Maths-
General
Easy
Question
Let
The sum of all the solutions of f (x) = 0 in [0, 100p] is
- 2550
- 2500
- 5000
- 5050
The correct answer is: 5000
Related Questions to study
maths-
The general solution of the trigonometric equation tan x + tan 2x + tan 3x = tan x · tan 2x tan 3x is
where n
I
We know that
tan x · tan 2x · tan 3x = tan 3x – tan 2x – tan x
hence tan x + tan 2x + tan 3x = tan 3x – tan 2x – tan x
Þ tan x + tan 2x = 0
\ tan 2x = tan (– x)
2x = np – x

tan x · tan 2x · tan 3x = tan 3x – tan 2x – tan x
hence tan x + tan 2x + tan 3x = tan 3x – tan 2x – tan x
Þ tan x + tan 2x = 0
\ tan 2x = tan (– x)
2x = np – x
The general solution of the trigonometric equation tan x + tan 2x + tan 3x = tan x · tan 2x tan 3x is
where n
I
maths-General
We know that
tan x · tan 2x · tan 3x = tan 3x – tan 2x – tan x
hence tan x + tan 2x + tan 3x = tan 3x – tan 2x – tan x
Þ tan x + tan 2x = 0
\ tan 2x = tan (– x)
2x = np – x

tan x · tan 2x · tan 3x = tan 3x – tan 2x – tan x
hence tan x + tan 2x + tan 3x = tan 3x – tan 2x – tan x
Þ tan x + tan 2x = 0
\ tan 2x = tan (– x)
2x = np – x
maths-
The sum of all the solution of cotθ= sin 2θ(θ ≠ n
, n integer), 0 ,
is
For the given relation cos q = (2 sin q cos q) sin q, sin q¹ 0

Then the sum of roots is 3p/2
Then the sum of roots is 3p/2
The sum of all the solution of cotθ= sin 2θ(θ ≠ n
, n integer), 0 ,
is
maths-General
For the given relation cos q = (2 sin q cos q) sin q, sin q¹ 0

Then the sum of roots is 3p/2
Then the sum of roots is 3p/2
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Let 7x
Maths-General
Let 7x
chemistry-
Which is not a property of hydrophilic sols?
Which is not a property of hydrophilic sols?
chemistry-General
physics-
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

If air resistance is taken into consideration then range and maximum height, both will decrease
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

physics-General
If air resistance is taken into consideration then range and maximum height, both will decrease
biology
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.

biologyGeneral
chemistry-
Which graph represents auto catalysis?
Which graph represents auto catalysis?
chemistry-General
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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
physics-
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
physics-General
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The TV broad casting bands are
The TV broad casting bands are
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The FM Radio broad casting band is
The FM Radio broad casting band is
physics-General