1 - - 2 x - 2-13 x-21-011II -5 y-2-22 y-21-01

The correct option is D x ≥ yEquation I 2x^2 13x+21=0 2x^2 6x 7x+21=0 2x(x 3) 7(x 3)=0 (x 3)(2x 7)=0 x=3,x=7/2 Equation II 5y^2 22y+21=0 5y^2 15y 7y+21=0 5y(y ...

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Byju's Answer

Standard XII

Mathematics

Derivative of Standard Functions

1 . ∼ 2 x ∧ 2...

Question

$I . 2 x^{2} - 13 x + 21 = 0 I I . 5 y^{2} - 22 y + 21 = 0$

x < y

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x > y

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x \geq y

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x \leq y

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Relationship between x and y cannot be established

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Solution

The correct option is C $x \geq y$
Equation I
$2 x^{2} - 13 x + 21 = 0$
$2 x^{2} - 6 x - 7 x + 21 = 0$
$2 x (x - 3) - 7 (x - 3) = 0$
$(x - 3) (2 x - 7) = 0$
$x = 3, x = \frac{7}{2}$
Equation II
$5 y^{2} - 22 y + 21 = 0$
$5 y^{2} - 15 y - 7 y + 21 = 0$
$5 y (y - 3) - 7 (y - 3) = 0$
$∴ y = 3, y = \frac{7}{5}$
Hence, $x \leq y$

Suggest Corrections

I. 2x2−13x+21=0II. 5y2−22y+21=0

The correct option is C x≥yEquation I 2x2−13x+21=0 2x2−6x−7x+21=0 2x(x−3)−7(x−3)=0 (x−3)(2x−7)=0 x=3,x=72 Equation II 5y2−22y+21=0 5y2−15y−7y+21=0 5y(y−3)−7(y−3)=0 ∴y=3,y=75 Hence, x≤y

$I . 2 x^{2} - 13 x + 21 = 0 I I . 5 y^{2} - 22 y + 21 = 0$