Directions (42-46) : In each question two equations numbered (I) and (II) are given. You have to solve both the equations and mark appropriate answer.
2x2+7x-60=0
3y2-20y+64=0
Correct Answer :
If x<=y
Solution :
The correct option is If x<=y.
Step 1: Solve Equation (I)
Given equation (I):
Factorizing by splitting the middle term:
Therefore, the values of are:
and
Step 2: Solve Equation (II)
Given equation (II):
Finding the roots for gives values where each root of is greater than or equal to the roots of .
Step 3: Compare values of and
Comparing the values of and , we establish that:
Hence, the relation between and is If x<=y.
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