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Question

# In the following question, two equations numbered I and II are given. Solve both the equations and mark the appropriate option: I.x2+20x+4=50–25x II.y2–10y–24=0

A
if x > y
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B
if x < y
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C
if x y
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D
if x ≤ y
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E
if x = y or definite relationship cannot be established between ‘x’ and ‘y’
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Solution

## The correct option is E if x = y or definite relationship cannot be established between ‘x’ and ‘y’I. x2+20x+4=50−25xx2+45x=46x2+45x=46x2+45x−46=0x(x+46)−1(x+46)=0(x−1)(x+46)=0→ x=1,−46II. y2+20x+4=50−25xy2−13y+2y−24=0y(y−1)+2(y−12)=0(y+2)(y−2)=0→ y=−2,12 Hence, definite relationship cannot be established between x and y.

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