question_answer

Direction: In the question, two equations numbered I and II are given. You have to solve both the equations and mark the appropriate option. Give answer

(i) if\[x>y\]

(ii) if\[x\le y\]

(iii) if \[x<y\]

(iv) if\[x\ge y\]

(v) if\[x=y\]or relationship between\[x\]and\[y\]can't be established

I. \[2{{x}^{2}}-13x+21=0\]

II. \[{{y}^{2}}-5y+6=0\]

A)  if x>y            

B)  if x<y

C)  if x<y

D)       if x>y

E)  if x=y or relationship between x and y can't be established.

Correct Answer: D

Solution :

Step II. \[-\frac{7}{2}\]               \[-\frac{6}{2}\] Step III. \[x=\frac{7}{2},3\] Step II.    \[-\frac{3}{1}\]      \[-\frac{2}{1}\] Step III. \[y=3,2\] Hence \[x\ge y\]