Assertion(A): The minimum value of 16cot x + 9 tan x is 3
Reason (R): For two positve real numbers a and b, $A . M \geq G . M$

Both A and R are true and R is the correct explanation of A

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Both A and R are true and R is not the correct explanation of A

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A is true and R is false

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A is false and R is true

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Solution

The correct options are
D A is false and R is true
use AM & GM inequality
$\frac{16 c o t x + 9 t a n x}{2} \geq \sqrt{16 c o t x \times 9 t a n x}$
$16 c o t x + 9 t a n x \geq 24$

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Similar questions

Assertion: If $x \neq y$ , then $(x, y) \neq (y, x)$
Reason: If x=y, then $(x, y) \neq (y, x)$
Which of the following is correct?

This question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code:

(a) Both Assertion (A) and Reason (R) are true and Reason (R) correct explanation of Assertion (A).

(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

(d) Assertion (A) is false and Reason (R) is true.

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