Class 12 Ex 1.2 Q7 Math | Relation & Function | Q7 Ex 1.2 Class 12 Math | Ex 1.2 Q7 Class 12 Math

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Sir u r the best teacher god bless you...☺️.

deedarsinghpanch
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Q.7) ii) f : R->R
f(x)=1+x^2
Ans... f(1)=1+(1)^2=1
f(-1)=1+(-1)^2=1
So, 1 is not = -1 -> f(1)=f(-1)
So f is not one-one.

For x belongs to R
f(x)=1+x^2 belongs to R+
Range of f, Rf = R+ is not =R is not equal to codomain.
So f is not onto function.


Hope it will help you.

Shru
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Sir in Qno 7(i)
In one one if we put 1/4 & 0 then result is 3...So, in this way it will be many one...

Please solve this problem...I have doubt in it

biswanathsarnokar
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Sir 2nd part mai apne onto ki justification kyu nhi di ??

sandeepkourkhalsa
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Sir u r realllyy a best person God aapko hmesha khush rkhe sir😍🥰

riya_sharma
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Best explanation, easy and lucid manner🎉❤ thank you guru ji

varshachadha
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Sir second number ko justify kyun nahi kiye??

SB_DEVIL
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Thanks sir ❤ For The Best Explanation 😊

OkySid
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Best and best explanation sir and thanks a lot 👍👍

manvendrasingh
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Sir i m very very grateful for your explanation, keep going on we all will support you

dhiraj
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Love you as a student sir your explanation is op

gamerboy.
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Justification is totally meaningless .

ritik
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Sir aap sahi keh rahe ho isse best solution kahi nahi milega 👍👍👍

zeenatakhlaque
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Sir agar √2 domain mai dal kar dekh toh 3-4√2 aa raha hai toh √2 ka image unique aur real number hoga jise ye one one function ho

richarani
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Sir you are best teacher, , God blesses us

prix
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Sir iske 2nd part ka NCERT justification to do pls !!

Mandeep_
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Sir if we put x=1/4 in f(x)=3-4x . Then we get 3 but 3 is range of 0 . Then how is possible. 2:15

maxislive
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Sir, agar bijective nhi h to justify nhi krna hota kya??

sunitatiwari
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Sir (ii) vale me justify ni karna hai kya...??

Shivam_pandit
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Sir yeh kese pta chlega kha pe f(x) =f(y) .x =y krna hai or kha pe domain unique Hai toh functions one one Hai yeh likhna Hai?

rajnisoni