Home
Class 11
MATHS
The range of a for which the equation x^...

The range of `a` for which the equation `x^2+ax-4=0` has its smaller root in the interval `(-1,2)i s ` a. `(-oo,-3)` b. `(0,3)` c. `(0,oo)` d. `(-oo,-3)uu(0,oo)`

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

Th range of k for which the inequaliity kcos^2x-kcosx+1>=0 AA x in(-oo,oo) is

Th range of k for which the inequaliity kcos^2x-kcosx+1>=0 AA x in(-oo,oo) is

The set of all values of ' a ' for which the quadratic equation 3x^2+2(a^2-3a+2)=0 possess roots of opposite sign, is a. (-oo,1) b. (-oo,0) c. (1,2) d. (3//2,2)

For x^2-(a+3)|x|+4=0 to have real solutions, the range of a is a. (-oo,-7]uu[1,oo) b. (-3,oo) c. (-oo,-7) d. [1,oo)

Find the set of values of a for which the equation |x-1|^2+(a-1)|x-1|+1=0 has a solution, [2,5] b. [-3,-1] c. [0,oo) d. (-oo,-1]

The range of the function f(x)=|x-1| is A. (-oo,0) B. [0,oo) C. (0,oo) D. R

If the difference between the roots of the equation x^(2)+ax+1=0 is less than sqrt(5) , then the set of possible values of a is (i) (3,oo) (ii) (-oo,-3) (iii) (-3,3) (iv) (-3,oo)

If the difference between the roots of the equation x^2+""a x""+""1""=""0 is less than sqrt(5) , then the set of possible values of a is (1) (-3,""3) (2) (-3,oo) (3) (3,oo) (4) (-oo,-3)

For x^2-(a+3)|x|-4=0 to have real solutions, the range of a is a) (-oo,-7]uu[1,oo) b) (-3,oo) c) (-oo,-7] d) [1,oo)

The complete set of values of a so that equation sin^4 x+ a sin^2 x+ 4=0 has at least one real root is (A) (- oo, -5] (B) (- oo , 4] uu [ 4, oo) (C) (-oo, -4] (D) [4, oo)

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Column I, Column II (Locus) parallelogram, p. z1-z4=z2-z3 rectang...

    Text Solution

    |

  2. The interval of a for which the equation t a n^2x-(a-4)tanx+4-2a=0 has...

    Text Solution

    |

  3. The range of a for which the equation x^2+ax-4=0 has its smaller root ...

    Text Solution

    |

  4. Let z and omega be two complex numbers such that |z|lt=1,|omega|lt=1 ...

    Text Solution

    |

  5. Consider the equation x^2+2x-n=0 where n in N and n in [5,100] The t...

    Text Solution

    |

  6. If n1, n2 are positive integers, then (1 + i)^(n1) + ( 1 + i^3)^(n1) +...

    Text Solution

    |

  7. The total number of values a so that x^2-x-a=0 has integral roots, wh...

    Text Solution

    |

  8. If i=sqrt-1, then 4+5(-1/2+(isqrt3)/2)^334+3(-1/2+(isqrt3)/2)^365 is e...

    Text Solution

    |

  9. Let P(x)=x^3-8x^2+c x-d be a polynomial with real coefficients and wi...

    Text Solution

    |

  10. If a r g(z)<0, then a r g(-z)-"a r g"(z) equals pi (b) -pi (d) -pi/2...

    Text Solution

    |

  11. Let P(x)=5/3-6x-9x^2a n dQ(y)=-4y^2+4y+(13)/2dot if there exists uniq...

    Text Solution

    |

  12. If z1,z2, z3 are complex numbers such that |z1|=|z2|=|z3|=|1/z1+1/z2+1...

    Text Solution

    |

  13. if a lt c lt b, then check the nature of roots of the equation (a ...

    Text Solution

    |

  14. Q. Let z1 and z2 be nth roots of unity which subtend a right angle at...

    Text Solution

    |

  15. If a+b+c=0 then check the nature of roots of the equation 4a x^2+3b x+...

    Text Solution

    |

  16. The complex numbers z1, z2 and z3 satisfying (z1-z3)/(z2-z3) =(1- i sq...

    Text Solution

    |

  17. Find the value of a for which the sum of the squares of the roots of t...

    Text Solution

    |

  18. For all complex numbers z1,z2 satisfying |z1|=12 and |z2-3-4i|=5, fin...

    Text Solution

    |

  19. If x1, a n dx2 are the roots of x^2+(sintheta-1)x-1/2(cos^2theta)=0, ...

    Text Solution

    |

  20. If y="sec"(tan^(-1)x),t h e n(dy)/(dx)a tx=1 is (a)cospi/4 (b) sinp...

    Text Solution

    |