Home
Class 11
MATHS
The value of (cosA)/(P1)+(cosB)/(P2)+(co...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    ALLEN|Exercise All Questions|1 Videos
  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise Do yourself -6|4 Videos

Similar Questions

Explore conceptually related problems

If p_(1), p_(2),p_(3) are respectively the perpendiculars from the vertices of a triangle to the opposite sides , then (cosA)/(p_(1))+(cosB)/(p_(2))+(cosC)/(p_(3)) is equal to

If A+B+C=pi , prove that : (cosA)/(sinb sinC) + (cosB)/(sinC sin) + (cosC)/(sinA sinB) =2 .

If p_1,p_2,p_3 re the altitudes of the triangle ABC from the vertices A, B and C respectivel. Prove that (cosA)/p_1+(cosB)/p^2+(cosC)/p_3 =1/R

P_(1), P_(2), P_(3) are altitudes of a triangle ABC from the vertices A, B, C and Delta is the area of the triangle, The value of P_(1)^(-1) + P_(2)^(-1) + P_(3)^(-1) is equal to-

In a triangle ABC, the value of cosA/sinBsinC ​ + cosB/sinCsinA ​ + cosC/sinAsinB ​

If in a triangle ABC , 2(cosA)/a+(cosB)/b+2(cosC)/c=a/(bc)+b/(ca) , then the value of the angle A, is

Let the lengths of the altitudes from the vertices A(-1, 1), B(5, 2), C(3, -1) of DeltaABC are p_(1), p_(2), p_(3) units respectively then the value of (((1)/(p_(1)))^(2)+((1)/(p_(3)))^(2))/(((1)/(p_(2)))^(2)) is equal to

In DeltaABC , prove that: (c-bcosA)/(b-c (cosA))=(cosB)/(cosC)

If in a triangle A B C ,(1+cosA)/a+(1+cosB)/b+(1+cosC)/c =(k^2(1+cosA)(1+cosB)(1+cosC)/(a b c) , then k is equal to (a) 1/(2sqrt(2)R) (b) 2R (c) 1/R (d) none of these

In a DeltaABC , if (2cosA)/a+(cosB)/b+(2cosC)/c=a/(bc)+b/(ca) , prove that angleA=90^(@) .

ALLEN-SOLUTION AND PROPERTIES OF TRIANGLE-All Questions
  1. In a A B C ,\ A D is the bisector of the angle A meeting B C at Ddot ...

    Text Solution

    |

  2. If p1, p2, p3, be the altitudes of a triangle ABC from the vertices A,...

    Text Solution

    |

  3. The value of (cosA)/(P1)+(cosB)/(P2)+(cosC)/(P3) is

    Text Solution

    |

  4. The minimum value of (b^2p1)/c+(c^2p2)/a+(a^2p3)/b\ is

    Text Solution

    |

  5. Find the value of a if the value of 2x^2+3x-a is equal to 6 when x=-2.

    Text Solution

    |

  6. Statement - I : If two sides of a triangle are 4 and 5, then its ar...

    Text Solution

    |

  7. Statement I perimeter of a regular pentagon inscribed in a circle with...

    Text Solution

    |

  8. Statement - I : The statement that circumradius and inradius of a t...

    Text Solution

    |

  9. Statement - I : In any triangle A B C , the minimum values of (r1+r2+r...

    Text Solution

    |

  10. Statement - I : Area of triangle having sides greater than 9 can be ...

    Text Solution

    |

  11. Let An be the area that is outside a n-sided regular polygon and insid...

    Text Solution

    |

  12. If n=4\ then Bn is equal to : R^2((4-pi))/2 (b) (R^2(4-pisqrt(2)))/2 ...

    Text Solution

    |

  13. (An)/(Bn) is equal to (theta=pi/n) (2theta-sin2theta)/(sin2theta-thet...

    Text Solution

    |

  14. Prove that : 4\ R\ sin AsinB\ sin C=acosA+b\ cos B+c cosCdot

    Text Solution

    |

  15. Prove that : acosB\ cos C+bcosCcosA+c\ cos AcosB=/R

    Text Solution

    |

  16. If p1, p2, p3, be the altitudes of a triangle ABC from the vertices A,...

    Text Solution

    |

  17. Prove that : (a b c)/scosA/2cosB/2cosC/2=

    Text Solution

    |

  18. In a DeltaABC, if B=3C, prove that (i) cosC=sqrt(((b+c)/(4c)))" (i...

    Text Solution

    |

  19. A B C is a triangle. D is the mid point of B Cdot If A D is perpendicu...

    Text Solution

    |

  20. Let 1 lt m lt 3. ln a Delta ABC, if 2b= (m+1) a and cos A=1/2 sqrt(((m...

    Text Solution

    |