Home
Class 12
MATHS
If x^2+a x-3x-(a+2)=0 has real and disti...

If `x^2+a x-3x-(a+2)=0` has real and distinct roots, then the minimum value of `(a^2+1)//(a^2+2)` is `1` b. `0` c. `1/2` d. `1/4`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If x^(2) +ax - 3x-(a+2) = 0 has real and distinct roots, then minimum value of (a^(2)+1)//(a^(2)+2) is

If the roots of 5x^(2)-kx+1=0 are real and distinct then

Let x^(2)-3x+p=0 has two positive roots a and b,then minimum value of (1)/(a)+(1)/(b) is

If x^(2)-4x+log_((1)/(2))a=0 does not have two distinct real roots,then maximum value of a is

If the equation x^(4)+ax^(3)+2x^(2)+bx+1=0 has at least one real root (a ,b in R) then the minimum value of a^(2)+b^(2)

If the equation (x^(2)+a|x|+a+1)(x^(2)+(a+1)|x|+a)=0 has no real root,then the range of values of a is

For all real values of x, the minimum value of (1-x+x^(2))/(1+x+x^(2)) is (A) 0 (B) 1 (B) 3 (D) (1)/(3)

If f(x)={(sin(2x^2)/a+cos((3x)/b))^a b//x^2,x!=0e^3, x=0 is continuous at x=0AAb in R then minimum value of a is -1//8 b. -1//4 c. -1//2 d. 0

If he expression [mx-1+(1/x)] is non- negative for all positive real x, then the minimum value of m must be -1/2 b.0 c.1/4d.1/2

RESONANCE DPP-JEE MAINS-All Questions
  1. Let f(x)=(sin {pi[x-pi]})/(1-[x^(2)]), where [.] stands for the greate...

    Text Solution

    |

  2. if A[{:(5,-3),(111,336):}] and det(-3A^(2013)+A^(2014))=alpha^(alpha)+...

    Text Solution

    |

  3. If x^2+a x-3x-(a+2)=0 has real and distinct roots, then the minimum va...

    Text Solution

    |

  4. If a and b are the solutions of equation log5(log(64)(|x|)-1/2+25^x)=2...

    Text Solution

    |

  5. Tangents are drawn to the circle x^2+y^2=50 from a point "P lying on ...

    Text Solution

    |

  6. The value of int(-pi/2)^(pi/2)1/(e^(sin x)+1) dx equal to

    Text Solution

    |

  7. Show that the function f(x)=3x+ 2 is one-one and onto

    Text Solution

    |

  8. The total number of ordered pairs (x, y) satisfying |y|=cosx and y=si...

    Text Solution

    |

  9. Locus of a point that is equidistant from the lines x+y-2=0a n dx+y-1=...

    Text Solution

    |

  10. If the ellipse x^2/4 + y^2 =1 meets the ellipse x^2 + y^2/a^2 =1 in fo...

    Text Solution

    |

  11. If A is a square matrix such that A(a d j\ A)=[5 0 0 0 5 0 0 0 5] ,...

    Text Solution

    |

  12. A variable circle passes through the fixed point (2, 0) and touches y-...

    Text Solution

    |

  13. If ("lim")(xrarr0)({(a-n)n x-tanx}sinn x)/(x^2)=0, where n is no...

    Text Solution

    |

  14. If a matrix A is such that 3A^3 +2A^2+5A+I= 0, then A^(-1) is equal to

    Text Solution

    |

  15. From point P(4,0) tangents PA and PB are drawn to the circle S: x^2+y^...

    Text Solution

    |

  16. The coordinates of the point on the curve x^(3)=y(x-a)^(2) where the o...

    Text Solution

    |

  17. Value of [log(e^3)5^8 - log(e^3)2^8] equals to

    Text Solution

    |

  18. Let P1 denote the equation of a plane to which the vector ( hat i+...

    Text Solution

    |

  19. Find the name of the conic represented by sqrt((x/a))+sqrt((y/b))=1.

    Text Solution

    |

  20. intsqrt((cosx-cos^3x)/(1-cos^3x))dxi se q u a lto 2/3sin^(-1)(cos^(3...

    Text Solution

    |