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In which of the following, limiting position of the second PQ exists as the point Q approaches the point P, so that tengent can exist at P?

 

  • Option 1)

  • Option 2)

  • Option 3)

  • Option 4)

 

Answers (1)

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As we learned

Tangent -

The tangent  t  a curve at a point P on it is defined as the limiting position of the secant PQ as the point Q approaches the point P provided such a limiting position exists.

- wherein

 

 

 

In (A), (C), (D) there is a corner at P in each case, so under limiting case there is no limiting position of secant PQ.

Only  (B) will give limiting position of second PQ.

 


Option 1)

Option 2)

Option 3)

Option 4)

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Himanshu

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