Home
Class 12
MATHS
Let ax^(2)+a^(2)x+2=0 be a quadratic equ...

Let `ax^(2)+a^(2)x+2=0` be a quadratic equation, `a in R` and S be the set of values of a for which roots of this equation are imaginary or equal, then answer the following questions:
number of integral values of a in set S is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos
  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

Let ax^(2)+a^(2)x+2=0 be a quadratic equation, a in R and S be the set of values of a for which roots of this equation are imaginary or equal, then answer the following questions: If alpha and beta are sum and product of roots of the given equation respectivelty, then (-alpha beta) is

Let 4x^(2)-4(alpha-2)x + alpha-2=0(alpha in R) be a quadratic equation. Find the values of alpha for which Both the roots are imaginary

Let (sin a) x^(2) + (sin a) x + 1 - cos a = 0 . The set of values of a for which roots of this equation are real and distinct, is

Find the set of all values of a for which the roots of the equation x^(2)-2ax+a^(2)+a-3=0 are less than 3

Let x^(2)-(m-3)x+m=0(m in R) be a a quadratic equation.Find the value of m for which the roots

The set of values of 'a' for which the roots of the equation (a-3)x^(2) - 2ax + 5a = 0 are positive, is

Write the set of values of a'a' for which the equation x^(2)+ax-1=0 has real roots.

Let 4x^(2)-4(alpha-2)x + alpha-2=0(alpha in R) be a quadratic equation. Find the values of alpha for which Both the roots are equal

Let S denotes the set of real values of 'a' for which the roots of the equation x^2-ax-a^2 = 0 exceeds 'a', then S equals to

The set of values of k for which roots of the equation x^(2) - 3x + k = 0 lie in the interval (0, 2), is

RESONANCE-DPP-QUESTION
  1. If Xuu{1,2}={1,2,3,5,9}, then :

    Text Solution

    |

  2. If sqrt((1-sinA)/(1+sinA))+(sinA)/(cosA)=(1)/(cosA), for all permissib...

    Text Solution

    |

  3. Let ax^(2)+a^(2)x+2=0 be a quadratic equation, a in R and S be the set...

    Text Solution

    |

  4. Let ax^(2)+a^(2)x+2=0 be a quadratic equation, a in R and S be the set...

    Text Solution

    |

  5. The arithmetic mean of the nine number in the given set {9,99,999, ......

    Text Solution

    |

  6. If a, b and c are in AP and if the equations (b-c)x^2 + (c -a)x+(a-b)=...

    Text Solution

    |

  7. Solve :(tanx-(1)/(sqrt3))(cosx-(1)/(2))le0.

    Text Solution

    |

  8. Find the least positive x in degree for which tan x= (cos5^(@)cos20^...

    Text Solution

    |

  9. Find the exact value of cosec"10"^(@)+"cosec"50^(@)-"cosec"70^(@)

    Text Solution

    |

  10. Suppose alpha, beta, gammaand delta are the interior angles of regula...

    Text Solution

    |

  11. If y=1costheta+2cos2theta+3cos3theta++99 cos 99theta , the maximum val...

    Text Solution

    |

  12. Let alpha,beta,gamma and delta are four positive real numbers such tha...

    Text Solution

    |

  13. If the sum of the series S=1+5/11+12/((11)^2)+22/((11)^3)+35/((11)^4)+...

    Text Solution

    |

  14. Let [x] denote the greatest integer part of a real number x, if M sum(...

    Text Solution

    |

  15. Then sum sum(r=1)^(50) r.(2^(r)+2^(50-r)) equals

    Text Solution

    |

  16. lf abcd=1 where a,b,c,d are positive reals then the minimum value of ...

    Text Solution

    |

  17. Solve for x:log(2)(sin""(x)/(2))lt-1

    Text Solution

    |

  18. Suppose that P(x) is a quadratic polynomial such that P(0)=cos^3 40^@,...

    Text Solution

    |

  19. Let y=ax^2+ bx + c be a quadratic expression having its vertex at (3,-...

    Text Solution

    |

  20. Let y=ax^(2)+bx+c be a quadratic expression have its vertex at (3-2) a...

    Text Solution

    |