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Differential Calculus

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3 Apr 2009 10:04:17 IST

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465

best questions ever......on functions

None

Letf(x) =min{ x-[x] , -x-[x]}, -2<=x<=2 ;

g(x)=|2-|x-2|| ,-2<=x<=2

and h(x)=|sin x|/sinx,-2<=x<=2

and x not = 0.

on the basis of above information....

1)the no. of solution of the eqn..x²+[f(x)]²=1 is....{-1<=x<=1}

a)0 b)2 c)4 d)6

2) the rabge of f(x) ...

a) [0,0.5] b) [0,1] c)[0,2] d)none of these.

3) the sum of all the roots of the eqn g(x)-h(x)=0 is..{-2<=x<=2}

a)+ve b) -ve c)0 d)none of these..

4) The set of values of a such that eqn f(x)-a=0

a) a belongs to (0,0.5)

b)a belongs [0,0.5)

c)a belongs [0,1]

d) a belongs (0,1)

5) the value of integration of f(x)dx..{with limit -2 to 2} is

a)0 b) 1 c) 2 d) 8

HELP ME!

RATES ASSURED!

GIVE SOLUTIONS OR HINTS!

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Comments (17)

pranav agrawal

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3 Apr 2009 10:07:45 IST

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is it the greatest integer function [f(x)] in question 1 ? ?

akhil

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3 Apr 2009 10:10:29 IST

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NO!!!!!!!!

pranav agrawal

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3 Apr 2009 10:44:21 IST

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Decoder

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3 Apr 2009 10:52:32 IST

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1) ...2...use graphs..2) [0,1/2]...3) +ve (1,1) actually...4) same like 2)....only for a=0.5...it will give 4 solutions...5) 1..... as area under f(x) on one period is 1/4....now it is swept over four periods ....(-2,2)

saharsha kumar keshkar

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3 Apr 2009 10:54:35 IST

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(2)

clearly the range is [0,1/2]

hence option (a) is correct....

pranav agrawal

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3 Apr 2009 11:01:53 IST

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will u pls plot the graph~~

saharsha kumar keshkar

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3 Apr 2009 11:03:48 IST

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pranav agrawal

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3 Apr 2009 11:05:20 IST

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i m asking of y=f(x)~

saharsha kumar keshkar

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3 Apr 2009 11:10:16 IST

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saharsha kumar keshkar

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3 Apr 2009 11:18:52 IST

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akshay A NEW BEGINNING...

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3 Apr 2009 11:19:34 IST

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here are my answers through graph..

1 b

2 a

3 a

4 b

5 b

plss tell me how to post the grpah...

saharsha kumar keshkar

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3 Apr 2009 11:32:40 IST

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saharsha kumar keshkar

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3 Apr 2009 11:34:02 IST

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hence my answers are......

not sure abt first question....

saharsha kumar keshkar

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3 Apr 2009 11:51:42 IST

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@ akshay i think ur 4th answer is wrong....

please check...i m also checking my answers...

akhil

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3 Apr 2009 12:40:49 IST

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rates to ALL who posted answers to my question....... ans given in my boofk are:

AGAIN THANKS TO PRANAV ,SAHARSHA,AKSHAY.......and every one

akhil

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3 Apr 2009 12:41:41 IST

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oh yes DECODER also...very much thanx to u....

radhika

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3 Apr 2009 19:03:21 IST

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good...questions...

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