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In DeltaABC, if a,b,c are in H.P then "S...

In `DeltaABC,` if `a,b,c` are in H.P then `"Sin"^(2)(A)/(2), "Sin"^(2)(B)/(2),"Sin"^(2)(C)/(2)` are in

A

A.P

B

G.P

C

H.P

D

A.G.P

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-PROPERTIES OF TRIANGLES-PRACTICE SHEET (EXERCISE-I) (LEVEL-I) (Straight- Objective Type Questions)
  1. If two angles of a DeltaABC are 45^(@) and 60^(@), then the ratio of t...

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  2. The angles of a triangle are in the ratio 3:5:10. Then the ratio of th...

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  3. In DeltaABC, if a,b,c are in H.P then "Sin"^(2)(A)/(2), "Sin"^(2)(B)/(...

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  4. In a triangle ABC if (cos A)/a=(cos B)/b= (cos C)/c, then Delta ABC is

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  5. If the angles of a triangle are in A.P., a=2 c= 4 , then b=

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  6. IF the angles of triangle are in the ratio 1:1:4 then the ratio of the...

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  7. The sides of a right angled trinagles are in A.P., then they are in th...

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  8. In DeltaABC if (b)/(c+a)+(c)/(a+b)=1 then

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  9. If C = 60 ^(@) then show that (b)/( c^(2) -a^(2)) + (a)/( c^(2) ...

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  10. The smallest angle of the triangle whose sides are 6+sqrt12,sqrt48,sqr...

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  11. The sides of a triangle are sin alpha,cos alpha and sqrt(1+sin alpha c...

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  12. Two sides of a triangle are given by the roots of the equation x^(2)-...

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  13. (a ) /( b^(2) - c^(2)) + ( c )/( b^(2) - a^(2)) = 0 then B =

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  14. If 7,4 sqrt(3), sqrt(13), are the sides of DeltaABC then least angle i...

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  15. In DeltaABC, c (a cosB-b cosA)=

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  16. If the angles of the DeltaABC are in A.P., then a^(2)+c^(2)-ac=

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  17. If a = 26, b = 30 , cos C = ( 63 )/( 65) then C=

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  18. Show that (cosA)/(a)+(cosB)/(b)+(cosC)/(c)=(a^(2)+b^(2)+c^(2))/(2abc)

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  19. In Delta ABC , if a( b cos C + c cos B ) = 2ka^(2) , then k=

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  20. In Delta ABC , if c^(4) - 2 (a^(2) + b^(2) ) c^(2) + a^(4) +a^(2)...

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