Home
Class 12
MATHS
If the equation (x/(1+x^2))^2+a(x/(1+x^2...

If the equation `(x/(1+x^2))^2+a(x/(1+x^2))+3=0` has exactly two real roots which are distinct, then the set of possible real values of `a` is `((-13)/2,0)` (b) `(oo,-(13)/2)` `((-13)/2,(13)/2)` (d) `((13)/2,oo)`

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

If the equation sin ^(2) x - k sin x - 3 = 0 has exactly two distinct real roots in [0, pi] , then find the values of k .

If AM of the number 5^(1+x) and 5^(1-x) is 13 then the set of possible real values of x is -

If b^2<2a c , then prove that a x^3+b x^2+c x+d=0 has exactly one real root.

If x^(4) + 2kx^(3) + x^(2) + 2kx + 1 = 0 has exactly tow distinct positive and two distinct negative roots, then find the possible real values of k.

If the equation 2^(2x)+a*2^(x+1)+a+1=0 has roots of opposite sign, then the exhaustive set of real values of a is (a)(−∞,0) (b)(−1,−2/3) (c)(−∞,−2/3) (d)(−1,∞)

The equation (x/(x+1))^2+(x/(x-1))^2=a(a-1) has a. Four real roots if a >2 b.Four real roots if a c. Two real roots if 1 d . No real roots if a<-1

If the roots of the equation x^2-8x+a^2-6a=0 are real distinct, then find all possible value of adot

If the roots of the equation x^2-8x+a^2-6a=0 are real distinct, then find all possible value of adot

Solve the equation 6x^4 -13 x^3 -35 x^2 -x+3=0 given that 2 +sqrt(3) is a root

Show that the equation x^2+a x-4=0 has real and distinct roots for all real values of a .

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The inequality [2-x]+2[x-1]geq0 is satisfied by (where[.] denotes grea...

    Text Solution

    |

  2. Let f(x) satisfy the requirements of Lagrang's mean value theorem in [...

    Text Solution

    |

  3. If the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real ro...

    Text Solution

    |

  4. Circumcentre of triangle A B C, where A(rsinx,rcosx), B (rainy, rcosy...

    Text Solution

    |

  5. An equilateral triangle has each of its sides of length 6 cm. If (x1, ...

    Text Solution

    |

  6. Integrate : int((x+sqrt(1+x^2))^(2009))/(sqrt(1+x^2))dx

    Text Solution

    |

  7. If alpha, beta are the roots of the equation x^(2)+alphax + beta = 0 s...

    Text Solution

    |

  8. Evaluate int(dx)/(tanx+cotx+secx+cosecx).

    Text Solution

    |

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

    Text Solution

    |

  10. Comprehension # 'A ray M is sent along the line (x-0)/2=(y-2)/2=(z-1)...

    Text Solution

    |

  11. Equation of a straight line passing through the origin and making with...

    Text Solution

    |

  12. If the equation of the normal to the curve y=f(x) at x=0 is 3x-y+3=0 t...

    Text Solution

    |

  13. If f(x)=x^4-2x^3+3x^2-a x+b is a polynomial such that when it is divid...

    Text Solution

    |

  14. Let the co-ordinates of the two points A&B be (1, 2) and (7, 5) respec...

    Text Solution

    |

  15. Evaluate: int(x+1)/(x(1+x e^x)^2)dx

    Text Solution

    |

  16. If (log)a b=2,(log)b c=2,a n d(log)3c=3+(log)3a , then the value of c/...

    Text Solution

    |

  17. Number of integral solutions of the equation (log)(x-3)((log)(2"x"^2-2...

    Text Solution

    |

  18. Range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x is (pi/4,(3pi)/4) (b) [pi...

    Text Solution

    |

  19. If the matrix satisfies the equation [[1,-2], [4, 3]]+2x=[[2, 1,-2],[ ...

    Text Solution

    |

  20. Find the range of f(x), where f(x)=cos(sin(In(x^2+e)/(x^2+1)))+sin(cos...

    Text Solution

    |