Maths-
General
Easy
Question
The number of distinct real roots of
in the interval
is
- 0
- 2
- 1
- 3
The correct answer is: 1
Related Questions to study
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If , then the number of real values of x, which satisfy the equation
is :
If , then the number of real values of x, which satisfy the equation
is :
maths-General
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The number of solutions of the equation
in the interval
is
The number of solutions of the equation
in the interval
is
maths-General
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The possible values of such that
are :
The possible values of such that
are :
maths-General
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The number of values of x in the interval [0, 3
] satisfying the equation ,
is
The number of values of x in the interval [0, 3
] satisfying the equation ,
is
maths-General
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The number of solutions of tan x + sec x = 2 cos x in [0, 2], is
The number of solutions of tan x + sec x = 2 cos x in [0, 2], is
maths-General
maths-
Over the solution of
is
Over the solution of
is
maths-General
maths-
Solution to inequality cos 2x + 5 cos x + 3 ≥ 0 over
is
Solution to inequality cos 2x + 5 cos x + 3 ≥ 0 over
is
maths-General
maths-
Let
The sum of all the solutions of f (x) = 0 in [0, 100p] is
Let
The sum of all the solutions of f (x) = 0 in [0, 100p] is
maths-General
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
Maths-
Maths-General
Maths-
Maths-General
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maths-General
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maths-General
Maths-
Let 7x
Maths-General
Let 7x