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

I. $3 x^{2} + 3 x - 90 = 0$
II. $2 y^{2} - 5 y + 3 = 0$

if x > y

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if x < y

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if x

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if x

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if x = y or relationship between x and y cannot be determined

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Solution

The correct option is E if x = y or relationship between x and y cannot be determined
$3 x^{2} + 3 x - 90 = 0 \Rightarrow (3 x - 15) (x + 6) = 0 \Rightarrow x = 5, - 6 4 y^{2} - 10 y + 6 = 0 \Rightarrow (2 y - 3) (2 y - 2) = 0 \Rightarrow y = \frac{3}{2}, 1$
$∴$ The relationship between x and y cannot be established.

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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. 3x2+3x−90=0 II. 2y2−5y+3=0

The correct option is E if x = y or relationship between x and y cannot be determined3x2+3x−90=0⇒(3x−15)(x+6)=0⇒x=5,−64y2−10y+6=0⇒(2y−3)(2y−2)=0⇒y=32,1 ∴ The relationship between x and y cannot be established.

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

I. $3 x^{2} + 3 x - 90 = 0$
II. $2 y^{2} - 5 y + 3 = 0$