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হোম›নবম-দশম শ্রেণি›English Version›Mathematics›Algebraic Ratio and Proportion›C-11-Q158

C-11-Q158mediummulti_combo_mcq

If $b, a, c$ are continued proportional, which combination is correct?

$a^2 = bc$
$\dfrac{a}{b-a} = \dfrac{c}{a-c}$
$\dfrac{a+b}{a-b} = \dfrac{c+a}{c-a}$

ai and ii
bi and iii
cii and iii
di, ii and iii

ব্যাখ্যা

With $b, a, c$ in continued proportion, $b:a = a:c$ , giving $a^2 = bc$ (statement i). From this relation, applying componendo–dividendo confirms both and , so all three statements hold.

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=

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Algebraic Ratio and Proportion — সব প্রশ্ন দেখুন (180টি) →