C-11-Q087mediumsingle_mcq

If $\dfrac{a+b}{b+c} = \dfrac{c+d}{d+a}$ , then—

a $a + b = c + d$
b $a = c$ or $a + b + c + d = 0$
c $a = b = c = d$
d $ab = cd$

ব্যাখ্যা

Cross-multiplying and collecting terms factors the equation as $(a-c)(a+b+c+d)=0$ . A product is zero only when a factor is zero, so either $a=c$ or $a+b+c+d=0$ .

এই অধ্যায়ের আরও প্রশ্ন

C-11-Q088If and are not mutually equal, the value of each ratio is—
C-11-Q089If , then equals—
C-11-Q090If are continued proportional, then
C-11-Q091If are continued proportional, then equals—
C-11-Q092Given , the value of is—
C-11-Q093If , then
C-11-Q094The solutions of Example 5, where , include—
C-11-Q095The condition in Example 5 ensures—
C-11-Q096By componendo-dividendo on , the next simplified form is—
C-11-Q097If , then equals—

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

If $\dfrac{a+b}{b+c} = \dfrac{c+d}{d+a}$ , then—

a + b = c + d

a = c

a + b + c + d = 0

a = b = c = d

ab = cd

ব্যাখ্যা

Cross-multiplying and collecting terms factors the equation as $(a-c)(a+b+c+d)=0$ . A product is zero only when a factor is zero, so either $a=c$ or $a+b+c+d=0$ .

If a+bb+c=c+dd+a\dfrac{a+b}{b+c} = \dfrac{c+d}{d+a}b+ca+b​=d+ac+d​, then—

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

If a+bb+c=c+dd+a\dfrac{a+b}{b+c} = \dfrac{c+d}{d+a}b+ca+b​=d+ac+d​, then—

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

If $\dfrac{a+b}{b+c} = \dfrac{c+d}{d+a}$ , then—

If $\dfrac{a+b}{b+c} = \dfrac{c+d}{d+a}$ , then—