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MHT-CET : Mathematics Entrance Exam

MHT - CET : Mathematics - Pairs of Lines Formulae Page 1

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 1. General equation of a pair of straight lines passing through the origin

 

ax2 + 2hxy + by2 = 0

 

 2. General equation of a pair of straight lines

 

ax2 + 2hxy + by2 + 2gx + 2fy + c = 0.

 

 3. Angle between a pair of straight lines passing through the origin

 

Acute angle between lines

tan q =

|

2

|

a + b

 

 4. Condition for the equation ax2 + 2hxy + by2 + 2gx + 2fy + c = 0 to represent a pair of lines

 

 

a

h

g

h

b

f

g

f

c

= 0

 

 

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