If three homogeneous quantities a - b and c are in continued proportion- such that a - b - b - c or b 2- ac or b - ac - then b is said to be the mean proportional of a and cA- FalseB- True

The correct option is B True If 3 homogenous quantities a,b and c are in such a way that, nbsp;a/b=b/c or b^2=ac or b=±√(ac) nbsp; then b is said to be the ...

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Standard X

Mathematics

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If three homo...

Question

If three homogeneous quantities a,b and c are in continued proportion, such that $\frac{a}{b} = \frac{b}{c} o r b^{2} = a c o r b = \pm \sqrt{a c}$ , then b is said to be the mean proportional of a and c

True

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False

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Solution

The correct option is A
True

If 3 homogenous quantities a,b and c are in such a way that, $\frac{a}{b} = \frac{b}{c} o r b^{2} = a c o r b = \pm \sqrt{a c}$ then b is said to be the mean proportional of a and c. Hence, the statement is true.

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Similar questions

If three homogenous quantities a, b, c are in continued proportion such that $\frac{a}{b} = \frac{b}{c}$ , then which of the following is true?

If a, b, and c are in continued proportion, then $a \times c = b^{2}$ .

Q. The three quantities

a, b, c

are said to be in continued proportion if

Q. If (a + b + c) (a

-

b + c) = a² + b² + c². then show that a, b, c are in continued proportion.

Q. State true or false.

a, b

and

c

are in continued proportion, then

a : c = (a^{2} + b^{2}) : (b^{2} + c^{2})

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If three homogeneous quantities a,b and c are in continued proportion, such that ab=bc or b2=ac or b=±√ac, then b is said to be the mean proportional of a and c

The correct option is A True If 3 homogenous quantities a,b and c are in such a way that, ab=bc or b2=ac or b=±√ac then b is said to be the mean proportional of a and c. Hence, the statement is true.

If three homogeneous quantities a,b and c are in continued proportion, such that $\frac{a}{b} = \frac{b}{c} o r b^{2} = a c o r b = \pm \sqrt{a c}$ , then b is said to be the mean proportional of a and c

The correct option is A
True

If 3 homogenous quantities a,b and c are in such a way that, $\frac{a}{b} = \frac{b}{c} o r b^{2} = a c o r b = \pm \sqrt{a c}$ then b is said to be the mean proportional of a and c. Hence, the statement is true.