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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

If a,b,c Are Position Vectors of the Points A, B, C Respectively Such that 3a+ 5b-8c = 0, Find The Ratio in Which a Divides Bc.

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प्रश्न

If `bara, barb, barc` are position vectors of the points A, B, C respectively such that `3bara+ 5barb-8barc = 0`, find the ratio in which A divides BC.

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उत्तर

Given : `3bara+ 5barb-8barc = 0` 

`3bara=8barc- 5barb `

`bara=(8barc- 5barb)/3 ` 

`bara=(8barc- 5barb)/(8-5) `                                 `[∵3=8-5]`

`A(bara)` divides BC externally in the ratio 8 : 5.

 

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2016-2017 (July)

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