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If a right angled Delta ABC of maximum ...

If a right angled `Delta ABC` of maximum area is inscribed within a circle of radius R. then (`Delta ` represents area of triangle ABC and `r, r_(1), r_(2), r_(3)` represent inradius and exradii, and s is the semi perimeter of then

A

`Delta = R^(2)`

B

`1/r_(1) + 1/r_(2) + 1/r_(3) = (sqrt 2 + 1)/R `

C

`r = (sqrt 2 - 1)R`

D

`s = (1 + sqrt2) R`

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A, B, C, D
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AAKASH SERIES-PROPERTIES OF TRIANGLES-LECTURE SHEET EXERCISE - III (Straight Objective Type Question)
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  3. If the bisector of the angle lfloor C of a triangle ABC cuts AB in D ...

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  4. Let ABC be an isosceles triangle with base BC. If 'r' is the radius o...

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  6. P is a point inside a Delta ABC of area K (K gt 0). The lengths of pe...

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  8. Internal bisector of an angle angle A of triangle ABC meets side BC a...

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  9. In Delta ABC , internal angle bisector of angle A meets side BC in D. ...

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  10. Match the following

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  11. Match the following

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  12. Consider a triangle ABC, where x, y, z are the length of perpendicular...

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  13. Consider a triangle ABC, where x, y, z are the length of perpendicular...

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  14. Consider a triangle ABC, where x, y, z are the length of perpendicular...

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  15. The sides of a Delta^("le") ABC " are " a = 4, b = 5, c = 6 The leng...

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  16. The sides of a Delta^("le") ABC " are " a = 4, b = 5, c = 6 The leng...

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  17. The sides of a Delta^("le") ABC " are " a = 4, b = 5, c = 6 The leng...

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  18. The sides of a Delta ^("le') ABC be 8, 7, 6 and smallest angle is C t...

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  19. The sides of a Delta ^("le') ABC be 8, 7, 6 and smallest angle is C t...

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  20. The sides of a Delta ^("le') ABC be 8, 7, 6 and smallest angle is C t...

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