Question
If x= 1-t^ 2 1+t^ 2 and y= 2 t 1+t^ 2 , then d y d x is equal to :
BITSAT
Mathematics
Differentiation
2021
BITSAT 2021
BITSAT Mathematics Question (2021) — Solution
Options
- A. - y x
- B. y x
- C. - x y
- D. x y
Answer
C. - x y
Step-by-step solution
Let x= 1-t^ 2 1+t^ 2 and y= 2 t 1+t^ 2 Put t= , we get x= 1- ^ 2 1+ ^ 2 and y= 2 1+ ^ 2 x= 2 and y= 2 dx d =-2 2 and dy d =2 2 Now, dy dx = dy d d dx =- 2 2 =- x y
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