Assertion -If A-B-C are acute positive angles then sinA-sinBsinB-sinCsinC-sinA-sinAsinBsinC- 8 Reason- AM- GM

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AM,GM,HM Inequality

Assertion :If...

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Assertion :If A,B,C are acute positive angles then $\frac{(sin A + sin B) (sin B + sin C) (sin C + sin A)}{sin A sin B sin C} \geq 8$ Reason: $A M \geq G M$

Statement-1 is false, statement-2 is true

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Statement-1 is true, statement-2 is true,statement-2 is a correct explanation for statement-1

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Statement-1 is true, statement-2 is true,statement-2 is not a correct explanation for statement-1

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Statement-1 is true, statement-2 is false

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- 1 :

0 < x < y \Rightarrow {log}_{a} x > {log}_{a} y

a > 1

- 2 :

a > 1, {log}_{a} x

\sum_{r = 0}^{n} (r + 1)^{n} C_{r} = (n + 2) 2^{n - 1} .

\sum_{r = 0}^{n} (r + 1)^{n} C_{r} x^{r} = (1 + x)^{n} + n x (1 + x)^{n - 1} .

\sum_{r = 0}^{n} (r + 1)^{n} C_{r} = (n + 2) 2^{n - 1} .

\sum_{r = 0}^{n} (r + 1)^{n} C_{r} x^{r} = (1 + x)^{n} + n x (1 + x)^{n - 1} .

n \geq 2,

\frac{1}{\sqrt{1}} + \frac{1}{\sqrt{2}} + . . . + \frac{1}{\sqrt{n}} > \sqrt{n}

\sqrt{n (n + 1)} < n + 1

- 1 :

x^{{log}_{x} (3 - x)^{2}} = 25

x = - 2

- 2 :

a^{{log}_{a} x} = x

a > 0, x > 0

a \neq 1

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