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Product of slopes = -1 When two lines are perpendicular.
ax² + bx + c = 0
it's slope is -a/b
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Exp:-
2x - 3y - 5 = 0
it's slope is 2/3
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( 3 , -4 ) ( Alfa, beta )
it's slope is ( beta + 4 ) / ( Alfa -3 )
(2/3) × ( beta + 4 ) /( Alfa - 3 ) = -1
( beta + 4 )/ ( Alfa - 3 ) = -3/2
Alfa + beta = (1- Alfa) / 2
Product of slopes = -1 When two lines are perpendicular.
ax² + bx + c = 0
it's slope is -a/b
_______________________________
Exp:-
2x - 3y - 5 = 0
it's slope is 2/3
_______________________________
( 3 , -4 ) ( Alfa, beta )
it's slope is ( beta + 4 ) / ( Alfa -3 )
(2/3) × ( beta + 4 ) /( Alfa - 3 ) = -1
( beta + 4 )/ ( Alfa - 3 ) = -3/2
Alfa + beta = (1- Alfa) / 2
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