16-01-09 Hyperbola "Find the fallacy"

Equation of a parabola is

x2-y2=100

Find the nearest point on this hyperbola to the line

y+3x+1=0

you first solve this .. then i will tell the fallacy!

14 Answers

11
Subash ·

is the line y=3x+1

or y+3x+1=0

62
Lokesh Verma ·

corrected it subash :)

33
Abhishek Priyam ·

[1]

No common normal here...

therefore by the method of "all questions given now are solvable" and "in exams there is time limit"...

I think answer will be ...
shortest distance is distance between (-10,0) and foot of perpendicular from it on line which is same as distance between (10,0) and foot of perpendicular on line..

9
Celestine preetham ·

-30/2√2 ,10/2√2

9
Celestine preetham ·

whats the fallacy ??

62
Lokesh Verma ·

what can i do if people are as smart as u are celestine...

U killed my fallacy ;) :P

9
Celestine preetham ·

abishek can u be more elaborate on ur method i cudnt understand that pls explain ;)
method of "all questions given now are solvable" and "in exams there is time limit"...

9
Celestine preetham ·

but then wat fallacy is there to kill , i thouht it was straightforward

62
Lokesh Verma ·

basically FIITJEE had solved this question incorrectly

and I could see why they had done that....

They found out wrong theta.. (a sec theta, b tan theta)

So they got a wrong answer...

Basically their answer was in the 4th Quadrant! which many ppl wud get!

62
Lokesh Verma ·

not this same question.. but a different data...

9
Celestine preetham ·

yes i had to consider only one theta other one will give local minima but not global minima ;)

13
deepanshu001 agarwal ·

can u plzz help me wid dis 1.... celestine

1
°ღ•๓яυΠ·

btw nsihu bhaiya aapne upar parabola likha hai :P

11
Mani Pal Singh ·

PARDON HIM[1]

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