KCET2015MathematicsHyperbola
If ( x=a ³ , y=a ³ ), then ( 1+ ( d y d x )² ) is
Options
- A( )
- B( ² )
- C( ² )
- D( 11 )
Correct answer
C. ( ² )
Step-by-step solution
Given that x=a ³ and y=a ³ Now, d x d =a (3 ² )(- ) and d y d =a (3 ² )( ) Thus, d y d x = d y d d d x = 3 a ² -3 a ² = - d y d x =- (1) So, 1+ ( d y d x )²=1+ (- ² )=1+ ² = ²