QUESTION 11 Choose two inequalities which represent the hatched area not containing the border, from (1) to (10).  ...

Senshu 2007 Mathematics 11

QUESTION 11 Choose two inequalities which represent the hatched area not containing the border, from (1) to (10).  ...

QUESTION 01 When \(\dfrac {a + b}{4} = \dfrac {b+c}{5} = \dfrac{c+a}{6}\), then ratio \(a : b : c...

Senshu 2007 Mathematics 01

QUESTION 01 When \(\dfrac {a + b}{4} = \dfrac {b+c}{5} = \dfrac{c+a}{6}\), then ratio \(a : b : c...

QUESTION 02 When \(a = 3+2 \sqrt{2}\) and \(b = 3 - 2 \sqrt{2}\), then \(a^2 + b^2 =\)...

Senshu 2007 Mathematics 02

QUESTION 02 When \(a = 3+2 \sqrt{2}\) and \(b = 3 - 2 \sqrt{2}\), then \(a^2 + b^2 =\)...

QUESTION 03 \(\cos 30^{\text{o}} \sin 45^{\text{o}} \tan 60^{\text{o}} + \cos 135^{\text{o}} \sin 120^{\text{o}} \tan 150^{\text{o}} = \sqrt{m}\). The value...

Senshu 2007 Mathematics 03

QUESTION 03 \(\cos 30^{\text{o}} \sin 45^{\text{o}} \tan 60^{\text{o}} + \cos 135^{\text{o}} \sin 120^{\text{o}} \tan 150^{\text{o}} = \sqrt{m}\). The value...

QUESTION 04 The solutions of an equation \((x + 1)^2 + 9 (x + 1) + 20 = 0\)...

Senshu 2007 Mathematics 04

QUESTION 04 The solutions of an equation \((x + 1)^2 + 9 (x + 1) + 20 = 0\)...

QUESTION 05 When the range of \(x\) determined by \(-ax^2 + bx + 4 \geq 0\) is \(- \dfrac...

Senshu 2007 Mathematics 05

QUESTION 05 When the range of \(x\) determined by \(-ax^2 + bx + 4 \geq 0\) is \(- \dfrac...

QUESTION 06 When \(a = 3\) and \(b = 2\), then \(\log_a b^a \times \log_b a^b =\) 🔍 Solution...

Senshu 2007 Mathematics 06

QUESTION 06 When \(a = 3\) and \(b = 2\), then \(\log_a b^a \times \log_b a^b =\) 🔍 Solution...

QUESTION 07 Let \(f(x) =-x^2 - 2ax + b, (a \neq 0)\). When \(f (1) = 3\) and the...

Senshu 2007 Mathematics 07

QUESTION 07 Let \(f(x) =-x^2 - 2ax + b, (a \neq 0)\). When \(f (1) = 3\) and the...

QUESTION 08 Let a sequence \(a_n = 2, 5, 8, 11, \dotso , a_n\). If \(a_n > 100\), the...

Senshu 2007 Mathematics 08

QUESTION 08 Let a sequence \(a_n = 2, 5, 8, 11, \dotso , a_n\). If \(a_n > 100\), the...

QUESTION 09 Let \(f(x) = x^3 - 2x + 4\). (1) \(f(2) = \) (2) Differential coefficient \(f'(2) =...

Senshu 2007 Mathematics 09

QUESTION 09 Let \(f(x) = x^3 - 2x + 4\). (1) \(f(2) = \) (2) Differential coefficient \(f'(2) =...