question_answer

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

I. \[3{{x}^{2}}+21x+30=0\] II. \[6{{y}^{2}}+13y+5=0\] 

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: C

Solution :

I. \[3{{x}^{2}}+21x+30=0\] Step I. Step II.\[\frac{5}{1}\]                 \[\frac{2}{1}\] Step III. \[x=-\,5,\,\,-2\] II. Step I. Step II. \[\frac{10}{6}\]              \[\frac{3}{6}\] Step III. \[y=-\frac{5}{3},\,\,-\frac{1}{2}\] Hence \[x<7\]