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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Choose the correct alternative: If the lines 3x − 4y + 4 = 0 and 6x − 8y − 7 = 0 are tangents to a circle, then find the radius of the circle

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प्रश्न

Choose the correct alternative:

If the lines 3x − 4y + 4 = 0 and 6x − 8y − 7 = 0 are tangents to a circle, then find the radius of the circle

पर्याय

  • `3/4`

  • `4/3`

  • `1/4`

  • `7/4`

MCQ
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उत्तर

`3/4`

Explanation;


Tangents are parallel to each other.

∴ Perpendicular distance between tangents = diameter

∴ `|(4 - (-7/2))/sqrt(3^2 + (-4)^2)|` = 2r

∴ `(15/2)/5` = 2r

∴ r = `3/4`.

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पाठ 6: Circle - Miscellaneous Exercise 6 [पृष्ठ १३६]

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