Joint variation
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This document discusses different types of joint variations between quantities. A joint variation occurs when more than two quantities vary together. The document provides examples of direct and inverse joint variations, explaining that if z varies directly as x and y, with k as a constant, then z = kxy. Similarly, if z varies inversely as x and directly as y, with k as a constant, then z = k/xy. Joint variations describe the mathematical relationships between three or more varying quantities.
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Joint variation
- 2. If there are more than two quantities in a variation then the variation is called a joint variation, and the quantities vary jointly Definition
- 3. If z varies directly as x and y and k is constant. Then we can say, Example:
- 4. For different values of x, y, and z
- 5. Therefore
- 6. And
- 7. If z varies directly as x and inversely as y and k is constant. Then we can say, Example:
- 8. If z varies inversely as x and inversely as y and k is constant. Then we can say, Example:
- 9. The end
- 10. Abu!!! Have you understood?