Home
Class 12
MATHS
In any triangle ABC, If b^(2) = a(c+a), ...

In any triangle ABC, If `b^(2) = a(c+a), c^(2) = b(a+b)`, then prove that, cosAcosB cosC `=-1/8`.

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise EXERCISE (Multiple choice questions)|13 Videos
  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise Very Short Answer Type Questions|20 Videos
  • PRODUCTS OF TWO VECTORS

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion - Reason Type )|2 Videos
  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Exams (Assertion- Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

If in triangle ABC ,b^2=a(c+a) and c^2=(a+b)b then prove that cosAcos B cos C=(-1/8)

In any triangle ABC, if tan (A/2), tan (B/2), tan (C/2) are in A.P., prove that, cosA, cosB, cosC are also in A.P.

In any triangle ABC, if sin A : sin B: sin C= 4:5:6, then prove that, cosA : cosB : cosC = 12:9:2

In any triangle ABC, if 1/(a+c) + 1/(b+c) = 3/(a+b+c) then show that, C=60^(@) .

In triangle ABC tan(A/2), tan(B/2) and tan (C/2) are in A.P. then prove that cosA,cosB,cosC are in A.P.

If in a triangle ABC, (a-b+c)/2 = ab/(b+c-a) then prove that angleC=90^(@) .

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

In any triangle ABC, the value of (b^(2)sin 2C + c^(2) sin 2B) is-

In any triangle ABC, if 8R^(2) =a^(2) + b^(2) +c^(2) , prove that, the triangle is right angled.

In a triangle ABC, if (sqrt3-1)a = 2b, A = 3B , then /_C is