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Sia ? 6 years, 6 months ago
If infinite number of solutions,
{tex}\frac{{{a_1}}}{{{a_2}}} = \frac{{{b_1}}}{{{b_2}}} = \frac{{{c_1}}}{{{c_2}}}{/tex}
or {tex}\frac{2}{{a + b + 1}} = \frac{3}{{a + 2b + 2}} = \frac{7}{{4a + 4b + 1}}{/tex}
If {tex}\frac{2}{{a + b + 1}} = \frac{3}{{a + 2b + 2}}{/tex}
{tex}\Rightarrow{/tex} a - b = 1
and if {tex}\frac{3}{{a + 2b + 2}} = \frac{7}{{4a + 4b + 1}}{/tex}
{tex}\Rightarrow{/tex} 5a - 2b = 11
On solving we get,
a = 3 and b = 2
Posted by Saransh Jaiswal 6 years, 4 months ago
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Sia ? 6 years, 4 months ago
If infinite number of solutions,
{tex}\frac{{{a_1}}}{{{a_2}}} = \frac{{{b_1}}}{{{b_2}}} = \frac{{{c_1}}}{{{c_2}}}{/tex}
or {tex}\frac{2}{{a + b + 1}} = \frac{3}{{a + 2b + 2}} = \frac{7}{{4a + 4b + 1}}{/tex}
If {tex}\frac{2}{{a + b + 1}} = \frac{3}{{a + 2b + 2}}{/tex}
{tex}\Rightarrow{/tex} a - b = 1
and if {tex}\frac{3}{{a + 2b + 2}} = \frac{7}{{4a + 4b + 1}}{/tex}
{tex}\Rightarrow{/tex} 5a - 2b = 11
On solving we get,
a = 3 and b = 2
Posted by Saransh Jaiswal 6 years, 11 months ago
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density = mass / volume
And then find the radius from the volume
volume = 4πr3/3
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Yogita Ingle 6 years, 11 months ago
Fundamental Theorem of Arithmetic states that every composite number greater than 1 can be expressed or factorised as a unique product of prime numbers except in the order of the prime factors.
The HCF of two numbers is equal to the product of the terms containing the least powers of common prime factors of the two numbers.
The LCM of two numbers is equal to the product of the terms containing the greatest powers of all prime factors of the two numbers.
The product of the given numbers is equal to the product of their HCF and LCM. This result is true for all positive integers and is often used to find the HCF of two given numbers if their LCM is given and vice versa. For any two positive integers a and b, HCF(a , b) x LCM(a , b) = a x b
Posted by Shailendra Singh 6 years, 11 months ago
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Ram Kushwah 6 years, 11 months ago
Let the numbers be a-d,d,a+d
Then a-d+d+a+d=27
3a=27, a=9
Now product of fist and last term
=(a-d)(a+d)=56
{tex}\begin{array}{l}a^2-d^2=56\\81-d^2=56\\d^2=81-56=25\\d=5\\so\;the\;nubers\;are\;4,9,14\\\end{array}{/tex}
Posted by Bishal Das 6 years, 11 months ago
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Ram Kushwah 6 years, 11 months ago
{tex}\begin{array}{l}\sqrt6+\sqrt6+\sqrt6\\=3\sqrt6\;=3\times2.45=7.35\end{array}{/tex}

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Deepika Singh 6 years, 11 months ago
0Thank You