If The The Pair Of Straight Lines Given By   forms An Equilateral Triangle With The Line ax + by + c = 0, Then (A + 3B)(3A + B) = 

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Question

 

If the The Pair of Straight Lines given by   forms an equilateral triangle with the line ax + by + c = 0, then (A + 3B)(3A + B) = 

Solution

Correct option is

 

Clearly, angle between the lines given by

  must be of 60o. Therefore,  

        

Testing

SIMILAR QUESTIONS

Q1

If the chord y = mx + 1 of the circle x2 + y2 = 1 subtends an angle of 45oat the major segment of the circle, then m =

Q2

 

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Q3

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Q4

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Q5

 

The value of λ for which the lines joining the point of intersection of curves C1 and C2 to the origin are equally inclined to the axis of X.  

        

     

Q6

If one of the lines given by the equation  coincide with one of those given by  and the other lines represented by them be perpendicular, then   

Q7

 

If the pair of lines  have exactly one line in common, then a =

Q8

If one of the given by , then cequals

Q9

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Q10

 

The area (in square units) of the quadrilateral formed by two pair of the lines