Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Can someone explain The equation of curves such that, subtangent at any point of it is same as abscissa is

The equation of curves such that, subtangent at any point of it is same as abscissa is

  • Option 1)

    y = cx^2

  • Option 2)

    y^2 = cx

  • Option 3)

    y =cx

  • Option 4)

    y =x + c

 

Answers (1)

best_answer

As we have learnt,

 

Subtangent -

Length = y_{o}\cot \alpha = y\frac{dx}{dy}

- wherein

 

 According to given condition -

y\frac{\mathrm{d} y}{\mathrm{d} x} = x \Rightarrow \frac{dy}{y} -\frac{dx}{x} = 0

On integrating, we get -

\ln y -\ln x = c\Rightarrow \ln \left(\frac{y}{x} \right ) = c \Rightarrow \frac{y}{x} = e^c \Rightarrow y =cx

 


Option 1)

y = cx^2

Option 2)

y^2 = cx

Option 3)

y =cx

Option 4)

y =x + c

Posted by

Himanshu

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main BTech CSE cut-offs for students of northeast, UTs drop in 2 years; over 2,000 seats reserved in NITs
anam-khan

BSEB Super 50 performed ‘brilliantly’ in JEE Main, 23 scored above 95 percentile: Bihar Board chairman
anam-khan

IIIT Allahabad cut-offs for BTech ECE, IT, IT-Business Informatics goes up in last 3 years; seat matrix

Latest Question