Home
Class 11
MATHS
Find the value of 'k' for which the foll...

Find the value of 'k' for which the following set of quadratic equations has exactly one common root, `x^(2)-kx+10=0andx^(2)+kx-18=0.`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    RESONANCE DPP ENGLISH|Exercise All Questions|3 Videos

  • CONIC SECTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|25 Videos

Similar Questions

Explore conceptually related problems

Find the value of k for which the quadratic equation 3x^2+kx+3=0 has real and equal roots.

Write the value of k for which the quadratic equation x^2-k x+4=0 has equal roots.

Find the value of k for which the quadratic equation (k+4)x^2+(k+1)x+1=0 has equal roots

Find the value(s) of k for which the given quadratic equations has real and distinct roots : (i) 2x^(2)+kx+4=0 (ii) 4x^(2)-3kx+1=0 (iii) kx^(2)+6x+1=0 (iv) x^(2)-kx+9=0

Values of k for which the quadratic equation 2x ^2+kx+k=0 has equal roots.

Find the values of k for which the following equation has equal roots: (k-12)x^2+2(k-12)x+2=0

Find the value of k for which the following equation has equal roots : x^(2)+4kx+(k^(2)-k+2)=0

Find the value of k for which x=2 is a solution of the equation kx^2+2x-3=0

Find the value(s) of k for which the quadratic equation x^(2) + 2sqrt(2)kx + 18 = 0 has equal roots.

find the values k for which the quadratic equation 2x^2 + Kx +3=0 has two real equal roots

RESONANCE DPP ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If a, b c are real numbers satisfying the condition a+b+c=0 then the r...

    Text Solution

    |

  2. Find the value of 'k' for which the following set of quadratic equatio...

    Text Solution

    |

  3. The least integral value of ' a ' for which the graphs y=2a x+1 and y=...

    Text Solution

    |

  4. If alpha,betagamma are the roots of the equation x^3+px^2+qx+r=0, then...

    Text Solution

    |

  5. if (x-a)(x-5)+2=0 has only integral roots where a in I , then value o...

    Text Solution

    |

  6. If alpha, beta gamma are the real roots of the equation x^(3)-3px^(2)+...

    Text Solution

    |

  7. Find all values of p for which the roots of the equation (p-3)x^2-2px+...

    Text Solution

    |

  8. If z1, z2, z3 are distinct nonzero complex numbers and a ,b , c in R^...

    Text Solution

    |

  9. Let z be a complex number satisfying |z-1| le |z-3|, |z-3| le |z-5|, ...

    Text Solution

    |

  10. If a^3+b^3+6a b c=8c^3 & omega is a cube root of unity then: (a)a , b ...

    Text Solution

    |

  11. The image of a complex number z in the imaginary axis is (A) z (...

    Text Solution

    |

  12. If z1,z2,z3 are the vertices of the A B C on the complex plane and ar...

    Text Solution

    |

  13. If 2x=-1+sqrt(3)i , then the value of (1-x^2+x)^6-(1-x+x^2)^6 is 32 (b...

    Text Solution

    |

  14. if iz^(3) +z^(2) -z+i=0 , then show that |z| =1.

    Text Solution

    |

  15. Number of roots which are common to the equations x^3+2x^2+2x+1=0 and ...

    Text Solution

    |

  16. If z1,z2,z3,z4 be the vertices of a parallelogram taken in anticlockwi...

    Text Solution

    |

  17. about to only mathematics

    Text Solution

    |

  18. The greatest value of the modulus of the complex number ' z ' satisfyi...

    Text Solution

    |

  19. The set of points in an Argand diagram which satisfy both abs(z)le4 an...

    Text Solution

    |

  20. The number of solutions of z^3+ z =0 is (a) 2 (b) 3 (c) 4 (d) 5

    Text Solution

    |