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Maths-

General

Easy

Question

Consider the function f(x) = cosx + 2cos kx, k Q, k 0
STATEMENT1 : The equation f(x) = 3 has infinite number of solutions. because
STATEMENT2 : The function f is periodic.

STATEMENT1 is True, STATEMENT2 is True; STATEMENT2 is a correct explanation for STATEMENT1
STATEMENT1 is True, STATEMENT2 is True; STATEMENT2 is NOT a correct explanation for STATEMENT1
STATEMENT1 is True, STATEMENT2 is False
STATEMENT1 is False, STATEMENT2 is True

The correct answer is: STATEMENT1 is True, STATEMENT2 is True; STATEMENT2 is a correct explanation for STATEMENT1

$f left parenthesis theta right parenthesis equals fraction numerator 4 s i n to the power of 2 end exponent invisible function application theta c o s invisible function application theta minus c o s invisible function application theta plus s i n invisible function application theta over denominator 4 left parenthesis c o s invisible function application theta plus s i n invisible function application theta right parenthesis end fraction equals$

Related Questions to study

Statement1: Number of ordered pairs ( $theta$ , x) satisfying 2sin $theta$ = e^x + e^x, $theta$ [0, 3θ] is 2.
Statement2: Number of values of x for which sin2x + cos4x = 2 is zero.

Statement1: Number of ordered pairs ( $theta$ , x) satisfying 2sin $theta$ = e^x + e^x, $theta$ [0, 3θ] is 2.
Statement2: Number of values of x for which sin2x + cos4x = 2 is zero.

If $open vertical bar 2 t a n to the power of negative 1 end exponent invisible function application x plus s i n to the power of negative 1 end exponent invisible function application fraction numerator 2 x over denominator 1 plus x to the power of 2 end exponent end fraction close vertical bar$ is independent of x then

If $open vertical bar 2 t a n to the power of negative 1 end exponent invisible function application x plus s i n to the power of negative 1 end exponent invisible function application fraction numerator 2 x over denominator 1 plus x to the power of 2 end exponent end fraction close vertical bar$ is independent of x then

The displacement vector is represented by

The displacement vector is represented by

Physics-General

parallel

A simple pendulum of time period 2 sec the length of pendulum is

A simple pendulum of time period 2 sec the length of pendulum is

Physics-General

An echo will be heard if the minimum distance between the source of sound and the obstacle is

An echo will be heard if the minimum distance between the source of sound and the obstacle is

Physics-General

The coefficient of xⁿ in the expansion of $fraction numerator 1 over denominator open parentheses 1 minus x close parentheses open parentheses 3 minus x close parentheses end fraction$ is

The coefficient of xⁿ in the expansion of $fraction numerator 1 over denominator open parentheses 1 minus x close parentheses open parentheses 3 minus x close parentheses end fraction$ is

parallel

Coefficient of x⁵ in the expansion of (1 + x²)⁵(1 + x)⁴ is

Coefficient of x⁵ in the expansion of (1 + x²)⁵(1 + x)⁴ is

Number of terms in (1 +x)¹⁰¹ (1 + x² –x)¹⁰⁰ is

Number of terms in (1 +x)¹⁰¹ (1 + x² –x)¹⁰⁰ is

The number of ways in which a mixed double game can be arranged amongst nine married couples so that no husband and his wife play in the same game, is equal to:

The number of ways in which a mixed double game can be arranged amongst nine married couples so that no husband and his wife play in the same game, is equal to:

parallel

There are ‘n’ numbered seats around a round table. Total number of ways in which $n subscript 1 end subscript left parenthesis n subscript 1 end subscript less than n right parenthesis$ persons can sit around the round table, is equal to:

There are ‘n’ numbered seats around a round table. Total number of ways in which $n subscript 1 end subscript left parenthesis n subscript 1 end subscript less than n right parenthesis$ persons can sit around the round table, is equal to:

(A) An exothermic process, non-spontaneous at high temperature, may become spontaneous at low tempemture.
(R) With decrease in temperature, randomness (entropy) decrease.

(A) An exothermic process, non-spontaneous at high temperature, may become spontaneous at low tempemture.
(R) With decrease in temperature, randomness (entropy) decrease.

Chemistry-General

Nature of sound wave is

Nature of sound wave is

Physics-General

parallel

(A) Pressure, volume and temperature are all extensive properties
(R) Extensive properttes depend upon the amount and nature of the substance

(A) Pressure, volume and temperature are all extensive properties
(R) Extensive properttes depend upon the amount and nature of the substance

Chemistry-General

(A) Heat of neutralization of perchloric acid, HCI0₄, with NaOH is same as that of HCl with NaOH
(R) Both HCI and HCI0₄ are strong acids

(A) Heat of neutralization of perchloric acid, HCI0₄, with NaOH is same as that of HCl with NaOH
(R) Both HCI and HCI0₄ are strong acids

Chemistry-General

(A) Enthalpy of graphite is lower than that of diamond
(R) Entropy of graphite is lower than that of diamond

(A) Enthalpy of graphite is lower than that of diamond
(R) Entropy of graphite is lower than that of diamond

Chemistry-General

parallel

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