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Maths-

General

Easy

Question

Over $left square bracket negative pi comma pi right square bracket$ the solution of $2 sin squared invisible function application open parentheses x plus pi over 4 close parentheses plus square root of 3 cos invisible function application 2 x greater or equal than 0$ is

$[\frac{- 5 π}{6}, \frac{5 π}{6}]$
$[0, π]$
$[- π, \frac{- 7 π}{12}] \cup [- \frac{π}{4}, \frac{5 π}{12}] \cup [\frac{3 π}{4}, π]$
$[- π, π]$

The correct answer is: $open square brackets negative pi comma fraction numerator negative 7 pi over denominator 12 end fraction close square brackets union open square brackets negative pi over 4 comma fraction numerator 5 pi over denominator 12 end fraction close square brackets union open square brackets fraction numerator 3 pi over denominator 4 end fraction comma pi close square brackets$

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Solution to inequality cos 2x + 5 cos x + 3 ≥ 0 over $left square bracket negative pi comma pi right square bracket$ is

Solution to inequality cos 2x + 5 cos x + 3 ≥ 0 over $left square bracket negative pi comma pi right square bracket$ is

Let $f left parenthesis x right parenthesis equals fraction numerator c o s e c to the power of 4 end exponent invisible function application x minus 2 c o s e c to the power of 2 end exponent invisible function application x plus 1 over denominator c o s e c invisible function application x left parenthesis c o s e c invisible function application x minus s i n invisible function application x right parenthesis plus fraction numerator s i n invisible function application x minus c o s invisible function application x over denominator sin invisible function application x end fraction plus c o t invisible function application x end fraction$ The sum of all the solutions of f (x) = 0 in [0, 100p] is

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The general solution of the trigonometric equation tan x + tan 2x + tan 3x = tan x · tan 2x tan 3x is
where n $element of$ I

The general solution of the trigonometric equation tan x + tan 2x + tan 3x = tan x · tan 2x tan 3x is
where n $element of$ I

parallel

The sum of all the solution of cotθ= sin 2θ(θ ≠ n $straight pi$ , n integer), 0 , $less or equal than theta less or equal than pi$ is

The sum of all the solution of cotθ= sin 2θ(θ ≠ n $straight pi$ , n integer), 0 , $less or equal than theta less or equal than pi$ is

$L t subscript x not stretchy rightwards arrow 0 end subscript fraction numerator left parenthesis 1 plus x right parenthesis to the power of 1 fifth end exponent minus left parenthesis 1 minus x right parenthesis to the power of 1 half end exponent over denominator x end fraction$

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$L t subscript x not stretchy rightwards arrow 0 end subscript fraction numerator sin space open parentheses pi cos squared space x close parentheses over denominator x squared end fraction$

$L t subscript x not stretchy rightwards arrow 0 end subscript fraction numerator sin space open parentheses pi cos squared space x close parentheses over denominator x squared end fraction$

parallel

$L subscript x not stretchy rightwards arrow 0 end subscript fraction numerator e to the power of x minus e cubed over denominator x not stretchy rightwards arrow 0 end fraction$

$L subscript x not stretchy rightwards arrow 0 end subscript fraction numerator e to the power of x minus e cubed over denominator x not stretchy rightwards arrow 0 end fraction$

$L t subscript x not stretchy rightwards arrow 0 end subscript fraction numerator e to the power of 3 x end exponent minus e cubed over denominator x end fraction$

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$Lt subscript x not stretchy rightwards arrow 0 end subscript invisible function application fraction numerator e to the power of 7 x end exponent minus 1 over denominator 7 x end fraction$

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parallel

Which is not a property of hydrophilic sols?

Which is not a property of hydrophilic sols?

chemistry-General

The path of a projectile in the absence of air drag is shown in the figure by dotted line. If the air resistance is not ignored then which one of the path is shown in the figure is appropriate for the projectile

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physics-General

Match Column - I with Column - II and select the correct option from the codes given below.

Match Column - I with Column - II and select the correct option from the codes given below.

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Which graph represents auto catalysis?

Which graph represents auto catalysis?

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A) The frequency band of VHF is greater than UHF of TV transmission
B) Optical fiber transmission has frequency band of 1 THz to 1000 THz

A) The frequency band of VHF is greater than UHF of TV transmission
B) Optical fiber transmission has frequency band of 1 THz to 1000 THz

physics-General

A) Satellite communication uses different frequency bands for uplink and downlink
B) Bandwidth of video signals is 4.2 MHz

A) Satellite communication uses different frequency bands for uplink and downlink
B) Bandwidth of video signals is 4.2 MHz

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