Home
Class 14
MATHS
If x(x-1)(x-2)(x-3) + 1 = k^(2) then wh...

If `x(x-1)(x-2)(x-3) + 1 = k^(2)` then which one of the following is a possible expression for k ?

A

`x^(2)-3x+1`

B

`x^(2)-3x-1`

C

`x^(2)+3x-1`

D

`x^(2)-2x-1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SURDS & INDICES

    GAGAN PRATAP |Exercise Surds & Indices (Sheet-2)|64 Videos

  • SIMPLE INTEREST (SI)

    GAGAN PRATAP |Exercise MULTIPLE CHOICE QUESTION|92 Videos

  • TIME & WORK

    GAGAN PRATAP |Exercise TIME & WORK (SHEET-3)|23 Videos

Similar Questions

Explore conceptually related problems

If int_(1)^(2) {K^(2) + (4-4K)x+4x^(3)} dx le 12 , then which one of the following is correct ?

If the expression 6x^(2)+13x+k is divisible by 2x + 3 . Then which of the following is the factor of the expression ?

If exactly one root of the quadratic equation x^(2)-(k+(11)/(3))x-(k^(2)+k+1)=0 lies in (0,3) then which one of the following relation is correct?

If (1+x)(1+2x)(1+3x)((1+x)(1+2x)(1+3x))/((1-x)(1-2x)(1-3x))=K+(A)/(1-x)+(B)/(1-2x)+(C)/(1-3x) Then which of the following is correct?

The equation (x+y+1)^(2)+k(x^(2)+y^(2)+1)=0 represents two straight lines then one of the possible values of k is

Let g:R rarr(0,(pi)/(3)) be defined by g(x)=cos^(-1)((x^(2)-k)/(1+x^(2))). Then find the possible values of k for which g is a surjective function.

If (x +1) (x +2) (x +3) (x + k) + 1 is a perfect square, then the value of k is

Let f:""RrarrR be defined by f(x)={(k-2x , if xle-1),( 2x+3, if x gt-1):} . If f has a local minimum at x""=""-1 , then a possible value of k is

If quad f(x)=(2)/(sqrt(3))tan^(-1)((2x+1)/(sqrt(3)))-ln(x^(2)+x+1)+(k^(2)-5k+3)x+10 is a decreasing function for all x in R .then possible value of k is

GAGAN PRATAP -SURDS & INDICES-Surds & Indices (Sheet-2)
  1. Which of the following statements (s) is/are TRUE ? I. sqrt(11)+sqrt...

    Text Solution

    |

  2. Which of the following relation is CORRECT? I. (sqrt(15) + sqrt(7)) ...

    Text Solution

    |

  3. Which is the greatest among (sqrt15-sqrt10),(sqrt19-sqrt6),(sqrt18-sqr...

    Text Solution

    |

  4. Which is the greatest among (sqrt17-sqrt14),(sqrt19-4),(sqrt22-sqrt19)...

    Text Solution

    |

  5. Which one among the following is the smallest?

    Text Solution

    |

  6. Which of the following statements(s) / are TRUE ? I. 33^(3) gt 3^(33...

    Text Solution

    |

  7. Which of the following is TRUE ? I. root3(11) gt sqrt(7) gt root4(45...

    Text Solution

    |

  8. What of the following statement(s) is/are true? I. (65)^(1//6)> (17...

    Text Solution

    |

  9. Which of the following is TRUE? I. (1)/(root(3)(12))gt(1)/(root(4)(2...

    Text Solution

    |

  10. While multiplying three real numbers, Ashok took one of the numbers as...

    Text Solution

    |

  11. The ascending order of (2.89)^(0.5) , 2-(0.5)^2 , sqrt3 and root(3)(0....

    Text Solution

    |

  12. Which of the following statements is/are TRUE ? I. sqrt(121)+sqrt(1...

    Text Solution

    |

  13. Find the value of x, if 16^(sqrtx)+63^(sqrtx)=65^(sqrtx).

    Text Solution

    |

  14. Find the value of x, if 12^(sqrt(x))+12^(sqrt(x))+21^(sqrt(x))=29^(sqr...

    Text Solution

    |

  15. The value of sqrt(21+root(3)(59+sqrt(16+root(3)(722+sqrt(49))))) is-

    Text Solution

    |

  16. {([(1.331)^(-1)+(1.331)^(-2)+.....+(1.331)^(-6)])/([(1.331)^(-2)+(1.33...

    Text Solution

    |

  17. If a^(x)=sqrtb,b^(y)=root(3)c,c^(z)=sqrta, then find xyz=?

    Text Solution

    |

  18. sqrt(423xx424xx425xx426+1) is ?

    Text Solution

    |

  19. If (x-2a)(x-5a)(x-8a)(x-11a)+ka^(4) is partfect square then k=?

    Text Solution

    |

  20. If x(x-1)(x-2)(x-3) + 1 = k^(2) then which one of the following is a ...

    Text Solution

    |