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If x varies inversely as y, then x – 60 y 2 10 - Mathematics

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Question

If x varies inversely as y, then 

x 60
y 2 10
Fill in the Blanks

Solution

If x varies inversely as y, then 

x 300 60
y 2 10

Explanation:

If x varies inversely as y, then 

xy = k (constant)  ...(i)

If x = 60 and y = 10

∴ xy = 60 × 10 = 600

⇒ k = 600

When y = 2, then from equation (i), we have

x × 2 = k

⇒ 2x = 600

⇒ x = 300

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Chapter 10: Direct and Inverse Proportions - Exercise [Page 319]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 10 Direct and Inverse Proportions
Exercise | Q 26. | Page 319

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