1.

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.I. (x + 6)[8 - (1/x)] = 0II. y2 + √576 = √10891. x > y2. x ≤ y3. x ≥ y4. x < y5. x = y or relationship between x and y can't be established

Answer» Correct Answer - Option 5 : x = y or relationship between x and y can't be established

I. (x + 6) [8 – (1/x)] = 0

⇒ (x + 6) [(8x – 1)/x]

⇒ (x + 6) (8x – 1) = 0

⇒ x = – 6, 1/8

II. y2 + √576 = √1089

⇒ y2 + 24 = 33

⇒ y2 = 9

⇒ y = 3, –3

Value of x

Value of y

Relation

-6

3

 x < y

-6

-3

 x < y

1/8

3

 x < y

1/8

-3

 x > y

 

∴ While comparing the values of x and y, both root values of y lie between the root values of x



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