Home
Class 12
MATHS
If .^36C(r+1) xx (k^2-3) = 6 xx .^35Cr ...

If `.^36C_(r+1) xx (k^2-3) = 6 xx .^35C_r ` , then number of ordered pairs (r, k) are (where `kinI`).

A

4

B

6

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
`A`
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise MATH|25 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|3 Videos

  • JEE MAIN 2021

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

Similar Questions

Explore conceptually related problems

If (n-1)C_(r)=(k^(2)-3)nC_(r+1), then k belong to

If a_1,a_2,...,a_(10) are in G.P, where a_igt0 and S is a set of ordered pairs (r,k) such that [[lna_1^ra_2^k,lna_2^ra_3^k,lna_3^ra_4^k],[lna_4^ra_5^k,lna_5^ra_6^k,lna_6^ra_7^k],[lna_7^ra_8^k,lna_8^ra_9^k,lna_9^ra_(10)^k]]=0, then number of pairs (r,k) is (a) infinitely many (b) 1 (c) 5 (d) 3

The number of ordered pairs (r, k) for which 6(""^(35)C_(r))=(k^(2)-3)(""^(36)C_(r+1)) , where k is an integer, is:

If C((n-1),r)=(k^(2)-3)C(n,(r+1)) then range of k is

"^(n-1)C_r=(k^2-8)^(n)C_(r+1) then k is

If the number of ordered pairs (a,b) where a,b in R such that (a+ib)^(5015)=(a-ib)^(3) is k , then the unit digit of k is equal to________

JEE MAINS PREVIOUS YEAR-JEE MAIN-MATHEMATICS
  1. Let A, B, C and D be four non-empty sets. The contrapositive statement...

    Text Solution

    |

  2. Let f(x) be a polynomial of degree 5 such that x = pm 1 are its critic...

    Text Solution

    |

  3. If .^36C(r+1) xx (k^2-3) = 6 xx .^35Cr , then number of ordered pairs...

    Text Solution

    |

  4. If vec a,vec b , vec c are unit vectors such that veca + vec b+ vecc =...

    Text Solution

    |

  5. If z = (3+isintheta)/(4-icostheta) is purely real and theta in (pi/2,p...

    Text Solution

    |

  6. 3x + 4y = 12 sqrt2 is the tangent to the ellipse x^2/a^2 + y^2/9 = 1 t...

    Text Solution

    |

  7. The value of alpha for which 4alphaint(-1)^(2)e^(-alpha|x|)dx=5 is :

    Text Solution

    |

  8. Let alpha and beta are the roots of x^2 – x – 1 = 0 such that Pk = alp...

    Text Solution

    |

  9. Let A = [a(ij)], B=[b(ij)] are two 3 × 3 matrices such that b(ij) = la...

    Text Solution

    |

  10. From any point P on the line x = 2y perpendicular is drawn on y = x. L...

    Text Solution

    |

  11. Let a(1), a(2), a(3), … be a G. P. such that a(1)lt0, a(1)+a(2)=4 and ...

    Text Solution

    |

  12. if y sqrt(1-x^2) = k - x sqrt(1-y^2) and y(1/2) = -1/4, then (dy)/(dx...

    Text Solution

    |

  13. Coefficient of x^7 in (1 + x)^10 + x(1 + x)^9 + x^2 (1 + x)^8+………..+x^...

    Text Solution

    |

  14. If Q(5/3,7/3,17,3) is foot of perpendicular drawn from P(1, 0, 3) on a...

    Text Solution

    |

  15. If system of equation x + y + z = 6 x + 2y + 3z = 10 3x + 2y + l...

    Text Solution

    |

  16. If the mean and variance of eight numbers 3, 7, 9, 12, 13, 20, x and y...

    Text Solution

    |

  17. Let X = {x : 1 le x le 50, x in N} A = {x: x is multiple of 2} B = {...

    Text Solution

    |

  18. If F(x) is defined in x in (-1/3,1/3) f(x) = {((1/x)loge((1+3x)/(1-2...

    Text Solution

    |

  19. Let ABC is a triangle whose vertices are A(1, –1), B(0, 2), C(x', y') ...

    Text Solution

    |

  20. Let P(A) = 1/3 , P(B) = 1/6 where A and B are independent events then

    Text Solution

    |