Home
Class 12
MATHS
In a triangle ABC, if the sides a,b,c, a...

In a triangle ABC, if the sides a,b,c, are roots of `x^3-11 x^2+38 x-40=0,` then find the value of `(cosA)/a+(cosB)/b+(cosC)/c`

A

`(61)/(144)`

B

`(61)/(72)`

C

`(169)/(144)`

D

`(59)/(144)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SOLUTION OF TRIANGLES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|15 Videos
  • SOLUTION OF TRIANGLES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|13 Videos
  • SEQUENCE AND SERIES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|21 Videos
  • STRAIGHT LINES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-5 : Subjective Type Problems|10 Videos

Similar Questions

Explore conceptually related problems

If the sides a, b, c of a triangle ABC are the roots of the equation x^(3)-13x^(2)+54x-72=0 , then the value of (cosA)/(a)+(cosB)/(b)+(cosC)/(c ) is equal to :

The value of (cosA)/(P_1)+(cosB)/(P_2)+(cosC)/(P_3) is

In triangle ABC , if a=3, b=4, and c=5, then find the value of cosA.

(a+b+c)(cosA+cosB+cosC)

In a triangle ABC , if a,b,c are the sides opposite to angles A , B , C respectively, then the value of |{:(bcosC,a,c cosB),(c cosA,b,acosC),(acosB,c,bcosA):}| is (a) 1 (b) -1 (c) 0 (d) acosA+bcosB+c cosC

In a triangle ABC the sides b and c are the roots of the equation x^2-61x+820=0 and A=tan^-1(4/3) then a^2+3 is equal to

In a triangle ABC the expression a cosB cosC+b cosA cosB equals to :

In any A B C ,2(bc cosA+ ca cosB+ab cosC) =

In any triangle ABC, if a=18 , b=24 , c=30 , findcosA, cosB, cosC

In a triangle A B C ,/_C=pi/2dot If tan(A/2)a n dtan(B/2) are the roots of the equation a x^2+b x+c=0,(a!=0), then the value of (a+b)/c (where a , b , c , are sides of opposite to angles A , B , C , respectively) is