Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

JEE Class main Answered

If f(x)=x and g(x)=|x| for all x belonging to R.Then the function phi(X) satisfying [ phi(x) - f(x) ]^2+[ phi(x) - g(x) ]^2=0 is a)phi(x)=x, x=[o,infinity) b)phi(x)=x,x=R c)phi(x)=-x, x=(-infinity,0] d)phi(x)=x+|x|, x=R
Asked by g_archanasharma | 08 Apr, 2019, 05:22: AM
answered-by-expert Expert Answer
G i v e n colon space f left parenthesis x right parenthesis equals x space a n d space g left parenthesis x right parenthesis equals vertical line x vertical line space w h e r e space x element of R T h e space f u n c t i o n space empty set left parenthesis x right parenthesis space s a t i s f i e s left square bracket empty set left parenthesis x right parenthesis minus f left parenthesis x right parenthesis right square bracket squared plus left square bracket empty set left parenthesis x right parenthesis minus g left parenthesis x right parenthesis right square bracket squared equals 0 rightwards double arrow left square bracket empty set left parenthesis x right parenthesis minus x right square bracket squared plus left square bracket empty set left parenthesis x right parenthesis minus vertical line x vertical line right square bracket squared equals 0 rightwards double arrow empty set squared left parenthesis x right parenthesis plus x squared minus 2 x empty set left parenthesis x right parenthesis plus empty set squared left parenthesis x right parenthesis plus x squared minus 2 vertical line x vertical line empty set left parenthesis x right parenthesis equals 0 rightwards double arrow 2 empty set squared left parenthesis x right parenthesis plus 2 x squared minus 2 empty set left parenthesis x right parenthesis left parenthesis x plus vertical line x vertical line right parenthesis equals 0 rightwards double arrow empty set squared left parenthesis x right parenthesis plus x squared minus empty set left parenthesis x right parenthesis left parenthesis x plus vertical line x vertical line right parenthesis equals 0 I f space empty set left parenthesis x right parenthesis equals x comma space x element of left square bracket 0 comma infinity right parenthesis rightwards double arrow empty set squared left parenthesis x right parenthesis plus x squared minus empty set left parenthesis x right parenthesis left parenthesis x plus vertical line x vertical line right parenthesis equals x squared plus x squared minus x left parenthesis x plus x right parenthesis equals 2 x squared minus x left parenthesis 2 x right parenthesis equals 2 x squared minus 2 x squared equals 0 I f space empty set left parenthesis x right parenthesis equals x comma space x element of R space t h e n space t h e space L H S space w i l l space n o t space b e space z e r o space f o r space x space l e s s space t h a n space z e r o I f space empty set left parenthesis x right parenthesis equals negative x comma space x element of left parenthesis negative infinity comma 0 right square bracket comma space t h e n space L H S thin space equals space 2 x squared not equal to 0 I f space empty set left parenthesis x right parenthesis equals x plus vertical line x vertical line comma space x element of R space t h e n space L H S equals x squared not equal to 0 H e n c e comma space empty set left parenthesis x right parenthesis equals x comma space x element of left square bracket 0 comma infinity right parenthesis space i s space t h e space r e q u i r e d space f u n c t i o n.
Answered by Renu Varma | 08 Apr, 2019, 10:37: AM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
JEE main - Maths
in how many ways a team of 2 boys and 4 girls selected from 5 boys and 6 girls
Asked by pallavibirangal87 | 08 Dec, 2024, 10:18: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
if a chord of length 18 cm is 12 cm away from the centre then find the distance of 24 cm long chord from the centre
Asked by pritisindra6 | 06 Dec, 2024, 21:04: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
The number of ways in which at least one coin can be selected from 3 coins of one rupee, 4 coins of fifty paise, 5 coins of twenty paise and 6 coins of ten paise is-
Asked by kanishthkumawat | 29 Nov, 2024, 00:23: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
what is range of tan^-1 x
Asked by pawandhayal125 | 06 Oct, 2024, 10:03: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
what is 2+2
Asked by srishtipra2008 | 28 Sep, 2024, 10:33: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
n arithmetic means are inserted between the numbers 7 and 49. if the sum of these means is 364 then the sum of their squares is
Asked by yogeshsoni575 | 23 Sep, 2024, 23:01: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
consider a dodecagon then number of ways of selecting two triangles which can be made using the vertices of dodecagon so that they do not have a common side.
Asked by sumit.parsudih | 17 Sep, 2024, 22:22: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
the sum of infinite series 1/2(1/3+1/4)-1/4(1/3^2+1/4^2)+1/6(1/3^3+1/4^3)+
Asked by pritamlovevanshi5 | 15 Sep, 2024, 08:24: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
solve the equation 6x-y+3z=10 , 3x+6y=18 , x+y+5z=-10 by jacobis method with (3,0,-2) as the initial approcimate to the solution
Asked by ganeshbabugottapu7 | 12 Sep, 2024, 18:19: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
JEE main - Maths
find the inverse of a Matrix by using gauss Jordan method -2. 1. 3 A = 0. -1. 1 1. 2. 0
Asked by ganeshbabugottapu7 | 10 Sep, 2024, 07:32: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt