I- 88 X 2-19 X -1-0II- 132 Y 2-23 Y -1-0A- X - YB- X - YC- X-YD- X - YE- Relationship between X and Y cannot be established

The correct option is A X ≥ YEquation I 88X^2 19X+1=0 ⇒ 88X^2 11X 8X+1=0 ⇒ 11X(8X 1) 1(8X 1)=0 ⇒ (11X 1)(8X 1)=0 ∴ X=1/8, X=1/11 Equation II 132Y^2 23Y+1=0 ⇒ 1 ...

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Byju's Answer

Standard XII

Mathematics

Derivative of Standard Functions

I. 88 X 2-19 ...

Question

$I . 88 X^{2} - 19 X + 1 = 0$
$I I . 132 Y^{2} - 23 Y + 1 = 0$

X \geq Y

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X > Y

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X \leq Y

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X < Y

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Relationship between X and Y cannot be established

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Solution

The correct option is A $X \geq Y$
Equation I
$88 X^{2} - 19 X + 1 = 0$
$\Rightarrow 88 X^{2} - 11 X - 8 X + 1 = 0$
$\Rightarrow 11 X (8 X - 1) - 1 (8 X - 1) = 0$
$\Rightarrow (11 X - 1) (8 X - 1) = 0$
$∴ X = \frac{1}{8}, X = \frac{1}{11}$
Equation II
$132 Y^{2} - 23 Y + 1 = 0$
$\Rightarrow 132 Y^{2} - 12 Y - 11 Y + 1 = 0$
$\Rightarrow 12 Y (11 Y - 1) - 1 (11 Y - 1) = 0$
$\Rightarrow (12 Y - 1) (11 Y - 1) = 0$
$∴ Y = \frac{1}{12}, \frac{1}{11}$
Hence, $X \geq Y$

Suggest Corrections

I. 88X2−19X+1=0 II. 132Y2−23Y+1=0

The correct option is A X≥YEquation I 88X2−19X+1=0 ⇒88X2−11X−8X+1=0 ⇒11X(8X−1)−1(8X−1)=0 ⇒(11X−1)(8X−1)=0 ∴X=18,X=111 Equation II 132Y2−23Y+1=0 ⇒132Y2−12Y−11Y+1=0 ⇒12Y(11Y−1)−1(11Y−1)=0 ⇒(12Y−1)(11Y−1)=0 ∴Y=112,111 Hence,X≥Y

$I . 88 X^{2} - 19 X + 1 = 0$
$I I . 132 Y^{2} - 23 Y + 1 = 0$