Case Study : Q. 36 to 40 |
Naveeka everyday goes to swimming. One day, Naveeka noticed the water coming out of the pipes to fill the pool. |
She then told her brother that the shape of the path of the water falling is like that of a parabola and also that a parabola can be represented by a quadratic polynomial which has atmost two zeroes. |
Based on the given information, answer the following questions. |
A) 0
B) 1
C) 2
D) 3
Correct Answer: A
Solution :
We have, \[f(x)={{(x+2)}^{2}}+6\] |
\[={{x}^{2}}+4+4x+6\] |
\[={{x}^{2}}+4x+10\] |
i.e., it has no factorisation. |
\[\therefore \] No real value of x is possible i.e, no zero. |
So, option [a] is correct. |
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