Comprehension

The asymptotes of a hyperbola are x^2+4xy+y^2-2x+2y-2=0 and the hyperbola passes through (1,1)

The centre of the hyperbola is?
The conjugate axis of the hyperbola is?
What is the eccentricity of the hyperbola?

6 Answers

11
Subash ·

centre (-1,3)

conjugate axis 2x+y+1=0 (incase it is wrong this x+2y-1=0)

eccentricity ????????

1
sparkle2009 ·

The options for the second question are

(a)x-y+2=0 (b)x=y (c)x+y=2 (d)x=-y

please provide the full solution

11
Subash ·

yeah second one wrong :(

for the first one partial differentiate the equation first wrtx and then
wrty

u get two equations

solve them to get centre

1
sparkle2009 ·

i worked out the 3rd question,

on transforming the axes,the equation becomes

\frac{x^2}{\frac{4}{3}}-\frac{(y-\sqrt{2})^2}{4}=1

whose e=2

please solve the second question

62
Lokesh Verma ·

you have found the hyperbola... in the standard form

then you can find the conjugate equation... then transform it back to the original form

btw this is not for jee syllabus..

i dont think you should study this if you are giving jeee this year..

If you have just got into xii you should solve it :)

1
sparkle2009 ·

yeah it worked :) thanks.

Your Answer

Close [X]