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If R(1) is the circumradius of the peda...

If `R_(1)` is the circumradius of the pedal triangle of a given triangle ABC, and `R_(2)` is the circumradius of the pedal triangle of the pedal triangle formed, and so on `R_(3), R_(4)`…… then the value of `sum_(i=1)^(infty) R_(i)`, where R (circumradius) of `Delta ABC` is 5 is

A

8

B

10

C

12

D

15

Text Solution

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The correct Answer is:
b
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AAKASH SERIES-PROPERTIES OF TRIANGLES-LECTURE SHEET EXERCISE - IV (Straight Objective Type Question)
  1. If the line joining the circumcentre 'O' and the incentre I is paralle...

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  2. Let f, g and h be the lengths of the perpendiculars from the circumcen...

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  3. If R(1) is the circumradius of the pedal triangle of a given triangle...

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  4. If the circum circle and nine pointcircle intersect such that the comm...

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  5. Let H be the ortho centre of Delta^("le") ABC, then angle subtended b...

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  6. If the incircle of a triangle ABC passes through the circum centre the...

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  7. The Incircle of a Delta^("le") ABC touches BC at P, AC at Q and AB at...

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  8. If length of the side BC of a Delta ABC is 4cm and angle BAC = 120^(@...

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  9. Let ABC be triangle having o and I as its circumcenter and incentre, r...

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  10. The sum of inradius and circumradius of incircle and circumcircle of a...

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  11. Suppose a, b, g and d are the interior angles of regular pentagon, he...

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  12. A polygon of nine sides, each side of length 2, is inscribed in a circ...

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  13. Let A(1), A(2), …… A(n) be the vertices of an n-sided regular polygon ...

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  14. A regular pentagon and regular decagon have the same perimeter then t...

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  15. A piece of paper is in the shape of a square of side 1 m long. It is c...

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  16. If I(n) is the area of n-sided regular polygon inscribed in a circle ...

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  17. The alternate vertices of a regular hexagon are joined to form another...

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  18. In Delta^("le") ABC , if b lt c sin B then number of triangles can be ...

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  19. In Delta^("le") ABC , if a,b and A are given then there are two triang...

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  20. In Delta^("le") ABC , if a , b and A are given then there are two tri...

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