99 Percentile Qs Bank for JEE MainMathematicsHyperbola
If equation (a x^2+2 h x y+b y^2+2 g x+2 f y+c=0 ) represents a rectangular hyperbola, then
Options
- A( 0, ~h ^2< ab , a + b 0 )
- B( 0, h ^2> ab , a + b =0 )
- C( 0, h ^2= ab , a + b =0 )
- D( 0, ~h ^2< ab , a + b =0 )
Correct answer
B. ( 0, h ^2> ab , a + b =0 )
Step-by-step solution
It is fundamental concept that for equation (a x^2+2 h x y+b y^2+2 g x+2 f y+c=0 ) to represents a rectangular hyperbola it has to satisfy following condition, ( = abc +2 fgh - af ^2- bg ^2- ch ^2 0, h ^2> ab ) and ( a + b =0 )