Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

$0 less or equal than a less or equal than 3 comma 0 less or equal than b less or equal than 3$ and the equation $x squared plus 4 plus 3 cos space left parenthesis a x plus b right parenthesis equals 2 x$ has at least one solution then the value of (a+b)

$\frac{π}{2}$
$\frac{π}{4}$
$\frac{π}{3}$
$π$

hint Hint:

In this question, we have to find the value of (a +b) if $0 less or equal than a less or equal than 3 comma 0 less or equal than b less or equal than 3$ and the equation $x squared plus 4 plus 3 cos space left parenthesis a x plus b right parenthesis equals 2 x$ has at least one solution. For that first we will solve the given equation to find all the possible value and later examine it with the condition given to find the required answer.

The correct answer is: $pi$

$x squared plus 4 plus 3 space cos space left parenthesis a x plus c right parenthesis equals 2 x rightwards double arrow x squared minus 2 x plus 4 plus 3 space cos space left parenthesis a x plus b right parenthesis equals 0 rightwards double arrow left parenthesis x minus 1 right parenthesis squared plus 3 equals negative 3 c o s left parenthesis a x plus b right parenthesis L e t space f left parenthesis x right parenthesis equals left parenthesis x minus 1 right parenthesis squared plus 3 space a n d space f left parenthesis x right parenthesis equals negative 3 space cos space left parenthesis a x plus b right parenthesis I f space x equals 1 comma space L H S space equals 3 space a n d space R H S equals negative 3 cos left parenthesis a plus b right parenthesis S o comma space minus 3 cos left parenthesis a plus b right parenthesis equals 3 rightwards double arrow cos left parenthesis a plus b right parenthesis equals negative 1 rightwards double arrow a plus b space equals pi comma space 3 pi comma space 5 pi B u t space 0 less or equal than a less or equal than 3 comma 0 less or equal than b less or equal than 3 rightwards double arrow a plus b equals pi$

Related Questions to study

Correct order for stability of carbocation is

Correct order for stability of carbocation is

ChemistryGeneral

If $x equals sec space theta plus tan space theta comma y equals cosec space theta minus cot space theta text then end text y equals$

If $x equals sec space theta plus tan space theta comma y equals cosec space theta minus cot space theta text then end text y equals$

For all values of $theta$ , the values of $3 minus cos space theta plus cos space open parentheses theta plus pi over 3 close parentheses$ lie in the interval

For all values of $theta$ , the values of $3 minus cos space theta plus cos space open parentheses theta plus pi over 3 close parentheses$ lie in the interval

parallel

$left parenthesis sin space x minus cos space x right parenthesis squared plus cos squared space open parentheses pi over 4 minus x close parentheses element of$

$left parenthesis sin space x minus cos space x right parenthesis squared plus cos squared space open parentheses pi over 4 minus x close parentheses element of$

$5 cos space theta plus 3 cos space open parentheses theta minus pi over 3 close parentheses plus 8 element of$

$5 cos space theta plus 3 cos space open parentheses theta minus pi over 3 close parentheses plus 8 element of$

$cos space open parentheses x plus pi over 6 close parentheses cos space open parentheses x minus pi over 6 close parentheses element of$

$cos space open parentheses x plus pi over 6 close parentheses cos space open parentheses x minus pi over 6 close parentheses element of$

parallel

does not exist Extreme Values; $cos space invisible function application x plus sin to the power of 4 space x element of$

does not exist Extreme Values; $cos space invisible function application x plus sin to the power of 4 space x element of$

$left parenthesis sin space x plus cos space x right parenthesis squared plus cos squared space open parentheses pi over 4 plus x close parentheses element of$

$left parenthesis sin space x plus cos space x right parenthesis squared plus cos squared space open parentheses pi over 4 plus x close parentheses element of$

The minimum and maximum values of $cos space x plus 3 square root of 2 sin space open parentheses x plus pi over 4 close parentheses plus 6$ are

The minimum and maximum values of $cos space x plus 3 square root of 2 sin space open parentheses x plus pi over 4 close parentheses plus 6$ are

parallel

The minimum and maximum values of $sin space open parentheses x plus pi over 4 close parentheses sin space open parentheses x minus pi over 4 close parentheses$ are

The minimum and maximum values of $sin space open parentheses x plus pi over 4 close parentheses sin space open parentheses x minus pi over 4 close parentheses$ are

$sin squared space x plus cos to the power of 4 space x element of$

$sin squared space x plus cos to the power of 4 space x element of$

A piston fitted in cylindrical pipe is pulled as shown in the figure. A tuning fork is sounded at open end and loudest sound is heard at open length 13cm, 41 cm and 69 cm, the frequency of tuning fork if velocity of sound is $350 m s to the power of negative 1 end exponent$ is

A piston fitted in cylindrical pipe is pulled as shown in the figure. A tuning fork is sounded at open end and loudest sound is heard at open length 13cm, 41 cm and 69 cm, the frequency of tuning fork if velocity of sound is $350 m s to the power of negative 1 end exponent$ is

physics-General

parallel

In a sine wave, position of different particles at time $t equals 0$ is shown in figure. The equation for this wave travelling along positive $x minus a x i s$ can be

In a sine wave, position of different particles at time $t equals 0$ is shown in figure. The equation for this wave travelling along positive $x minus a x i s$ can be

physics-General

The function $sin space open parentheses x squared close parentheses$ $plus cos space square root of x$ is

The function $sin space open parentheses x squared close parentheses$ $plus cos space square root of x$ is

The period of the function $f left parenthesis x right parenthesis equals left square bracket 6 x plus 7 right square bracket plus cos space pi x minus 6 x$ where [.] de-notes the greatest integer function, is

The period of the function $f left parenthesis x right parenthesis equals left square bracket 6 x plus 7 right square bracket plus cos space pi x minus 6 x$ where [.] de-notes the greatest integer function, is

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.