JEE Main2009MathematicsApplication of DerivativesActual
The shortest distance between the line y - x =1 and the curve x = y ^2 is
Options
- A3 2 8
- B2 3 8
- C3 2 5
- D3 4
Correct answer
A. 3 2 8
Step-by-step solution
aligned & x-y+1=0 & x=y^2 & 1=2 y d y d x d y d x = 1 2 y = Slope of given line (1) & 1 2 y =1 y= 1 2 y= 1 2 x= ( 1 2 )^2= 1 4 (x, y)= ( 1 4 , 1 2 ) aligned The shortest distance is | 1 4 - 1 2 +1 | 1+1 = 3 4 2 = 3 2 8 Directions: Question number 86 to 90 are Assertion - Reason type questions. Each of these questions contains two statements Statement-1 (Assertion) and Statement-2 (Reason). Each of these questions also have four alternative choices, only one of which is the correct answer. You have to select the cor