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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 - Mathematics and Statistics

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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

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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Different Forms of Equation of a Circle
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Circle - Miscellaneous Exercise 6 [पृष्ठ १३६]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board
पाठ 6 Circle
Miscellaneous Exercise 6 | Q I. (5) | पृष्ठ १३६

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