Home
Class 10
MATHS
a+b+c+d=4 হলে , 1/((1-a)(1-b)(1-c)) +1/(...

`a+b+c+d=4` হলে , `1/((1-a)(1-b)(1-c)) +1/((1-b)(1-c)(1-d))+1/((1-c)(1-d)(1-a))+1/((1-d)(1-a)(1-b))`= কত?

Promotional Banner

Topper's Solved these Questions

  • RAMAKRISHNA MISSION VIDYALAYA, NARENDRAPUR

    UNITED BOOK HOUSE|Exercise EXERCISE|53 Videos

  • Ratio and proportion

    UNITED BOOK HOUSE|Exercise Exercise |31 Videos

Similar Questions

Explore conceptually related problems

If |a|<1a n d|b|<1, then the sum of the series 1+(1+a)b+(1+a+a^2)b^2+(1+a+a^2+a^3)b^3+... is (a) 1/((1-a)(1-b)) (b). 1/((1-a)(1-a b)) (c.) 1/((1-b)(1-a b)) (d.) 1/((1-a)(1-b)(1-a b))

(1)/(1+x^(a-b)+x^(a-c))+(1)/(1+x^(b-c)+x^(b-a))+(1)/(1+x^(c-a)+x^(c-b))

Simply (x^(1/(a-b)))^(1/(a-c))xx(x^(1/(b-a)))^(1/(b-c))xx(x^(1/(c -a)))^(1/(c-b))

If a, b, c are in A.P. then show that, a((1)/(b)+(1)/(c )), b((1)/(c )+(1)/(a)) and c((1)/(a)+(1)/(b)) are also in A.P.

If (1)/(a)+(1)/(c )=(1)/(2b-a)+(1)/(2b-c) , then

Let a , b , c ne three distinct non-zero real numbers satisfying the system of equation (1)/(a)+(1)/(a-1)+(1)/(a-2)=1 , 1/b+(1)/(b-1)+(1)/(b-2)=1 , (1)/(c )+(1)/(c-1)+(1)/(c-2)=1 . Then abc= (a) 1 (b)2 (c)3 (d)4

If a/(4-a)+b/(4-b)+c/(4-c)=1 prove that 1/(4-a)+1/(4-b)+1/(4-c)=1

The value of cos(1/2cos^(-1)(1/8)) is (a) 3/4 (b) -3/4 (c) 1/(16) (d) 1/4

(1)/(x^(b)+x^(-c )+1)+(1)/(x^(c )+x^(-a)+1)+(1)/(x^(a)+x^(-b)+1) given a+b+c=0

|{:(-1,b,c),(a,-1,c),(a,b,-1):}|=(a+1)(b+1)(c+1)((a)/(a+1)+(b)/(b+1)+(c)/(c+1)-1)

UNITED BOOK HOUSE-RAMKRISHNA MMISSION BOYS SCHOOL-EXERCISE
  1. To dig a well of x dcm deep, one part of the total expenses varies di...

    Text Solution

    |

  2. If x : a = y : b = z : c,then show that : (a^2+b^2+c^2)(x^2+y^2+z^2) =...

    Text Solution

    |

  3. a+b+c+d=4 হলে , 1/((1-a)(1-b)(1-c)) +1/((1-b)(1-c)(1-d))+1/((1-c)(1-d)...

    Text Solution

    |

  4. Answer any One queation : Prove that, if a perpendicular is draw on t...

    Text Solution

    |

  5. Prove that the tangent and the radius through the point of contact of ...

    Text Solution

    |

  6. Answer any One question : In triangleABC, AD is perpendicular on BC a...

    Text Solution

    |

  7. Two circles touch externally at P. A direct common tangent AB to two c...

    Text Solution

    |

  8. Geometrically find the value of sqrt(21),

    Text Solution

    |

  9. Construct a triangle whose two sides are 9 cm and 7 cm and the angle b...

    Text Solution

    |

  10. Find the circular value of 52^@52'30''.

    Text Solution

    |

  11. If cot^4theta-cot^2 theta = 1 then show that sec^4 theta-sec^2 theta=1...

    Text Solution

    |

  12. Find the value of : (sec17^@)/(cosec73^@)+(tan68^@)/(cot22^@)+cos^244^...

    Text Solution

    |

  13. From a point on the roof a house 11 metres height, it is observed that...

    Text Solution

    |

  14. If the angle of depression of two consecutive km stones on a road fro...

    Text Solution

    |

  15. The volume of a sphere and a right circular cone are same. The height ...

    Text Solution

    |

  16. An outlet pipe in the roof with length 13m and breadth 11m was closed ...

    Text Solution

    |

  17. The external radius of a hollow sphere made of lead sheet of 1 cm thic...

    Text Solution

    |

  18. If the median of the following data is 32, find the values of x and b...

    Text Solution

    |

  19. Find the mean of the following data.

    Text Solution

    |

  20. Draw an ogive(greater than type) from the following.

    Text Solution

    |