+91-8076753736[email protected]
logo
logo
-->

Continuity And Differentiability

Question
CBSEENMA12036089
Wired Faculty App

The shortest distance between line y - x = 1 and curve x = y2 is

  • √3/4

  • 3√2 /8

  • 8/3√2

  • 4/√3

Solution

A.

√3/4

B.

3√2 /8

y - x = 1
y2 = x
2 straight y space dy over dx space equals space 1 dy over dx space equals space fraction numerator 1 over denominator 2 straight y end fraction space equals space 1 straight y space equals space 1 half straight x space equals space 1 fourth tangent space at space open parentheses 1 fourth comma 1 half close parentheses 1 half straight y space equals space 1 half open parentheses straight x space plus 1 fourth close parentheses straight y space equals space straight x space plus space 1 fourth distance space equals space open vertical bar fraction numerator 1 minus begin display style 1 fourth end style over denominator square root of 2 end fraction close vertical bar space equals space fraction numerator 3 over denominator 4 square root of 2 end fraction space equals space fraction numerator 3 square root of 2 over denominator 8 end fraction

Some More Questions From Continuity and Differentiability Chapter

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation