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# Two quantities x and y are said to vary directly with each other if for some rational number k, xy = k. State whether the statement is true (T) or false (F)

**Solution:**

The statement is false(F).

When two quantities x and y vary directly with each other then symbolically it means:

x ∝ y

x = ky

Or

x/y = k

Where k is the proportionality constant

Therefore the given statement is false.

**✦ Try This:** Two quantities x and y are said to vary inversely with each other if for some rational number k, xy = k.

The statement is true (T).

When two quantities x and y vary directly with each other then symbolically it means:

x ∝ 1/y

x = k/y

xy = k

Where k is a positive constant.

Therefore the given statement is True(T).

**☛ Also Check: **NCERT Solutions for Class 8 Maths Chapter 13

**NCERT Exemplar Class 8 Maths Chapter 10 Problem 43**

## Two quantities x and y are said to vary directly with each other if for some rational number k, xy = k. State whether the statement is true (T) or false (F)

**Summary:**

Two quantities x and y are said to vary directly with each other if for some rational number k, xy = k- The statement is false(F).

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