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If d(1),d(2),d(3) are the diameters of t...

If `d_(1),d_(2),d_(3)` are the diameters of three ex-circles of a triangle then `d_(2)d_(2)+d_(2)d_(3)+d_(3)d_(1)=`

A

`Delta^(2)`

B

`4s^(2)`

C

`4Delta^(2)`

D

`ab+bc+ca`

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-I) (Straight Objective Type Questions)
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  2. If the radius of the incircle of a triangle with its sides 5k, 6k and...

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  3. If d(1),d(2),d(3) are the diameters of three ex-circles of a triangle ...

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  4. If Delta ABC is right angled at A , then r2 + r3 is equal to

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  5. If in DeltaABC, r(3)=r(2)+ r(2), then angleA+angleB=

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  6. In Delta ABC, if r:R:r1=2:5:12, then A=

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  7. In DeltaABC, if r(1) lt r(2) lt r(3) then

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  8. In a triangle ABC, if (1)/(r(1)^(2))+(1)/(r(3)^(2))+(1)/(r^(2))=

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  9. If (r)/(r(2))=(r(1))/(r(3)) then

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  10. If the sides of the triangle are 13,14,15 then the radius of the incir...

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  11. In Delta ABC , with usual notation observe the two statements given ...

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  12. In DeltaABC if r(1)-r=r(2)+r(3) then

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  13. If a,b,c, are in A.P then r(1),r(2),r(3) are in

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  14. r+r(3)+r(1)-r(2)=

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  15. If the sides of a triangle ABC are 6,8,10 units, then the radius of it...

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  16. In triangle ABC, if r(1)=3, r(2)=10, r(3)=15 then R=

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  17. If the diameter of any excircle of a triangle is equal to its perimete...

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  18. In DeltABC, if sqrt(3)r+a= sqrt(3)r+b=s then the triangle is

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  19. In DeltaABC right angled at A cos^(-1)((R)/(r(1)+r(3))) is

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  20. If A, A(1),A(2),A(3) are areas of excircles and incircle of a triangle...

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