If sin^(2).(A)/(2)+sin^(2).(B)/(2)+sin^(...

If `sin^(2).(A)/(2)+sin^(2).(B)/(2)+sin^(2).(C)/(2)` are in H.P , show that a , b, c are in H. P

Promotional Banner

Promotional Banner

Topper's Solved these Questions

PROPERTIES OF TRIANGLES
SRISIRI PUBLICATION|Exercise LAQ|20 Videos
PROPERTIES OF TRIANGLES
SRISIRI PUBLICATION|Exercise LAQ ,SAQ,VSAQ (2DHARDQ) (3DMIS.Q)|44 Videos
PROPERTIES OF TRIANGLES
SRISIRI PUBLICATION|Exercise LAQ ,SAQ,VSAQ (2DHARDQ) (3DMIS.Q)|44 Videos
PRODUCT OF VECTORS
SRISIRI PUBLICATION|Exercise SPQ|15 Videos
QUESTION PAPER
SRISIRI PUBLICATION|Exercise SECTION - C|36 Videos

Similar Questions

Explore conceptually related problems

If A, B , C are angles of a triangle, then P. T sin ^(2) . (A)/(2)+ sin^(2). (B)/(2) - sin ^(2). (C)/(2) =1-2 cos. (A)/(2) cos. (B)/(2) sin .(C)/(2)

If (1)/(a^(2)), (1)/(b^(2)), (1)/(c^(2)) are in H.P., then

If A+B+C=180^@ " then " sin^(2)""(A)/(2)-sin^(2)""(B)/(2)+sin^(2)""(C)/(2)=

If 2 sin ""( A) /( 2) sin ""( C)/(2) = sin "" ( B) /(2) then a,b,c are in

In Delta ABC, if sin^2""A/2, sin^2""B/2,sin^2""C/2 are in H.P, then a,b,c in

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

If sin ^(2) A+ sin ^(2) B + sin ^(2) C then angle C =

If A+B+C=180^(@) " then " sin^(2)""(A)/(2)+sin^(2)""(B)/2+sin^(2)""(C)/(2)=

SRISIRI PUBLICATION-PROPERTIES OF TRIANGLES-SAQ (1D STAR Q)

Show that (cosA)/(a)+(cosB)/(b)+(cosC)/(c)=(a^(2)+b^(2)+c^(2))/(2abc)
Text Solution
|
Prove that (a)/(bc)+(cosA)/(a)=(b)/(ca)+(cosB)/(b)=(c)/(ab)+(cosC)/(c)
Text Solution
|
Prove that cotA+cotB+cotC=(a^2+b^2+c^2)/(4Delta)
Text Solution
|
In DeltaABC, " if" (1)/(a+c)+(1)/(b+c)=(3)/(a+b+c) then show that C=...
Text Solution
|
If C=60^(@), " then show that"(a)/(b+c)+(b)/(c+a)=1
Text Solution
|
In a DeltaABC" if " a:b:c=7:8:9 then show that cosA:cosB:cosC=14:11:6
Text Solution
|
Show that a^(2)cotA+b^(2)cotB+c^(2)cotC=(abc)/(R)
Text Solution
|
Prove that (1+cos(A-B)cosC)/(1+cos(A-C)cosB)=(a^(2)+b^(2))/(a^(2)+c^(2...
Text Solution
|
Show that b^(2)sin2C+c^(2)sin2B=2bcsinA
Text Solution
|
In a DeltaABC " if " a cosA=bcosB the prove that triangle is either...
Text Solution
|
In DeltaABC show that (a+b+c)(tan.(A)/(2)+tan.(B)/(2))=2cot.(C)/(2)
Text Solution
|
If cot A/2:cot"" B/2: cot"" C/2 = 3:5:7 then show that a:b:c = 6:5:4.
Text Solution
|
Prove that cot.(A)/(2)+cot.(B)/(2)+cot.(C)/(2)=(s^(2))/(Delta)
Text Solution
|
Prove that tan.(A)/(2)+tan.(B)/(2)+tan.(C)/(2)=(bc+ca+ab-s^(2))/(Delta...
Text Solution
|
If cot.(A)/(2)+cot.(B)/(2)+cot.(C)/(2) are in A.P , then prove that a,...
Text Solution
|
If sin^(2).(A)/(2)+sin^(2).(B)/(2)+sin^(2).(C)/(2) are in H.P , show t...
Text Solution
|
In DeltaABC prove that tan((B-C)/(2))=(b-c)/(b+c)cot.(A)/(2)
Text Solution
|
Show that (1)/(r^(2))+(1)/(r(1)^(2))+(1)/(r(2)^(2))+(1)/(r(3)^(2))=(a^...
Text Solution
|