Directions: In each of the following questions two equations are given. You have to solve them and give answer. [SBI Associate (PO) 2007] |
I. \[12{{p}^{2}}-7p=-1\] |
II. \[6{{p}^{2}}-7q+2=0\] |
A) If \[p<q\]
B) If \[p>q\]
C) If\[p\le q\]
D) If \[p\ge q\]
E) If \[p=q\]
Correct Answer: A
Solution :
I. \[12{{p}^{2}}-7p+1=0\] |
\[\Rightarrow \]\[12{{p}^{2}}-4p-3p+1=0\] |
\[\Rightarrow \]\[4p\,(3p-1)-1\,(3p-1)=0\] |
\[\Rightarrow \] \[(4p-1)(3p-1)\]\[\Rightarrow \]\[p=\frac{1}{4},\]\[\frac{1}{3}\] |
II. \[6{{q}^{2}}-7q+2=0\] |
\[\Rightarrow \]\[6{{q}^{2}}-4q-3q+2=0\] |
\[\Rightarrow \]\[2q\,\,(3q-2)-1\,\,(3q-2)=0\] |
\[\Rightarrow \]\[(2q-1)(3q-2)=0\] |
\[\Rightarrow \] \[q=\frac{1}{2},\]\[\frac{2}{3}\] |
\[\therefore \]\[p<q\] |
You need to login to perform this action.
You will be redirected in
3 sec