question 3(b)

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Dividing throughout by :

( )

Collecting like terms:

( )

Question 4(a)

Note:

( )

( )

(

)

( )

Question 4(b)(i)

( ) ( )

Question 4(b)(ii)

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Question 4(b)(iii)

( )( )

Question 5(a)

Just focus first on

Using ( )

( )

( )

Question 5(b)

( )

( )

( )

(

)

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Question 6(a)

( )

(

)

( )

Question 6(a)(i)

Question 6(a)(ii)

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For the maximum value, the denominator must be the smallest value possible. This is

achieved when

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For the maximum value, the denominator must be the largest value possible. This is

achieved when

Question 6(a)(iii)

[ ( )]

For the maximum value, the denominator must be the smallest value possible. This is

achieved when

For the maximum value, the denominator must be the largest value possible. This is

achieved when

Question 6(b)

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( )

( )

( ) ( )

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