small doubt for JEE

if we get in exams a question involving rectangular hyperbola..........which form should we use?????
x2-y2=a2 or xy=c2

though calculation is easier using 2nd equation.......but still had a doubt that would the answeer change if we would use other form [7][7][7]

12 Answers

62
Lokesh Verma ·

if there is any proof use the 2nd one

if a question is given where a vlue is needed in length use whichever seems easier

if you have to find the coordinate of a point the form will be given already .. so dont worry much :)

11
Mani Pal Singh ·

STANDARD EQUATION OF HYPERBOLA
IS

X2/A2-Y2/B2=1

AND RECTANGULAR HYPERBOLA IS

X2-Y2=A2

BUT IN CASE IT IS STANDARD WE USE

XY=C2

24
eureka123 ·

okz........but my main doubt still isnt solved............
does answer depend on which form we use????????

24
eureka123 ·

mani ye sab kya bataa raha hai????????mujhe ye sab pataa hai .......agle sunday paper hai..kyun mazaak kar raha hai?????/mere doubt ka jawaab de....

11
Mani Pal Singh ·

READ THE LAST LINES

BUT IN CASE IT IS STANDARD WE USE

XY=C2

13
Двҥїяuρ now in medical c ·

u can use either for easier calculation...

21
tapanmast Vora ·

aNO

62
Lokesh Verma ·

no it does not..

the question will never be so unclear.. .

The fact is both are equally admissible..

if it is not given and you have to find some coordinate then take one form and find the answer and if it matches tick it..

otherwise try the other form

but rest assured nothing of this type will ever happen

24
eureka123 ·

aNO????? whats this??

24
eureka123 ·

i was wooried becoz it is options game........options have to match.........

so if my answer doesnt match then i transform the eqn by rotating the axis????????

62
Lokesh Verma ·

yeah it will never happen eureka..

they also understand that much...

any one setting the paper will have that much minimum brains :)

24
eureka123 ·

okz.......thanx sorry........

sorry if it was a silly doubt......but it was troubling me for some time.....[1][1]

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