Home
Class 11
MATHS
The number of value of k for which [x^2...

The number of value of `k` for which `[x^2-(k-2)x+k^2]xx""[x^2+k x+(2k-1)]` is a perfect square is a.`2` b. `1` c. `0` d. none of these

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

Find the values of k for which |(x^2+k x+1)/(x^2+x+1)|<2,AAx in R

The number of integral values of k for which the equation sin^(-1)x+tan^(-1)x=2k+1 has a solution is

Find the number of positive integral values of k for which kx ^(2) +(k-3)x+1 lt 0 for atleast one positive x.

Determine the value of k for which x+2 is a factor of (x+1)^7+(2x+k)^3dot

Determine the value of k for which x-1 is a factor of (x^2 +1)+(x+k)dot

The number of values of k for which the equation x^(2)-3x+k=0 has two distinct roots lying in the interval ( 0 , 1 ) are

Let's find, for which value of k, will the expression c^2 + kcfrac(1)(2) +frac(1)(4) be a perfect square.

The number of values of k for which the system of the equations (k+1)x+8y=4k and k x+(k+3)y=3k-1 has infinitely many solutions is 0 b. 1 c. 2 d. infinite

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Let r ,s ,a n dt be the roots of equation 8x^3+1001 x+2008=0. Then f...

    Text Solution

    |

  2. Given z is a complex number with modulus 1. Then the equation [(1+i a)...

    Text Solution

    |

  3. The number of value of k for which [x^2-(k-2)x+k^2]xx""[x^2+k x+(2k-1...

    Text Solution

    |

  4. For any complex number z prove that |R e(z)|+|I m(z)|<=sqrt(2)|z|

    Text Solution

    |

  5. The point z1=3+sqrt(3)i and z2=2sqrt(3)+6i are given on a complex plan...

    Text Solution

    |

  6. The total number of integral values of a so that x^2 +ax+a+1=0 has int...

    Text Solution

    |

  7. If w=z/[z-1/(3i)] and |w|=1, then find the locus of z

    Text Solution

    |

  8. Let C1and C2 be two circles with C2 lying inside C1 A circle C lying i...

    Text Solution

    |

  9. The number of positive integral solutions of x^4-y^4=3789108 is a.0 ...

    Text Solution

    |

  10. The region of argand diagram defined by |z-1|+|z+1|<=4 (1) interior o...

    Text Solution

    |

  11. z1, z2, z3,z4 are distinct complex numbers representing the vertices o...

    Text Solution

    |

  12. If alpha,beta are the roots of x^2+p x+q=0a n dx^(2n)+p^n x^n+q^n=0a n...

    Text Solution

    |

  13. If (log)(sqrt(3))((|z|^2-|z|+1)/(2+|z|))>2, then locate the region in ...

    Text Solution

    |

  14. If z=((1+isqrt3)^2)/(4i(1-isqrt3)) is a complex number then a. arg(...

    Text Solution

    |

  15. If alpha,beta,gamma are such that alpha+beta+gamma=2,""alpha^2+beta^2+...

    Text Solution

    |

  16. If z=3/(2+costheta+isintheta) then show that z lies on a circle in the...

    Text Solution

    |

  17. If z=x +i y such that |z+1|=|z-1| and arg((z-1)/(z+1))=pi/4 , then fin...

    Text Solution

    |

  18. If x y=2(x+y),xlt=y and x ,y in N , then the number of solutions of t...

    Text Solution

    |

  19. If I m((z-1)/(e^(thetai))+(e^(thetai))/(z-1))=0 , then find the locus ...

    Text Solution

    |

  20. If pa n dq are distinct prime numbers, then the number of distinct im...

    Text Solution

    |