It is known that the ratios a : 2, b : 4 and 1 : 2 are proportional.
Which of the following statements is/are true?

a = 2

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b = 2

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a + b = 4

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ab = 2

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Solution

The correct options are
B
b = 2
D
ab = 2
$∵$ a : 2 is proportional to 1 : 2
$∴$ $\frac{a}{2} = \frac{1}{2}$
$\Rightarrow a = 1$

Also, b : 4 is proportional to 1 : 2
$∴$ $\frac{b}{4} = \frac{1}{2}$
$\Rightarrow b = 2$

So, $a + b = 3$
$a \times b = 1 \times 2 = 2$

Suggest Corrections

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b

a

c

\frac{a^{4} + a^{2} b^{2} + b^{4}}{b^{4} + b^{2} c^{2} + c^{4}} = \frac{a^{2}}{c^{2}}

\to a

\to b

p (x) = a x^{2} + b x + 2

a, b, c

(a > b > c > 0)

(a + b - 2 c) x^{2} + (b + c - 2 a) x + (c + a - 2 b) = 0

(- 1, 0),

⎛ ⎜ ⎝ \begin{matrix} 1 & 2 & 1 a & 2 a & 1 b & 2 b & 1 \end{matrix} ⎞ ⎟ ⎠

⎛ ⎜ ⎝ \begin{matrix} c & 2 c & 1 a & 2 a & 1 b & 2 b & 1 \end{matrix} ⎞ ⎟ ⎠

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