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Q.

Is it true that every quadratic equation has exactly one root?


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a

True

b

False 

answer is B.

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Detailed Solution

Given statement is that every quadratic equation has exactly one root.
We know that a quadratic equation can have 0, 1 or 2 roots at a time.
Thus, the minimum number of roots of a quadratic equation is 0.
The quadratic equation, x 2 −9=0   has two distinct roots –3 and 3.
Thus, a quadratic equation can have two roots.
Also, the quadratic equation x 2 −4x+4=0   has only one root which is 2.
That is for some quadratic equations, there is only one real root.
And for the quadratic equation, x 2 +4x+10=0   there are no real roots.
So, the given statement is false.
The correct statement is, every quadratic equation can have 0, 1 or 2 roots at a time.
Hence, the correct option is 2
 
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