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

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 `underset( i=1)overset(oo)sum R_(i)`, where R (circumradius) of `DeltaABC` 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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ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Single Option Correct Type Questions)
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  2. In a triangle a = sqrt5,b = 2, /A=pi/6 and the two possible values of...

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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 in a triangle (1-(r(1))/(r (2)))(1-(r(1))/(r (3)))=2. then show tha...

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  5. If the median AD of a triangle ABC makes an angle theta with side, AB,...

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  6. Differentiate the following w.r.t x (sinx-cosx)^(sinx-cosx)

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  7. In a Delta ABC, (a+b+c) (b+c-a)=lamdabc, if

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  8. In the DeltaABC, if (a ^(2) +b^(2))sin (A-B) =(a^(2) -b^(2)) sin (A+B...

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  9. Differentiate the following w.r.t x (5x)^(3cos2x)

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  10. If a, b,c be the sides of a triangle ABC and if roots of equation a(b-...

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  11. The ratio of the area of a regular polygon of n sides inscribed in a c...

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  12. In any triangle ABC sum (sin^2A+sinA+1)/sinA is always greater than or...

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  13. If the incircel of the triangle ABC, through it's circumcentre, then t...

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  14. The perimeter of a triangle ABC is six times the arithmetic mean of ...

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  15. If there are only two linear functions f and g which map [1,2] on [4,6...

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  16. A circle is inscribed in an equilateral triangle of side adot The area...

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  17. In any triangle ABC, if sin A , sin B, sin C are in AP, then the maxim...

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  18. In a DeltaABC, 2 cos A=(sin B)/(sin C) and 2 ^(tan^(2)B) is a solution...

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  19. Differentiate the following w.r.t x sin^(-1)(x^(3/2))

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  20. If a,b and c arethe sides of a traiangle such that b.c =lamda ^(2), th...

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