In the following question, two equations numbered I and II are given. Solve both the equations and mark the appropriate option:

I. $x^{2} - 19 x + 84 = 0$
II. $y^{2} - 25 y + 156 = 0$

if x

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if x > y

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if x

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if x < y

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if x = y or no relation can be established between x and y

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Solution

The correct option is C if x y
$I . x^{2} - 19 x + 84 = 0 \Rightarrow x^{2} - 12 x - 7 x + 84 = 0 \Rightarrow x (x - 12) - 7 (x - 12) = 0 \Rightarrow (x - 7) (x - 12) = 0 S o, x = 7 o r x = 12$

$I I . y^{2} - 25 y + 156 = 0 \Rightarrow y^{2} - 12 y - 13 y + 156 = 0 \Rightarrow y (y - 12) - 13 (y - 12) = 0 \Rightarrow (y - 13) (y - 12) = 0 S o, y = 12 o r 13$

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In the following question, two equations numbered I and II are given. Solve both the equations and mark the appropriate option: I.x2−19x+84=0 II. y2−25y+156=0

The correct option is C if x yI. x2−19x+84=0⇒x2−12x−7x+84=0⇒x(x−12)−7(x−12)=0⇒(x−7)(x−12)=0So, x=7 or x=12 II. y2−25y+156=0⇒y2−12y−13y+156=0⇒y(y−12)−13(y−12)=0⇒(y−13)(y−12)=0So, y=12 or 13

In the following question, two equations numbered I and II are given. Solve both the equations and mark the appropriate option:

I. $x^{2} - 19 x + 84 = 0$
II. $y^{2} - 25 y + 156 = 0$