Home
Class 12
MATHS
If 1+(2+^49C1+^49C2+. . .+^49C49)("^50C2...

If `1+(2+^49C_1+^49C_2+. . .+^49C_49)("^50C_2+^50C_4+^50C_6+. . .+^50C_50)=m.2^n` then value of `m+n` is

Text Solution

Verified by Experts

The correct Answer is:
99
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

1-(49)/(50)

The value of .^50C_0 .^50C_1 + .^50C_1 .^50C_2 + .........+ .^50C_49 .^50C_50 is

Let m be the smallest positive integer such that the coefficient of x^2 in the expansion of (1+x)^2 + (1 +x)^3 + (1 + x)^4 +........+ (1+x)^49 + (1 + mx)^50 is (3n + 1) .^51C_3 for some positive integer n. Then the value of n is

If ""^(49)C_(3r - 2) = ""^(49)C_(2r + 1) , find 'r'.

If ""^(50)C_(r) = ""^(50)C_(r+2) ,find r.

(.^(50)C_(1))^(2)+2(.^(50)C_(2))^(2)+3(.^(50)C_(3))^(2)+.....+50(.^(50)C_(50))^(2)=

Sum the series : ""^1000C_50 + 2 * ""^999C_49 + 3 * ""^998C_48+...+51 * ""^950C_0

The value of (-50C_(0))^(2)-(-50C_(1))^(2)+(-50C_(2))^(2)-......+(-50C_(50))^(2) is equal to

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. Let f(x)=ax^2+bx+c and f(1)=3 , f(-2)=lamda , f(3)=4 then value of lam...

    Text Solution

    |

  2. The value of 60 int0^(pi/2) (sin 6x)/(sinx) dx is

    Text Solution

    |

  3. If 1+(2+^49C1+^49C2+. . .+^49C49)("^50C2+^50C4+^50C6+. . .+^50C50)=m.2...

    Text Solution

    |

  4. The differential equation of all the circles passing through the point...

    Text Solution

    |

  5. If tangent drawn from (2,0) to the parabola x=-2y^2 are also tangents ...

    Text Solution

    |

  6. If alpha & beta are the roots of equation x^2-sqrt3 x+sqrt6=0 and 1+1/...

    Text Solution

    |

  7. If 6/(3^12)+10/(3^11)+20/3^10+40/3^9+. . .+10240/3^1=2^m.n then the va...

    Text Solution

    |

  8. If OAB is a triangle park and OP is a vertical tower such that AB=16, ...

    Text Solution

    |

  9. If curve y=f(x) satisfying differential equation dy/dx+(1/(x^2-1))y=((...

    Text Solution

    |

  10. If A and B are two 3xx3 order matrices such that A is symmetric and B ...

    Text Solution

    |

  11. If OA and OB are tangents to circle (x-2)^2+y^2=1 from origin (O) then...

    Text Solution

    |

  12. Consider the following statements P:Ramesh is singing Q:Ramesh is ou...

    Text Solution

    |

  13. If x(t)=2sqrt2 cost sqrt(sin 2t) and y(t)=2sqrt2 sint sqrt(sin 2t), wh...

    Text Solution

    |

  14. There are 4 girls and 6 boys in a class . Three student are selected r...

    Text Solution

    |

  15. Let veca=3hati+hatj , vecb=hati+2hatj+hatk and veca xx (vecb xx vecc)=...

    Text Solution

    |

  16. If lim(x to 0)(alpha e^x +beta e^(-x)+gamma sinx)/(x sin^2x)=2/3, then...

    Text Solution

    |

  17. If A={1,2,. . .,60} and B is relation on A defined as B={(x,y):y=pq ,"...

    Text Solution

    |

  18. A matrix of 3xx3 order, should be filled either by 0 or 1 and sum of a...

    Text Solution

    |

  19. Let a1,a2,a3 , . . . an are in A.P and sum(r=1)^oo a^r/2^r=4, then 4a2...

    Text Solution

    |

  20. If f(x)=3^((x^2-2)^3)+4 and P:f(x) attains maximum value at x=0 Q:f(...

    Text Solution

    |