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  • Confused! kindly explain, - Limit , continuity and differentiability - JEE Main-13

Length of subnormal drawn at (2, 4) on the curve y^2 = 8x equals

  • Option 1)

    3

  • Option 2)

    2

  • Option 3)

    4

  • Option 4)

    5

 

Answers (1)

best_answer

As we have learned

 

Length of sub Normal -

L_{SN}=yy'

- wherein

 

Where \;\:y'=\frac{dy}{dx}

 

 Length of subnormal =yy' .. at .. (2,4)

y^{2}= 8x\Rightarrow 2yy'= 8\Rightarrow y'= \frac{4}{y}\Rightarrow y' .. at..(2,4)= 1

Length of subnormal = 4*1=4

 

 

 

 


Option 1)

3

Option 2)

2

Option 3)

4

Option 4)

5

Posted by

Himanshu

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