Home
Class 12
MATHS
Let (x+10)^(50)+(x-10)^(50)=a(0)+a(1)x+a...

Let `(x+10)^(50)+(x-10)^(50)=a_(0)+a_(1)x+a_(2)x^(2)+...+a_(50)x^(50)` for all `x in R`, then `(a_(2))/(a_(0))` is equal to

A

12.5

B

12

C

12.75

D

12.25

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 1|5 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 2|7 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise chapter -3|1 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|541 Videos

  • LIMITS

    CENGAGE PUBLICATION|Exercise Comprehension Type|4 Videos

Similar Questions

Explore conceptually related problems

Let (1+x+x^(2))^(9)=a_(0)+a_(1)x+a_(2)x^(2)+.....+a_(18)x^(18) . Then

Let (1+x+x^(2))^(9)=a_(0)+a_(1)x+a_(2)x^(2)+......+a_(18)x^(18) . Then

If (1+x+x^(2))^(25)=a_(0)+a_(1)x+a_(2)x^(2)+...+a_(50).x^(50) , then a_(0)+a_(2)+a_(4)+....+a_(50) is

If (x^(2)+x+1)/(1-x) = a_(0) + a_(1)x+a_(2)x^(2)+"…." , then sum_(r=1)^(50) a_(r) equal to

If (1+x) ^(15) =a_(0) +a_(1) x +a_(2) x ^(2) +…+ a_(15) x ^(15), then the value of sum_(r=1) ^(15) r . (a_(r))/(a _(r-1)) is-

a_(1), a_(2),a_(3) in R - {0} and a_(1)+ a_(2)cos2x+ a_(3)sin^(2)x=0 " for all " x in R then

For x in R, x ne -1 , if (1+x)^(2016)+x(1+x)^(2015)+x^(2)(1+x)^(2014)+……+x^(2016) = sum_(i=0)^(2016)a_(i)*x^(i) , then a_(17) is equal to

If a_(1),a_(2)a_(3),….,a_(15) are in A.P and a_(1)+a_(8)+a_(15)=15 , then a_(2)+a_(3)+a_(8)+a_(13)+a_(14) is equal to

Let a_(1),a_(2),a_(3),….,a_(4001) is an A.P. such that (1)/(a_(1)a_(2))+(1)/(a_(2)a_(3))+...+(1)/(a_(4000)a_(4001))=10 a_(2)+a_(4000)=50 . Then |a_(1)-a_(4001)| is equal to

If (1+x+2x^(2))^(20) = a_(0) + a_(1)x^() "……" + a_(40)x^(40) , then following questions. The value of a_(0) +a_(2) + a_(4)+ "……" + a_(38) is

CENGAGE PUBLICATION-JEE 2019-MCQ
  1. If the middle term of the expansion of (x^3/3+3/x)^8 is 5670 then sum ...

    Text Solution

    |

  2. The value of r for which .^(20)C(r ). ^(20)C(0)+ .^(20)C(r - 1) .^...

    Text Solution

    |

  3. Let (x+10)^(50)+(x-10)^(50)=a(0)+a(1)x+a(2)x^(2)+...+a(50)x^(50) for a...

    Text Solution

    |

  4. Let Sn=1+q+q^2 +...+q^n and Tn =1+((q+1)/2)+((q+1)/2)^2+...((q+1)/2)^n...

    Text Solution

    |

  5. Ratio of the 5^(th) term from the beginning to the 5^(th) term from th...

    Text Solution

    |

  6. If ""^(n)C(4),""^(n)C(5) and ""^(n)C(6) are in A.P. then the value of ...

    Text Solution

    |

  7. Number of irrational terms in expansion of (2^(1/5) + 3^(1/10))^60 is

    Text Solution

    |

  8. Two integers are selected at random from the set {1, 2, …, 11}. Given ...

    Text Solution

    |

  9. Let S={1,2,...,20} A subset B of S is said to be "nice", if the sum of...

    Text Solution

    |

  10. In a class of 60 students, 40 opted for NCC, 30 opted for NSS and 20 o...

    Text Solution

    |

  11. In a game, a man wins Rs 100 if he gets 5 or 6 on a throw of a fair di...

    Text Solution

    |

  12. If the Boolean expression (p oplusq)wedge (~p Theta q) is equivalent t...

    Text Solution

    |

  13. The logical statement [~(~pvvq)vv(p^^r)]^^(~q^^r) is equivalent to

    Text Solution

    |

  14. Given three statements P: 5 is a prime number, Q:7 is a factor of 192,...

    Text Solution

    |

  15. If q is false and (p^^q) harr r is also true then which of the followi...

    Text Solution

    |

  16. The Boolean expression ~(pvvq)vv(~p^^q) is equivalent to (1) ~p (2) p ...

    Text Solution

    |

  17. (~pvv~q) is logically equivalent to

    Text Solution

    |

  18. Average height & variance of 5 students in a class is 150cm and 18cm^2...

    Text Solution

    |

  19. A data consists of n observations x(1), x(2), ..., x(n). If Sigma(i=1)...

    Text Solution

    |

  20. The mean of five observations is 5 and their variance is 9.20. If thr...

    Text Solution

    |