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Number of the solutions of the equation 32^tan^2⁡x +32^sec^2⁡x =81,0≤x≤π/4 is

Number of the solutions of the equation
32^tan^2⁡x +32^sec^2⁡x =81,0≤x≤π/4 is
(a) 2 (b) 3 (c) 1 (d) 0
Ans: c
Sol.
32^tan^2⁡x +32^(1+tan^2⁡x )=81
33×32^tan^2⁡x =81⇒32^tan^2⁡x =27/11
tan^2⁡〖x=ln_32⁡(27/11) 〗⇒tan⁡〖x=√(ln_32⁡(27/11) )〗∈(0,1)
One solution in [0,π/4].
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Видео Number of the solutions of the equation 32^tan^2⁡x +32^sec^2⁡x =81,0≤x≤π/4 is канала Math Master - Impetus Gurukul
iit jee previous year maths questions solutions iit maths paper solution iit topic wise maths paper solutions impetus gurukul sharad gupta ncert class 12 maths paper solutions #jee_maths #jee_pyq #jeepyq #jeemains #jeepapersolution #jeepaperanalysis Number of the solutions of the equation 32^tan^2⁡x +32^sec^2⁡x =81 0≤x≤π/4 is
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