If The Pair Of Lines ax2 + 2hxy + by2 = 0 And a’x2 + 2h’xy + b’y2 = 0 Have One Line In Common, Then (ab’ – a’b)2 =

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Question

If the pair of lines ax2 + 2hxy + by2 = 0 and ax2 + 2hxy + by2 = 0 have one line in common, then (ab’ – ab)2 =

Solution

Correct option is

 

Let the equation of the common line be mx. Then, it must satisfy both the given equations.  

and, 

         

  

  

  

    

  

which is the required condition.

SIMILAR QUESTIONS

Q1

 

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Q6

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Q7

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Q9

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Q10

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