Guest

I cudnt solve these Question ......can u help me out plzz:- Q.1 The Smallest Positive root of the equation tan(x) - x = 0, lies in :- a) (0,pi/2) b) (pi/2, pi) c) (pi, 3pi/2) d) (3pi/2, 2pi) Q.2 The number of roots of the equation x + 2tan (x) = pi/2 in the interval [0, 2pi] is a) 1 b)2 c)3 d) infinite Thanks!


I cudnt solve these Question ......can u help me out plzz:-


Q.1 The Smallest Positive root of the equation tan(x) - x = 0, lies in :-


a) (0,pi/2)


b) (pi/2, pi)


c) (pi, 3pi/2)


d) (3pi/2, 2pi)


 


Q.2 The number of roots of the equation x + 2tan (x) = pi/2 in the interval [0, 2pi] is


a) 1


b)2


c)3


d) infinite


 


Thanks!


Grade:11

3 Answers

AKASH GOYAL AskiitiansExpert-IITD
420 Points
13 years ago

Dear Ashray

See the pic for the solution

 

All the best.                                                           

AKASH GOYAL

AskiitiansExpert-IIT Delhi

 

Please feel free to post as many doubts on our discussion forum as you can. We are all IITians and here to help you in your IIT JEE preparation.

Win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.

Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar  respectively : Click here to download the toolbar..

 

 

 

795_23499_Photo-0158.jpg

Mir Noaman Ali IIT-Roorkee
57 Points
13 years ago

answer to first question = as they asked about smallest positive root so tan x cant be -ve as x is always + vs nd in 0 ,pi/2 tan x is always gr8 dan x ... but from pi to 3pi/2 tan x goes from 0 to infinity  so it will at some point of time in 3rd quadrant will be = x ......... alternative method is by drawing graphs u will easily get it ............................................................................. ANSWER TO 2ND QUESTION  2TANX = PI/2 - X ........... PI/2 - X IS A STRAIGHT LINE SO U CAN DRAW IT ND THEN 2 TAN X GRAPH PLEASE DRAW IT U CAN OBSERVE THAT THE GRAPHS INTERSECTS AT 3 POSITIONS ONE EACH IN FRST 2ND ND 4TH QUADRANTS .THANK YOU PLEASE APPROVE MY ANSWER IF U LIKE IT

Mayank Jain
37 Points
12 years ago

Thanks a lot !

Think You Can Provide A Better Answer ?

ASK QUESTION

Get your questions answered by the expert for free