AP EAMCET2012MathematicsDifferentiation
The coordinates of the point P on the curve x=a( + ), y=a(1- ) , where the tangent is inclined at an angle 4 to x -axis, are
Options
- A[a ( 4 -1 ), a ]
- B[a ( 2 +1 ), a ]
- C(a 2 , a )
- D(a, a)
Correct answer
B. [a ( 2 +1 ), a ]
Step-by-step solution
Given coordinate is x=a( + ), y=a(1- ) On differentiating w.r.t. x , we get aligned d x d & =a(1+ ), d y d =a(0+ ) d y d x & = d y / d d x / d = a a(1+ ) & = 2 2 2 2 ^2 2 = 2 aligned aligned & 4 = 2 ( d y d x = x ) & 4 = 2 & = 2 & aligned Coordinate of aligned & P [a ( 2 + 2 ), a (1- 2 ) ] = & P [a ( 2 +1 ), a ] aligned