In Delta ABC, if A,B,C are in A.P then ...

In `Delta ABC`, if A,B,C are in A.P then `(a+c)/sqrt(a^2-ac+c^2)=`

A

`cos ((A-C)/2)`

B

`sin ((A-C)/2)`

C

`2 cos ((A-C)/2)`

D

`2 sin ((A-C)/2)`

Text Solution

Verified by Experts

The correct Answer is:

C

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

PROPERTIES OF TRIANGLES
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|111 Videos
PROPERTIES OF TRIANGLES
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|45 Videos
PROPERTIES OF TRIANGLES
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos
PRODUCTS OF VECTORS
DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -D|14 Videos
QUADRATIC EXPRESSIONS
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -4)|4 Videos

Similar Questions

Explore conceptually related problems

If in Delta ABC the sides a,b,c are in A.P. Then

In Delta ABC , if A = 3C " then " (a-c)/( 2c ) =

Knowledge Check

In Delta ABC , if A,B , C are in A.P. The (a+c)/( sqrt(a^(2) -ac + c^(2))

A

` cos ((A-C)/( 2)) `

B

`sin ((A-C)/( 2)) `

C

`2 cos ((A-C)/( 2)) `

D

`2 sin ((A-C)/( 2)) `

In Delta ABC , if a,b,c are in A.P, then tan""A/2 tan""C/2 =

A

`1//4`

B

`1//3`

C

3

D

None

In Delta ABC , if a,b,c are in A.P, then cos((A-C)/2)cosec(B/2)=

A

`1//2`

B

2

C

`1//3`

D

3

Similar Questions

Explore conceptually related problems

A: In a Delta ABC , if A,B,C are in A.P. and triangle is equilateral cos A+2 cos B+ cos C=2 R: In a Delta ABC , if A,B,C are in A.P. and cos A+ cos B+ cos C=2 then the triangle is isosceles.

In Delta ABC , if a,b,c are in A.P, then r_1,r_2,r_3 are in

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

In Delta ABC , If a , b, c are in A.P. then Cot. A/2 Cot. C/2 =

A: In a Delta ABC , if the sides a,b,c are in A.P. then a cos^2""C/2+c cos^2""A/2=3b R: In a Delta ABC , if A,B,C are in A.P. then B=pi//3

DIPTI PUBLICATION ( AP EAMET)-PROPERTIES OF TRIANGLES -EXERCISE 1A

In Delta ABC,a^2 sin 2C+c^2 sin 2A=
03:22
|
In Delta ABC, R^2 (sin 2A+ sin 2B+ sin 2C)=
02:32
|
In Delta ABC, if A,B,C are in A.P then (a+c)/sqrt(a^2-ac+c^2)=
05:26
|
In Delta ABC, if a,b,c are in A.P the greatest angle is A and least is...
06:26
|
In Delta ABC, if x=tan((B-c)/2)tan""A/2,y=tan((C-A)/2)tan""B/2,z=tan(...
05:15
|
In Delta ABC, if cos A+2 cos B+cos C=2, then the sides of the triangle...
05:59
|
In Delta ABC, if a sin^2""C/2+c sin^2""A/2 in terms of s,a,b,c is
04:22
|
In Delta ABC, if c cos^2""A/2+a cos^2 ""C/2 in terms of s is
04:22
|
In Delta ABC, (b-c)^2 +4bc sin^2 (A//2)=
05:48
|
In Delta ABC, if b=(c+a) cos theta, then sin theta=
03:11
|
In Delta ABC, if c=(a-b) sec theta, then tan theta=
02:55
|
In Delta ABC, if c=(a+b) sin theta and cos theta =(ksqrtab)/(a-b), the...
03:30
|
In Delta ABC, if a(b cos C+ c cos B)=2ka^2, then k =
02:34
|
In Delta ABC, if tan theta =(a+b)/(a-b) tan""C/2, then c=
Text Solution
|
If tan.(C-A)/(2)=k cot.(B)/(2) then find k .
02:32
|
In Delta ABC, if tan""A/2=t cot ((B-C)/2), then t=
03:26
|
If the area of a triangle satisfies the relation Delta =a^2 -(b-c)^2, ...
02:59
|
In Delta ABC, if a,b,c are in A.P, then tan""A/2 tan""C/2=
02:24
|
In Delta ABC, if tan""A/2,tan""B/2, tan""C/2 are in H.P, then a,b,c ar...
05:35
|
In Delta ABC, if a/c=(sin(A-B))/(sin (B-C)), then a^2,b^2,c^2 are in
05:40
|