Question

# Number of ordered pairs (a, x) satisfying the equation is

- 1
- 2
- 3
- 4

Hint:

### In this question, we have written the ordered pair of (a, x) of equation sec^{2} (a + 2) x + a^{2} -1 = 0. And interval is –π < x < π . We know that sec^{2} x-1 = tan^{2}x, use this formula into this question and solve the following.

## The correct answer is: 3

### Here we have to write the order pair of (a, x).

Firstly, we have given equation,

Both terms must be zero, so we can write,

But it's not possible because π , - π are open interval so value no include, so we can write,

we have to write the pair of (a, x) which is:

Hence, there are 3 ordered pair.

Therefore, the correct answer is 3.

In this question, we have to find the ordered pair of (a, x). For that solve the equation. Here, sec^{2}x-1 = tan^{2}x. Remember these terms and solve the problem.

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