Total number of solutions of the equation 3 x-2 tan x-5 -2 in -0-2 - is equal to

The correct option is C 33x + 2 tan x = 5x/2⇒tan x = 5π/4 3π/2 Graphs of y = 5π/4 3x/2 and y = tan x, meet exactly three times in [0, 2 π]. Thus there are ...

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Standard XII

Mathematics

Parametric Representation: Hyperbola

Total number ...

Question

Total number of solutions of the equation $3 x + 2 tan x = \frac{5 π}{2}$ in $\in [0, 2 π],$ is equal to

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Solution

The correct option is C 3
$3 x + 2 tan x = \frac{5 x}{2} \Rightarrow tan x = \frac{5 π}{4} - \frac{3 π}{2}$
Graphs of y = $\frac{5 π}{4} - \frac{3 x}{2}$ and $y = tan x,$ meet exactly three times in $[0, 2 π] .$ Thus there are 3 solutions.

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Total number of solutions of the equation 3x+2tanx=5π2 in ∈[0,2π], is equal to

The correct option is C 33x+2tanx=5x2⇒tanx=5π4−3π2 Graphs of y = 5π4−3x2 and y=tanx, meet exactly three times in [0,2π]. Thus there are 3 solutions.

Total number of solutions of the equation $3 x + 2 tan x = \frac{5 π}{2}$ in $\in [0, 2 π],$ is equal to

The correct option is C 3
$3 x + 2 tan x = \frac{5 x}{2} \Rightarrow tan x = \frac{5 π}{4} - \frac{3 π}{2}$
Graphs of y = $\frac{5 π}{4} - \frac{3 x}{2}$ and $y = tan x,$ meet exactly three times in $[0, 2 π] .$ Thus there are 3 solutions.