Home
Class 12
MATHS
The coefficient of (1)/(y^(2)) in (y+(c...

The coefficient of `(1)/(y^(2))` in `(y+(c^(3))/(y^(2)))^(10)` is

A

`187 c^(12) `

B

`(210)/(c^(12)) `

C

`(c^(12))/(210) `

D

`210 c^(12) `

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|221 Videos
  • CIRCLES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|272 Videos

Similar Questions

Explore conceptually related problems

Find the coefficient of x^(6) y^(3) in the expansion of ( x+ 2y ) ^(9)

The coefficient of x^(2)y^(2),yzt^(2) xyzt in the expansion of (x+y+z+t)^(4) are in the ratio:

The sum of the coefficients in the expansion of (a x^(2)-2 x+1)^(35) is equal to sum of the coefficients in the expansion of (x-a y)^(35) , then a=

If y=m x+c is a tangent to (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 then b^(2) =

The condition that y=m x+c is a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) =1 is

If |(2a,x_(1),y_(1)),(2b,x_(2),y_(2)),(2c,x_(3),y_(3))| = (abc)/2 != 0 , then the area of the triangle whose vertices are ((x_(1))/a,(y_(1))/a),((x_(2))/b,(y_(2))/b)and ((x_(3))/c,(y_(3))/c)

If f(y) = (y)/(sqrt(1-y^(2))), g(y) = (y)/(sqrt(1+y^(2))) , then (fog) y is equal to

The radical axis of the circles x^(2)+y^(2)+2x+2y+1=0 and x^(2)+y^(2)-10x-6y+14=0 is

Find the zeros of these polynomials and verify the relationship between zeros and coefficients. i] f(x) = x^(2) - (sqrt(3) + 1) x + sqrt(3) ii] f(v) = v^(2) + 4 sqrt(3) v - 15 iii] q(y) = 7y^(2) (11)/(3) y - (2)/(3)

HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. If the rth term is the middle term in the expansion of (x^(2)-(1)/(2x)...

    Text Solution

    |

  2. The coefficient of x^(13) in the expansion of (1-x)^(5)(1+x+x^(2)+x...

    Text Solution

    |

  3. The coefficient of (1)/(y^(2)) in (y+(c^(3))/(y^(2)))^(10) is

    Text Solution

    |

  4. If the r^(th) term in the expansion of ((x)/(3)-(2)/(x^(2)))^(10) con...

    Text Solution

    |

  5. The 7^(th) term in ((1)/(y)+y^(2))^(10) , when expanded in descendin...

    Text Solution

    |

  6. The term independent of x in (1+x)^(m)(1+(1)/(x))^(n)

    Text Solution

    |

  7. The 6^(th) term for the end of the expansion of (3 x-(1)/(x^(2)))^(1...

    Text Solution

    |

  8. The last term in the binomial expression of (root(3)(2)-(1)/(sqrt(2)))...

    Text Solution

    |

  9. The number of non zero terms in the expansion of (1+2sqrt(3) x)^(9)+...

    Text Solution

    |

  10. The number of terms in the expansion of (sqrt(5)+4sqrt(11))^(124) wh...

    Text Solution

    |

  11. If r^(th) and (r+1)^(th) term in the expansion of (1+x)^(n) are equ...

    Text Solution

    |

  12. If the coefficients of r^(th) and (r+1)^(th) term in the expansion o...

    Text Solution

    |

  13. The greatest coefficient in the expansion of (1+x)^(24) is

    Text Solution

    |

  14. If the second term in the expansion ((a)^(1/13)+(a)/(sqrt(a^(-1))))^...

    Text Solution

    |

  15. The sum of last ten coefficients in the expansion of (1+x)^(19) whe...

    Text Solution

    |

  16. (1)/(n !)+(1)/(2 !(n-2) !)+(1)/(4 !(n-4) !)+.... =

    Text Solution

    |

  17. The coefficient of x^(5) in the expansion of (1+x)^(21)+(1+x)^(22)+....

    Text Solution

    |

  18. The coefficient of x^(6) in: [(1+x)^(6)+(1+x)^(7)+ . . .+(1+x)^(15)]...

    Text Solution

    |

  19. Numerically the greatest term in the expansion of (3-5 x)^(15) when ...

    Text Solution

    |

  20. The greatest term in the expansion of (1+x)^(10) when x=(2)/(3) is

    Text Solution

    |