If and
have two common roots then
equals
Multiplying by x both sides
Multiplying by a both sides
(1) - (2) we get
This will also have both roots common with given two equations, so we can say
&
have both roots common, so
Option (D)
Nature of Common roots -
If and
are two polynomial equations with same common root then any third polynomial equation obtained with algebra of first two will also have those common roots.
-
Option 1)
This is incorrect
Option 2)
This is incorrect
Option 3)
This is incorrect
Option 4)
This is correct
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