| Directions: Q. 11 to 15 |
| Nirahua's father gave him some money to buy papaya from the market at the rate of\[p\left( x \right)={{x}^{2}}-23x+120\]. Let \[\alpha ,\,\beta \] are the zeroes of \[p\left( x \right)\]. |
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| Based on the above information, answer the following questions. |
A) -8,-16
B) 8,16
C) 8,15
D) 4,9
Correct Answer: C
Solution :
| Given, \[{{x}^{2}}-23x+120=p\left( x \right)\] |
| Let \[\alpha ,\,\beta\] are the zeroes of \[p\left( x \right)\] |
| \[{{x}^{2}}-23x+120=0\] |
| \[\Rightarrow \,\,\,{{x}^{2}}-15x-8x+120=0\] |
| \[\Rightarrow \,x\left( x-15 \right)-8\left( x-15 \right)=0\] |
| \[\Rightarrow \,\,\,\left( x-8 \right)\left( x-15 \right)=0\] |
| \[\Rightarrow \,\,x=8,\,x=15\] |
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