Home
Class 12
MATHS
The complete set f values of ' a ' for...

The complete set f values of `' a '` for which `(a^2-1)x^2+2(a-1)x+2` is positive for any x are`. `a.a≥1` b. `a ≤ 1` c.`a >-3` d. `a<-3oraa>1`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The complete set of values of a for which the function f(x)=tan^(-1)(x^(2)-18x +a)gt 0 AA x in R is

The complete set of values of x for which 2 tan^(-1)x+cos^(-1)((1-x^(2))/(1+x^(2))) is independent of x is :

The least integral value of ' m ' for which the expression m x^2-4x+3m+1 is positive for every x in R is: 1 b. -2 c. -1 d. 2

The complete set of values of a for which the roots of the equatin x ^(2) -2 |a+1| x +1 =0 are real is given by :

The exhaustive set of values of a for which inequation (a -1)x^2- (a+1)x+ a -1>=0 is true AA x >2 (a) (-oo,1) (b)[7/3,oo) (c) [3/7,oo) (d) none of these

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]

Find the complete set of values of alpha for which the function f(x) = {(x+1,xlt1 alpha , x =1 , is strictly increasing x=1 x^(2)-x+3,xlt1

The set of all values of a for which both roots of equation x^2-2ax+a^2-1=0 lies between -2 and 4 is (A) (-1,2) (B) (1,3) (C) (-1,3) (D) none of these

The number of points at which g(x)=1/(1+2/(f(x))) is not differentiable, where f(x)=1/(1+1/x) , is a. 1 b. 2 c. 3 d. 4

Let f(x)={{:(3x^2-2x+10, x lt 1),(-2,x gt 1):} The set of values of b for which f(x) has greatest value at x=1 is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let vec v1= hat i+ hat j+ hat k & vec v2=a hat i+b hat j+c hat k be tw...

    Text Solution

    |

  2. If f:[0,2pi]vec[-1,1]; y=sin x then which of statement is/are true: y=...

    Text Solution

    |

  3. The complete set f values of ' a ' for which (a^2-1)x^2+2(a-1)x+2 is...

    Text Solution

    |

  4. The straight line passing through the point of intersection of the str...

    Text Solution

    |

  5. A person starts writing numbers from 1 to n in a row such that i^(t h)...

    Text Solution

    |

  6. If theta=pi/3, then the volume of pyramid is 1/(sqrt(3)) (b) 1/(3sqrt...

    Text Solution

    |

  7. Projection of a line segment joining points (-1, 0, 3) and (2, 5, 1) o...

    Text Solution

    |

  8. The chord of contact of tangents from a point P to a circle passes thr...

    Text Solution

    |

  9. Locus of centroid of the triangle whose vertices are (acost ,asint),(b...

    Text Solution

    |

  10. Consider the line L:(x-1)/2=y/1=(z+1)/(-2) and a point A(1, 1, 1). Let...

    Text Solution

    |

  11. If one root of the equation x^(2)-lamdax+12=0 is even prime while x^(2...

    Text Solution

    |

  12. Consider the points P(2,-4);Q(4,-2) and R(7,1). The points P,Q,R

    Text Solution

    |

  13. If plambda^4+qlambda^3+rlambda^2+slambda+t=lambda^2+3lambdalambda-1lam...

    Text Solution

    |

  14. If (4+sqrt(15))^n=I+f,where n is an odd natural number, I is an intege...

    Text Solution

    |

  15. If vec a= hat i+ hat j+ hat k and vec b= hat i-2 hat j+ hat k , then ...

    Text Solution

    |

  16. If lines (x-3)/1=(y-[K])/2=(z-1)/1 and (x-1)/2=(y+1)/3=(z-1)/4 interse...

    Text Solution

    |

  17. If S=1+4/3+9/9+(16)/(27)+oo, then find the value of [S] (where [.] is ...

    Text Solution

    |

  18. If A=[(a,b,c),(b,c,a),(c,a,b)],abc=1,A^(T)A=l, then find the value of ...

    Text Solution

    |

  19. Given four positive numbers in A.P. If 5, 6, 9 and 15 are added resp...

    Text Solution

    |

  20. Number of divisors of 2^5. 3^2 .5^3 which are divisible by 2 but not d...

    Text Solution

    |