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  • Please,please help me Which of the following pairs may represent a combination oftangent and normal at a point (1, 2) ?

Which of the following pairs may represent a combination of tangent and normal at a point (1, 2) ?

  • Option 1)

    2x + 3y = 8, \;2x -y = 0

  • Option 2)

    2x-3y=-4,\;3x+2y = 7

  • Option 3)

    x +2y=5,\;2x+y=4

  • Option 4)

    3x + 4y = 11, \;4x+3y =10

 

Answers (1)

best_answer

As we have learnt, 

 

NORMAL -

The normal to the curve at any point  P on it is the straight line which passes through P and  is perpendicular to the tangent to the curve at P

- wherein

 

 Every pair intersect at (1,2) but B is the only pair where lines are perpendicular also, So B can only represent a pair of tangent and normal.

 


Option 1)

2x + 3y = 8, \;2x -y = 0

Option 2)

2x-3y=-4,\;3x+2y = 7

Option 3)

x +2y=5,\;2x+y=4

Option 4)

3x + 4y = 11, \;4x+3y =10

Posted by

Himanshu

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