Home
Class 12
MATHS
If in a triangle ABC, acos^(2).(C)/(2)+c...

If in a triangle ABC, `acos^(2).(C)/(2)+c cos^(2).(A)/(2)=(3b)/(2)`, then the sides a, b, c :

A

are in G.P.

B

are in H.P.

C

satisfy `a+b=c`

D

are in A.P.

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • UNIT TEST PAPER NO.3

    MODERN PUBLICATION|Exercise ASSERTION-REASON & COLUMN MATCHING TYPE QUESTIONS (SECTION-A ASSERTION -REASON TYPE QUESTIONS)|13 Videos

  • UNIT TEST PAPER NO.3

    MODERN PUBLICATION|Exercise ASSERTION-REASON & COLUMN MATCHING TYPE QUESTIONS (SECTION-B COLUMN MATCHING TYPE QUESTIONS)|4 Videos

  • UNIT TEST PAPER NO. 6 (THREE - DIMENSIONAL GEOMETRY, VECTORS & PROBABILITY)

    MODERN PUBLICATION|Exercise Select the correct answer|25 Videos

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTION|11 Videos

Similar Questions

Explore conceptually related problems

If in a triangle ABC , acos^(2).(C)/(2)+cos^(2).(A)/(2)=(3b)/(2) , then the sides a,b,c

In a triangle ABC, 2casin.(A-B+C)/(2)=

In a triangle ABC, a[b cos C - c cos B] =

In a triangle ABC, a[b cos C - c cos B]=

In a triangle A B C, hat(A)=(pi)/(2) then cos ^(2) B+cos ^(2) C=

In a triangle ABC, if (cos A)/(a) = (cos B)/(b)= (cos C)/(c ) and a=2 then its area is

In a triangle ABC, 2acsin.(1)/(2)(A-B+C) is equal to :

In a triangle ABC , 2acsin.(1)/(2)(A-B+C) is equal to :

If any triangle A B C sin ^(2) A+sin ^(2) B-sin ^(2) C=

In a triangle ABC, (a+b+c)(b+c-a)=lambdabc if :