C-11-Q154: If $\dfrac{a+b}{b+c} = \dfrac{b+c}{c+a} = \dfrac{c+a}{a+b}$ and $a + b… | প্রশ্ন করি

হোম›নবম-দশম শ্রেণি›English Version›Mathematics›Algebraic Ratio and Proportion›C-11-Q154

C-11-Q154mediumsingle_mcq

If $\dfrac{a+b}{b+c} = \dfrac{b+c}{c+a} = \dfrac{c+a}{a+b}$ and $a + b + c \ne 0$ , then—

a $a = b = c$
b $a + b + c = 0$

ব্যাখ্যা

When three equal ratios are cyclically formed from $a+b$ , $b+c$ , $c+a$ and their sum is non-zero, each fraction must equal $1$ . This forces , which yields .

154/180

এই অধ্যায়ের আরও প্রশ্ন

C-11-Q155If a rectangular solid has its height reduced by , the volume decreases by—
C-11-Q156If a product is sold at profit, the ratio of selling price to cost price is—
C-11-Q157If sides of a square double, the area becomes how many times the original?
C-11-Q158If are continued proportional, which combination is correct?
C-11-Q159Sides of triangle in ratio , perimeter cm. Difference between largest and smallest sides is—
C-11-Q160The same triangle in cm² has area—
C-11-Q161A product is bought for Tk. and sold at loss. Ratio of selling price to cost price is—
C-11-Q162Ratio of absent to present students is . If originally absent students had been present, the ratio would have

abc = 0

a = -b - c

a+b = b+c = c+a

a = b = c

C-11-Q163

If the ratio of two numbers is and their H.C.F. is , the L.C.M. of the numbers is—

C-11-Q164If and , then are in—

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

If a+bb+c=b+cc+a=c+aa+b\dfrac{a+b}{b+c} = \dfrac{b+c}{c+a} = \dfrac{c+a}{a+b}b+ca+b​=c+ab+c​=a+bc+a​ and a+b+c≠0a + b + c \ne 0a+b+c=0, then—

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

If $\dfrac{a+b}{b+c} = \dfrac{b+c}{c+a} = \dfrac{c+a}{a+b}$ and $a + b + c \ne 0$ , then—