C-11-Q095mediumsingle_mcq

The condition $0 < b < 2a < 2b$ in Example 5 ensures—

athe value under the square root is non-negative
bthe denominators become zero
c $a$ equals $b$
d $a + b = 0$

ব্যাখ্যা

The non-zero roots contain $\sqrt{\frac{2a}{b}-1}$ , which is real only when $\frac{2a}{b}-1\geq0$ . The stated inequality $0<b<2a<2b$ guarantees this quantity under the radical stays non-negative.

এই অধ্যায়ের আরও প্রশ্ন

C-11-Q096By componendo-dividendo on , the next simplified form is—
C-11-Q097If , then equals—
C-11-Q098If , with positive, equals—
C-11-Q099If , then equals—
C-11-Q100The compound ratio of and is—
C-11-Q101Two ratios and can be combined into the continued ratio—
C-11-Q102To express and in the form , the subsequent of the first is made equal to the antecedent of the second using t
C-11-Q103Therefore and in continued ratio form is—
C-11-Q104If and , then
C-11-Q105If Roni : Soni = and Soni : Samir = , then Roni : Soni : Samir is—

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

The condition $0 < b < 2a < 2b$ in Example 5 ensures—

athe value under the square root is non-negative

bthe denominators become zero

a

equals

b

a + b = 0

ব্যাখ্যা

The non-zero roots contain $\sqrt{\frac{2a}{b}-1}$ , which is real only when $\frac{2a}{b}-1\geq0$ . The stated inequality $0<b<2a<2b$ guarantees this quantity under the radical stays non-negative.

The condition 0<b<2a<2b0 < b < 2a < 2b0<b<2a<2b in Example 5 ensures—

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

The condition 0<b<2a<2b0 < b < 2a < 2b0<b<2a<2b in Example 5 ensures—

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

The condition $0 < b < 2a < 2b$ in Example 5 ensures—

The condition $0 < b < 2a < 2b$ in Example 5 ensures—