Home
Class 11
MATHS
If the equation 4x^2-x-1=0 and 3x^2+(la...

If the equation `4x^2-x-1=0 and 3x^2+(lambda+mu)x+lambda-mu=0` have a root common, then the irrational values of `lambda and mu` are (a) `lambda=(-3)/4` b. `lambda=0` c. `mu=3/4` b.`mu=0`

Text Solution

AI Generated Solution

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

If the equation x ^2+2(lambda+1)x+lambda^2+lambda+7=0 has only negative roots, then the least value of lambda equals__________.

If the equation x^2+(lambda+mu)x y+lambdau y^2+x+muy=0 represents two parallel straight lines, then prove that lambda=mu .

If the equation x^2+(lambda+mu)x y+lambdau y^2+x+muy=0 represents two parallel straight lines, then prove that lambda=mu .

If the lines x - 2y - 6 = 0 , 3x + y - 4=0 and lambda x +4y + lambda^(2) = 0 are concurrent , then value of lambda is

If the equations x^(2) + 2x + 3 lambda =0 and 2x^(2) + 3x + 5 lambda = 0 have a non- zero common roots. then lambda = (a)1 (b)-1 (c)3 (d)None of these

If the equations x^2+2x+3lambda=0 and 2x^2+3x+5lambda=0 have a non-zero common roots, then lambda= (a) 1 (b) -1 (c) 3 (d) none of these

If the equation x^2+(lambda+mu)x y+lambdau y^2+x+muy=0 represents two parallel straight lines, then prove that lambda=mudot

If the equation x^(3)-6x^(2)+9x+lambda=0 has exactly one root in (1, 3), then lambda belongs to the interval

if mu_21 is 1.5, then find the value of lambda_1/lambda_2.

If the system of equations x+y+z=6, x+2y+lambdaz=10 and x+2y+3z=mu has infinite solutions, then the value of lambda+2mu is equal to

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. The value of sum(n=1)^(13) (i^n+i^(n+1)), where i =sqrt(-1) equals (...

    Text Solution

    |

  2. If c!=0 and the equation p//(2x)=a//(x+c)+b//(x-c) has two equal roo...

    Text Solution

    |

  3. If the equation 4x^2-x-1=0 and 3x^2+(lambda+mu)x+lambda-mu=0 have a r...

    Text Solution

    |

  4. Express the following in a+i b form: ((cos2theta-isin2theta)^4(cos4...

    Text Solution

    |

  5. The roots of the equation t^3+3a t^2+3b t+c=0a r ez1, z2, z3 which rep...

    Text Solution

    |

  6. Solve the equation (x-1)^3+8=0 in the set C of all complex numbers.

    Text Solution

    |

  7. If 'z, lies on the circle |z-2i|=2sqrt2, then the value of arg((z...

    Text Solution

    |

  8. If the equation whose roots are the squares of the roots of the cubic ...

    Text Solution

    |

  9. If sqrt(3)+i=(a+i b)(c+i d) , then find the value of tan^(-1)(b//a)+ta...

    Text Solution

    |

  10. P(z) be a variable point in the Argand plane such that |z|=minimum {|z...

    Text Solution

    |

  11. If the equation a x^2+b x+c=0,a ,b ,c , in R have none-real roots, t...

    Text Solution

    |

  12. Prove that the equation Z^3+i Z-1=0 has no real roots.

    Text Solution

    |

  13. The locus of point z satisfying R e(1/z)=k , where k is a non zero re...

    Text Solution

    |

  14. If p(q-r)x^2+q(r-p)x+r(p-q)=0 has equal roots, then prove that 2/q=1/p...

    Text Solution

    |

  15. Find the square root 9+40 idot

    Text Solution

    |

  16. Let alpha,beta in Rdot If alpha,beta^2 are the roots of quadratic e...

    Text Solution

    |

  17. Let a be a complex number such that |a|<1a n dz1, z2,z3,... be the ve...

    Text Solution

    |

  18. Let lambda in R . If the origin and the non-real roots of 2z^2+2z+lam...

    Text Solution

    |

  19. If the ratio of the roots of the equation x^2+p x+q=0 are equal to rat...

    Text Solution

    |

  20. Let z=1-t+isqrt(t^2+t+2), where t is a real parameter.the locus of the...

    Text Solution

    |