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 sec2 (a + 2) x + a2 -1 = 0. And interval is –π < x < π . We know that sec2 x-1 = tan2x, 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, sec2x-1 = tan2x. Remember these terms and solve the problem.
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,
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If
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is
The most general solution of the equations is
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is
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=
and cosec = – 2 is :
In this question, we have given cotθ = -√3 and cosecθ = -2. Where θ for both is -π/6 and then write the general solution.
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Let S = 
The sun of all distinct solution of the equation 
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A wave motion has the function 
The graph in figure shows how the displacement 
at a fixed point varies with time 
Which one of the labelled points shows a displacement equal to that at the position 
at time 
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, the equation 
has
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and 
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cannot satisfy
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.
Let be such that and Then cannot satisfy
In this question we have to find the the which region ϕ cannot satisfy. In this question more than one option is correct. Here firstly solve the given equation. Remember that, , tan x + cot x = .
