Let \[N\] be the number of quadratic equations with coefficients from \[\{0,\,\,1,\,\,2,\,\,....,\,\,9\}\] such that zero is a solution of each equation. Then the value of \[N\] is:
A) infinite
B)\[{{2}^{9}}\]
C)\[90\]
D)\[900\]
Correct Answer:
C
Solution :
The required number of quadratic equations \[N=9\times 10=90\]