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  2. Solve! - Limit , continuity and differentiability - JEE Main-17
# Engineering

Let a tangent to any curve at a point P on it cuts x-axis at N. If a & b are lenght of subtangent and subnormal then a + b equals ?

  • Option 1)

    PT + PN

  • Option 2)

    \sqrt{PT^2 + PN^2}

  • Option 3)

    PT\cdot PN

  • Option 4)

    \sqrt{PT\cdot PN}

 

Answers (1)
H Himanshu

As we have learned

Concept of sub Tangent and sub Normal -

When Tangent and Normal cuts the x-axis at a point and perpendicular from point of contact to x-axis.Then this is sub Normal & Tangent.From fig TS  and SN are known as sub tangent and sub normal.

- wherein

 

 

(a+b)^{2}= (PT)^{2}+(PN)^{2}

(a+b)= \sqrt{(PT)^{2}+(PN)^{2}}

  

 

 

 

 

 


Option 1)

PT + PN

Option 2)

\sqrt{PT^2 + PN^2}

Option 3)

PT\cdot PN

Option 4)

\sqrt{PT\cdot PN}

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