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prove that the equation (a+2h+b)x^2 - 2(a-b)xy +(a-2h+b)y^2=0 represents a pair of straight lines each inclined at an angle 45° to one or other of the line ax^2+2hxy+by^2=0

prove that the equation (a+2h+b)x^2 - 2(a-b)xy +(a-2h+b)y^2=0 represents a pair of straight lines each inclined at an angle 45° to one or other of the line ax^2+2hxy+by^2=0

Grade:12

1 Answers

tej
14 Points
6 years ago
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