Home
Class 12
MATHS
Coefficient of x ^(6) in the epansion ...

Coefficient of `x ^(6)` in the epansion
`( x + (1)/(x ^(2)) ) ^(6)` is

A

10

B

15

C

16

D

None

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 43

    NTA MOCK TESTS|Exercise MATHEMATICS |30 Videos
  • NTA TPC JEE MAIN TEST 45

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos

Similar Questions

Explore conceptually related problems

The coefficient of x^(6) in the expansion of (1+x+x^(2)+x^(3))(1-x)^(6) is

Find the coefficient of x^(6) in the expansion of (2x^(3)-(1)/(3x^(3)))^(10)

Find the coefficient of x^(6) in the expansion of (2x^(3)-(1)/(3x^(3)))^(10)

The coefficient of x^(7) in the expansion of (1-x-x^(2) + x^(3))^(6) is :

The coefficient of x^(6) in the expansion of (1+x+x^(2))^(6) is

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 44-MATHEMATICS
  1. Coefficient of x ^(6) in the epansion ( x + (1)/(x ^(2)) ) ^(6) is

    Text Solution

    |

  2. For any complex number z in the largand plane, the minimum value of |Z...

    Text Solution

    |

  3. Let A and B be 3 xx 3 symmetric matrices such that X = AB + BA and Y...

    Text Solution

    |

  4. Three persons A, B, C throw a die in succession. The one getting six w...

    Text Solution

    |

  5. Remainder wen sum (r = 0) ^( n) ((r !) ^(3) + (r ~) ^(2) + (r !)) is...

    Text Solution

    |

  6. If A is the set of een natural numbers less than 9 and B is the set of...

    Text Solution

    |

  7. Radius of largest circle which passes through the focus of the parabol...

    Text Solution

    |

  8. Area of triangle formed by lines x ^(2) - y ^(2) = 0 and any tangent t...

    Text Solution

    |

  9. Tangent to parabola y ^(2) = 4 p ( x +1) cuts hyperbola xy = 2 I A an...

    Text Solution

    |

  10. A line passes through (2,2) and is perpendicular to the line 3x + y = ...

    Text Solution

    |

  11. The equation of a plane containing the line of intersection of the pla...

    Text Solution

    |

  12. Let veca, vecb, vecc be 3 mutually perpendicular unit vectors. If an u...

    Text Solution

    |

  13. The value of lim ( x to0) ((1 + 4x + x ^(2)) ^((1)/(x) ) - (1 + 4x - 5...

    Text Solution

    |

  14. Let f (x) = {{:((sin ax ^(2))/(x ^(2)),, x ne 0),( (3)/(4) + (1)/(4a)...

    Text Solution

    |

  15. The general solution of the differential equation, sin 2x ((dy)/(dx...

    Text Solution

    |

  16. If int (dx)/( cos ^(3) x sqrt(2 sin 2x)) = (tan x ) ^(4) + C (tan x ) ...

    Text Solution

    |

  17. The value of prod (r =) ^( 7) cos ""(pi r )/(15) is

    Text Solution

    |

  18. The solution of the equation cos ^(2) x - 2 cos x = 4 sin x is +4 sin...

    Text Solution

    |

  19. The domain set of defination of the function f (x) = sqrt ( cos (sin ...

    Text Solution

    |

  20. Which is a contradiction from the following ?

    Text Solution

    |