Official Quant thread for CAT 2013

@bullseyes said:
eqn of ellipse has RHS to be 1
=1 ...equation of ellipse
>1 exterior na??
..In question equation its coming out to be

Anybody share approach, discussion to chalta rahega, i dont even know how to consolidate this equation in any form (only circle but this is not a circle) :banghead:

@pankaj1988 said:
is it interior of ellipse?
@ScareCrow28 said:
=1 ...equation of ellipse
>1 exterior na??
@rkshtsurana said:
@techsurge said:
Anybody share approach, discussion to chalta rahega, i dont even know how to consolidate this equation in any form (only circle but this is not a circle)
16x^2 - 64x + 9y^2 + 54y
16(x-2)^2 + 9(y+3)^2
=> (x-2)^2/3^2 + (y+3)^2/4^2
Ellipse equation: x^2/a^2 + y^2/b^2 = 1
@ScareCrow28 said:
=1 ...equation of ellipse >1 exterior na??..In question equation its coming out to be
if it is not 1 u have to make it 1.. that's the difference b/w ellipse and circle.
@techsurge said:
Anybody share approach, discussion to chalta rahega, i dont even know how to consolidate this equation in any form (only circle but this is not a circle)
bhai chk this linkhttp://en.wikipedia.org/wiki/Eccentricity_(mathematics)...there is standard eq. of conic....I just calculated eccentricity which was
so eq was ellipse...
now in RHS
@freedom_fighter said:
pls help in solving this ques in the attachment...
radius of circle=13
length of chord=25
perpendicular distance of chord from center =sqrt(13^2-12.5^2)=sqrt(51/4)
distance at which pt M cuts taken from center of chord=sqrt(5^2-51/4)=7/4
one length of chord= 12.5- 7/4 =9
other length of chord=25-9=16

For which value of x is |3x+4|=2+4x


please post the solution
@padmanabhan1989 2??
@mailtoankit said:
@padmanabhan1989 2??
yes boss. but how.? Can u explain
@padmanabhan1989 said:
For which value of x is |3x+4|=2+4xplease post the solution
LHS is non negative so

4x+2 > 0
x > -1/2

for x > 0

3x+4 = 2+4x

x = 2


for -1/2

4 - 3x = 4x+2

7x = 2
x = 2/7
but here x comes positive , so wrong assumption and no solution


so x = 2 only
@padmanabhan1989 said:
For which value of x is |3x+4|=2+4xplease post the solution
Case 1: x>-4/3
3x+4=2+4x
x=2( which satisfies inequality x>-4/3 , hence is a solution)
Case 2: x
-3x-4=2+4x
x=-6/7(this does not satisfy the inequality x

so only one solution i.e. x=2




@pankaj1988 said:
Case 1: x>-4/33x+4=2+4xx=2( which satisfies inequality x>-4/3 , hence is a solution)Case 2: x-3x-4=2+4xx=-6/7(this does not satisfy the inequality xso only one solution i.e. x=2
Thanks brother.. Got it..
@culdip said:
LHS is non negative so 4x+2 > 0x > -1/2for x > 03x+4 = 2+4xx = 2for -1/2 4 - 3x = 4x+27x = 2x = 2/7 but here x comes positive , so wrong assumption and no solutionso x = 2 only
Thanks boss
@chandrakant.k yaaar how did u guys solve this by options... whats the approach heere.. :(
@gupanki2 said:
@chandrakant.k yaaar how did u guys solve this by options... whats the approach heere..
i just opened the forum after a long time.. which question are you asking???
Dear puys !!! This is a humble request 2 all u guys ..... here is my problem !!!I hav enrolled wid TIME and I have solve all the quant basic questions, thoroughly bt wen I see the q's in mock cats as well as 4m this thread I experienced a bit high level q's
4m which I have studied , so guys suggest me 2
How 2 increase my Quant level or
which materials i hav 2 study in apart 4m TIME materials 2 raise quant level
which works 4 u also ????
plzzz guys suggest me i m in a dilemma wat 2 study & wat n8 !!!
Thanx in advance...

Plzzz also explain ur approach & wat u all did in preparin 4 quant section !!!
Plzzz suggest some materials also 2 raise quant upto a fair level !!!


@arunrajput1007 said:
Plzzz also explain ur approach & wat u all did in preparin 4 quant section !!!Plzzz suggest some materials also 2 raise quant upto a fair level !!!
Ur reply can change my lyff !!!

@arunrajput1007 said:
Plzzz also explain ur approach & wat u all did in preparin 4 quant section !!!Plzzz suggest some materials also 2 raise quant upto a fair level !!!
I'm preparing for the first time, have gone through arun sharma once. I found this group useful, trying different types of questions will give you exposure. Try to learn from every question posted. Here, guys are really very helpful. No idea about material. :)
Find the value of x satisfying
f(4+f(4-f(4+f(4-x)))) = x

Where f(x)=sqrt(x)