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CBSE Class 11-science Maths Hyperbola

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Multiple Choice Questions

Subjective Questions

Practice Test

10. A normal is drawn to the hyperbola x^2 / a^2 - y^2 / b^2 = 1 at P which meets the transverse axis at G . If perpendicular from G on the asymptote meets it at L , show that LP is parallel to the conjugate axis.
$F i n d space t h e space t r a n s v e r s e space a x i s comma space t h e space c e n t e r comma space t h e space f o c i space a n d space t h e space v e r t i c e s space o f space t h e space h y p e r b o l a w h o s e space e q u a t i o n space i s space x squared over 4 minus y squared over 9 equals 1$ Please provide solution to this question Please provide solution to this question
$F i n d space t h e space t r a n s v e r s e space a x i s comma space t h e space c e n t e r comma f o c i i space a n d space t h e space v e r t i c e s space o f space t h e space h y p e r b o l a 16 y squared minus x squared equals 16$ Please provide solution to this question Please provide solution to this question
$F i n d space t h e space e q u a t i o n space o f space t h e space h y p e r b o l a space t h a t space h a s space t h e space Y minus a x i s space a s space t h e space t r a n s v e r s e space a x i s c e n t e r space a t space o r i g i n space a n d space p a s s e s space t h r o u g h space t h e space p o i n t s left parenthesis 0 comma 5 right parenthesis space a n d space left parenthesis 2 comma 5 square root of 2 right parenthesis$ Please provide solution to this question Please provide solution to this question
$F i n d space t h e space e q u a t i o n space o f space t h e space h y p e r b o l a space w i t h space v e r t i c e s space open parentheses 0 comma plus-or-minus 3 close parentheses space a n d space h a s space a space f o c u s space a t left parenthesis 0 comma 5 right parenthesis.$ Please provide solution to this question Please provide solution to this question
$F i n d space t h e space a s y m p t o t e s space o f space t h e space h y p e r b o l a space x squared over 4 minus y squared over 36 equals 1$ Please provide solution to this question Please provide solution to this question
$F i n d space t h e space a s y m p t o t e s space o f space t h e space h y p e r b o l a space y squared over 49 minus x squared equals 1$ Please provide solution to this question Please provide solution to this question
$F i n d space t h e space e q u a t i o n space o f space t h e space h y p e r b o l a space w i t h space a s y m p t o t e s space y equals plus-or-minus x space a n d space f o c i space a t space open parentheses plus-or-minus 2 comma 0 right parenthesis close parentheses$ Please provide solution to this question Please provide solution to this question
$F i n d space t h e space e q u a t i o n space o f space t h e space h y p e r b o l a space w i t h space X minus a x i s space a s space t h e space t r a n s v e r e space a x i s space c e n t e r e d space a t space o r i g i n comma space p o i n t space left parenthesis 3 comma 1 right parenthesis l i e s space o n space t h e space h y p e r b o l a space a n d space left parenthesis 4 comma 2 right parenthesis space l i e s space o n space t h e space a s y m p t o t e space o f space t h i s space h y p e r b o l a$ Please provide solution to this question Please provide solution to this question
$F i n d space t h e space e q u a t i o n space o f space t h e space r e c tan g u l a r space h y p e r b o l a space w i t h space f o c a l space l e n g t h space 8 square root of 2$ Please provide solution to this question Please provide solution to this question

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