Home
Class 11
MATHS
If x is real, then x//(x^2-5x+9) lies be...

If `x` is real, then `x//(x^2-5x+9)` lies between `-1a n d-1//11` b. `1a n d-1//11` c. `1a n d1//11` d. none of these

A

AP

B

GP

C

HP

D

None of these

Text Solution

AI Generated Solution

To solve the problem, we need to determine the range of the expression \( y = \frac{x}{x^2 - 5x + 9} \) for real values of \( x \). ### Step-by-step Solution: 1. **Define the Expression**: Let \( y = \frac{x}{x^2 - 5x + 9} \). 2. **Rearranging the Equation**: ...
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos

  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

In the expansion of [(1+x)//(1-x)]^2, the coefficient of x^n will be a. 4n b. 4n-3 c. 4n+1 d. none of these

If a ,b , a n dc are in G.P. and x ,y , respectively, are the arithmetic means between a ,b ,a n db ,c , then the value of a/x+c/y is 1 b. 2 c. 1//2 d. none of these

If a ,b , a n dc are in G.P. and x ,y , respectively, are the arithmetic means between a ,b ,a n db ,c , then the value of a/x+c/y is 1 b. 2 c. 1//2 d. none of these

tan^(-1)(1/(11))+tan^(-1)(2/(11)) is equal to (a) 0 (b) 1//2 (c) -1 (d) none of these

The sum of 1+n(1-1/x)+(n(n+1))/(2!)(1-1/x)^2+oo will be a. x^n b. x^(-n) c. (1-1/x)^n d. none of these

A\ (6,3),\ B(-3,5),\ C(4,-2)\ a n d\ D(x ,3x) are four points. If Delta' D B C :'Delta'A B C=1:2, then x is equal to a. 11/8 b. 8/11 c. 3 d. none of these

If |(x^n ,x^(n+2), x^(2n)),(1, x^a, a), (x^(n+5), x^(a+6), x^(2n+5))|=0,AAx in R ,w h e r en in N , then value of a is n b. n-1 c. n+1 d. none of these

If the largest interval to which x belongs so that the greatest therm in (1+x)^(2n) has the greatest coefficient is (10/11, 11/10) then n= (A) 9 (B) 10 (C) 11 (D) none of these

The n^(t h) term of the sequence 5+55+555+... is a. 5xx10^(n-1) b. 5xx11^(n-1) c. 5/9(10^n-1) d. none of these

The value of (lim)_(x->oo)(n !)/((n+1)!-(n)!) is a. 1 b . -1 c. 0 d. none of these

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If f(x)=a x^2+b x+c ,g(x)=-a x^2+b x+c ,where ac!=0, then prove that f...

    Text Solution

    |

  2. Find the real numbers x and y if (x-i y)(3+5i) is the conjugate of ...

    Text Solution

    |

  3. If x is real, then x//(x^2-5x+9) lies between -1a n d-1//11 b. 1a n d-...

    Text Solution

    |

  4. Find the least positive integer n such that ((2i)/(1+i))^n is a positi...

    Text Solution

    |

  5. Set of all real value of a such that f(x)=((2a-1)x^2+2(a+1)x+(2a-1))/(...

    Text Solution

    |

  6. Find the real part of e^e^(itheta)

    Text Solution

    |

  7. If alpha, beta and gamma are the roots of x^3 - x^2-1 = 0, then value ...

    Text Solution

    |

  8. Prove that z=i^i, where i=sqrt-1, is purely real.

    Text Solution

    |

  9. If alpha,beta,gamma,delta are the roots of the equation x^4-K x^3+K x...

    Text Solution

    |

  10. In A B C ,A(z1),B(z2),a n dC(z3) are inscribed in the circle |z|=5. I...

    Text Solution

    |

  11. Suppose that f(x) is a quadratic expresson positive for all real xdot ...

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. Let f(x)=ax^2-bx+c^2, b != 0 and f(x) != 0 for all x ∈ R. Then (a) ...

    Text Solution

    |

  14. If n is n odd integer that is greater than or equal to 3 but not a mul...

    Text Solution

    |

  15. If a ,b in R ,a!=0 and the quadratic equation a x^2-b x+1=0 has imagi...

    Text Solution

    |

  16. Find the complex number omega satisfying the equation z^3=8i and lyi...

    Text Solution

    |

  17. If the expression [m x-1+(1//x)] is non-negative for all positive real...

    Text Solution

    |

  18. When the polynomial 5x^3+M x+N is divided by x^2+x+1, the remainder is...

    Text Solution

    |

  19. x1 and x2 are the roots of a x^2+b x+c=0 and x1x2<0. Roots of x1(x-x2)...

    Text Solution

    |

  20. ifomegaa n domega^2 are the nonreal cube roots of unity and [1//(a+ome...

    Text Solution

    |