Home
Class 12
MATHS
In any triangle ABC (with usual notation...

In any triangle ABC (with usual notation), Let `cotA=sqrt(a c),cot B=sqrt(c/a),cotC=sqrt((a^3)/c)` then which of the following is true : `a+a^2=1-c` (2) `a+a^2=1+c` `a+a^2=2-c` (4) `1+a+a^2=c` `a-a^2=1-c`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

In triangle ABC, let b = 10, c = 10 sqrt(2) and R = 5 sqrt(2) then which of the following are correct

If in a triangle ABC, (tanA)/1= (tanB)/2 = (tanC)/3 then prove that 6sqrt(2a)=3sqrt(5b)=2sqrt(10)c

In any triangle A B C , prove that: (b-c)cot (A/2)+(c-a)cot (B/2)+(a-b)cot (C/2) =0

In any triangle A B C , prove that: (b-c)cot A/2+(c-a)cot B/2+(a-b)cot C/2 =0

In any triangle ABC prove that cot(A/2)+cot(B/2)+cot(C/2)=cot(A/2)cot(B/2)cot(C/2)

In a triangle ABC , if b^2 + c^2 = 3a^2 , then cotB + cotC-cotA is equal to

In any triangle A B C , prove that: Delta=(b^2+c^2-a^2)/(4cotA) .

Show that in any triangle ABC, (a+b+c) (tan (A/2) + tan (B/2)) = 2c cot (C/2)

In a triangle ABC, prove that (cot(A/2)+cot(B/2)+cot(C/2))/(cotA+cotB+cot(C))=((a+b+c)^2)/(a^2+b^2+c^2)

If a=1+sqrt(3), b=2 and c=sqrt(2) , then the measure of angleB is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If A B=A ,B A=B then (A+B)^n= (where n in N) (1)(A^2+B^2) (2) (A+B)...

    Text Solution

    |

  2. If sum(i=1)^5xi^2=40&sum(j=6)^(10)xj^2=20 and mean of x1,x2, ...,x5 ...

    Text Solution

    |

  3. In any triangle ABC (with usual notation), Let cotA=sqrt(a c),cot B=s...

    Text Solution

    |

  4. about to only mathematics

    Text Solution

    |

  5. If a,b,c epsilonQ then roots of the equation (b+c-2a)x^(2)+(c+a-2b)x+(...

    Text Solution

    |

  6. Coefficient of variation of two distributions are 60% and 70% and thei...

    Text Solution

    |

  7. If a^(2)+b^(2)+c^(2)+ab+bc+ca le 0 AA a,b,c in R, then value of the de...

    Text Solution

    |

  8. A tower subtends angles alpha,2alpha,3alpha respectively, at point A ,...

    Text Solution

    |

  9. Show that tan^(-1) (1/2) +tan^(-1) (1/8) = tan^(-1) (3/4) - tan^(-1)...

    Text Solution

    |

  10. A boy has 3 library tickets and books of his interest in the library. ...

    Text Solution

    |

  11. Find the values of alpha for which the point (alpha-1,alpha+1) lies in...

    Text Solution

    |

  12. Which of the following correspondences can not be called a function ...

    Text Solution

    |

  13. 2f(x/2)+3f((2-x)/3)=g(x),0lt=x<3, f^(x)>0; If g(x) is strictly increa...

    Text Solution

    |

  14. Determine the matrices A and B where A + 2B = [(1, 2, 0), (6, -3, 3),...

    Text Solution

    |

  15. If the equation x^(5)-10a^(3)x^(2)+b^(4)x+c^(5)=0 has three equal root...

    Text Solution

    |

  16. If f(x) and g(x) are two polynomilas such that the polynomial h(x)=xf(...

    Text Solution

    |

  17. Let ax+by+c=0 be a variable straight line, where a, b and c are 1^(st)...

    Text Solution

    |

  18. Let f(x , y)=(x-y)/(x+y),x+y!=0, then

    Text Solution

    |

  19. If f(x) be a twice differentiable function from RR rarr RR such that t...

    Text Solution

    |

  20. A,B,C,D are four points in the space and satisfy | vec A B|=3,| vec B ...

    Text Solution

    |