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The equation whose roots are radii of es...

The equation whose roots are radii of escribed circles is

A

`x^(3)-2x^(2)(r+R)+s^(2)x-s^(2)r=0`

B

`x^(3)-x^(2)(r+4R)+s^(2)x-s^(2)r=0`

C

`x^(3)-x^(2)(r+4R)+s^(2)+s^(2)x-Delta^(2)s=0`

D

`x^(3)-4Rx^(2)+s^(2)x-sr=0`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-PROPERTIES OF TRIANGLES-PRACTICE SHEET (EXERCISE-III) (LEVEL-II) (Straight Objective Type Questions)
  1. If the area of a triangle is 96 and the radii of the escribed circles ...

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  2. In Delta ABC, if r-1,R=4, Delta =8, then ab+bc+ca=

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  3. The equation whose roots are radii of escribed circles is

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  4. If r(1),r(3),r(1) are the radii of the escribed circles of a DeltaABC ...

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  5. In a DeltaABC, if r(1)=2r(2)=3r(3) then a:b=

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  6. In triangle ABC,(r(3)+r(1))sqrt([(rr(1))/(r(3)r(1))])=

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  7. In DeltaABC" prove that " (r(1))/(bc)+(r(2))/(ca)+(r(3))/(ab)=(1)/(r)-...

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  8. Assertion (A) : The radius of the circle inscribed in the triangle obt...

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  9. If r= 2, R = 6 for a right angled triangle then its area is

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  10. Let h(a),h(b) be the lengths of altitude from A and B respectively. If...

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  11. A triangle is inscribed in a circle. The vertices of the triangle divi...

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  12. In a triangle ABCk if 4 Rr "cos" (A)/(2)"cos"(B)/(2)"cos"(C)/(2)

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  13. In DeltaABC, 4R "sin"(A)/(2)"sin"(B)/(2)"sin"(C)/(2)=

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  14. ( a cos A + b cos B + c cos C )/( a +b +c ) =

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  15. r("cot"(A)/(2)"cot"(B)/(2)"cot"(C)/(2))=

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  16. In DeltaABC, if a=26, b=30 conc C=63//65 then r(1):r(2):r(3)=

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  17. In triangle ABC r=(R)/(6) and r(1)=7r. Then the mesaure of angle A=

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  18. In DeltaABC if C=90^(@), 1+sinA-sinB=

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  19. If 3R=4r, then cosA+cosB+cosC=

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  20. In triangle ABc, if A-B=120^(@) and R=8r where R r have their usual m...

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