Question: Find the separate equations of straight lines represented by the following equation: 2x² - 7xy + 3y² = 0.


Solution:
Given

Single equation of pair of straight lines is
2x² - 7xy +3y² = 0

or, 2x² - (6 +1)xy + 3y² = 0

or, 2x² - 6xy - xy + 3y² = 0

or, 2x (x -3y) -y (x -3y) = 0

or, (2x - y)(x - 3y) = 0

Hence, the required separate equations of straight lines represented by the above equation is (2x - y = 0) and (x -3y = 0).


Related Notes and Solutions:

Here is the website link to all the important formulae of Coordinate Geometry of Class 10.

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