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a cos ^(2) "" ( A) /(2) + b cos ^(2) ""...

` a cos ^(2) "" ( A) /(2) + b cos ^(2) "" ( B)/(2) = c cos ^(2) "" ( C) /(2) =`

A

`Delta`

B

`(Delta)/(R)`

C

`s+(Delta)/(R)`

D

`2Delta`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-PROPERTIES OF TRIANGLES-PRACTICE SHEET (EXERCISE-II) (LEVEL-I)
  1. In DeltaABC, 4R "cos"(A)/(2)"cos"(B)/(2)"cos"(B)/(2)=

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  2. In DeltaABC, the value of ("cot"(A)/(2)"cot"(B)/(2)-1)/("cot"(A)/(2)"c...

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  3. a cos ^(2) "" ( A) /(2) + b cos ^(2) "" ( B)/(2) = c cos ^(2) "" ( C...

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  4. In Delta ABC, if cot""A/2:cot""B/2:cot""C/2=3:7:9, then a:b:c=

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  5. In a=5,b=4 and cos(A-B)=(31)/(32) then tan C/2.

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  6. If Delta =a^2-(b-c)^2, is the area of the triangle ABC, then tan A=

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  7. In Delta ABC tan "" ( A)/(2) = ( 5)/( 6) , tan "" ( C )/(2) = (2)/(5...

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  8. If the sides of a triangle are 5, 7, 8 then its area is

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  9. In Delta ABC, if c^2=a^2+b^2,2s=a+b+c, then 4s(s-a)(s-b)(s-c)=

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  10. If Delta is the area of triangle whose sides are a,b,c then the area o...

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  11. if (2)/(5)(y)/(z)+(2)/(5)(z)/(x)+(2)/(5)(x)/(y),(2)/(5)(x)/(y)+(2)/(5)...

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  12. The perimeter of a triangle is 16 cm. One of the sides is of length 6 ...

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  13. In Delta ABC, if a= 2, B=120^@, C=30^@, then the area of the triangle ...

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  14. P is any point inside a Delta^("le")ABC. lines are drawn through P pa...

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  15. If DeltaABC, if "cos"(A)/(2)= sqrt((b+c)/(2c)) then

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  16. In any Delta ABC,((a+b+c)(b+c-a)(c+a-b)(a+b-c))/(4b^2c^2)=

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  17. In Delta ABC, if sin^2 A+sin^2 B=sin^2 C, then C=

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  18. In Delta ABC, if sin^2 A+sin^2 B+sin^2 C =9//4, then the triangle is

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  19. Which of the above statements is correct. I In a DeltABC if 4s(x-a)...

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  20. Statement -I : In Delta ABC , b cos ^(2) "" ( C)/(2) + c cos ^(2) ""...

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