toughie

Let f (x) = (x2 -1)k where k belongs to N. The number of distinct real roots of equation f n (x) = 0 are 'm' (where f n (x) denotes the nth derivative of f (x)). If 'm' equals to 10 for exactly one value of 'n' , then k equals to
1. 8
2. 9
3. 10
4. 11

31 Answers

3
msp ·

let n be 1

and therefore f'(x)=k(x2-1)k-12x

has three real roots and we need 7 more roots to get the given condn and so the other roots shud be imaginary which can be possible if k=9

3
msp ·

can ne 1 explain me abt the method of finding repeated roots

3
msp ·

btw wat is T-20

1
MATRIX ·

hey evryone INDIA WON THE T-20

3
msp ·

@subash the graph for the function (x^2-1)^9

shud be like this

so the given function cant have more than two real roots therefore the qn is rong

11
Subash ·

some one try this

this one from Bmat

33
Abhishek Priyam ·

[3]

wo nahi.. ek stupid sa q post kiye the.. post karte sath samjh me a gaya.. so mita diye... but agar koi padh lliya hoga isliye... upar wala post kiye...

11
Subash ·

post ur method please abhishek

33
Abhishek Priyam ·

[3]

oh.. got it..

3
msp ·

i will do such assumptions in exams da.unfortunately it will get me +ive marks for a gr8er xtent

3
msp ·

no da we cant take it as one .

21
tapanmast Vora ·

sank... how can u take n = 1????????/

11
Subash ·

@tapan no ans is 9

3
msp ·

[11]

11
Subash ·

chek ur differenciation in f'x

3
msp ·

dont know whether it is a right approach

we will wait for mathematicians of targetiit

3
msp ·

is it derivative or anti derivative

11
Subash ·

yes rite method please

1
Akand ·

hehehe......sorry subbi and sanky..........

3
msp ·

k equals 9

3
msp ·

dont call him stupid da

becos he was miles higher than me

so if u call him stupid then

i am (very)milesstupid

1
Akand ·

ya better..............................

11
Subash ·

ive changed the question

1
Akand ·

ya sorry sanky......................i think its integration.........stupid subash tryin 2 confuse me hehehehehe

11
Subash ·

sry for the mistake question changed

it is (x2-1)k

1
Akand ·

u sure tht ques is rite??? coz f(x) can be diff only thrice......so fn is meaningless........n can be 1,2,3.......rite???
AM I WRONG??

3
msp ·

my dear akand .clearly the eqn is quadratic.its derivative cant have more than two roots but in the option it is given dat the roots are higher than two.

1
Akand ·

is tht k belongs to N???..................wel it has to be...hehe

3
msp ·

then
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1
Akand ·

hw can it be anti derivative sanky???

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