Home
Class 12
MATHS
If a ,b , in {1,2,3,4} and ax^2+b x+1=0...

If `a ,b , in {1,2,3,4}` and `ax^2+b x+1=0` has real roots then a.`ageqb` b. `alt=b` c. number of possible ordered pairs of `(a ,b)` is7 d. `3b-2ageq0`

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 a ,b in {1,2,3,4} and a x^2+b x+1=0 has real roots then number of possible ordered pairs of (a , b) is (a)6(b) 7 (c) 10 (d) 12

Given that a x^2+b x+c=0 has no real roots and a+b+c 0 d. c=0

Given that a x^2+b x+c=0 has no real roots and a+b+c 0 d. c=0

Given a,b, c are three distinct real numbers satisfying the inequality a-2b+4c gt0 and the equation ax ^(2) + bx +c =0 has no real roots. Then the possible value (s) of (4a +2b+c)/(a+3b+9c) is/are:

If the equation a x^2+2b x-3c=0 has no real roots and ((3c)/4) 0 c=0 (d) None of these

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

If a and b are positive numbers and eah of the equations x^2+a x+2b=0 and x^2+2b x+a=0 has real roots, then the smallest possible value of (a+b) is_________.

If the equation x^(3) + ax^(2) + b = 0, b ne 0 has a root of order 2, then

If 16x^4-32x^3+ax^2+bx+1=0 , a,b in R has positive real roots only, then a-b is equal to :

If 16 x^(4) -32x ^(3) + ax ^(2) +bx + 1=0, a,b,in R has positive real roots only, then |b-a| is equal to :

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. How many integeral solutions are there to the system of equations x(1)...

    Text Solution

    |

  2. The sum of all integral values of 'a' for which the equation 2x ^(2) -...

    Text Solution

    |

  3. If a ,b , in {1,2,3,4} and ax^2+b x+1=0 has real roots then a.ageqb ...

    Text Solution

    |

  4. If f(x) = x^11 + sin^3(35x) + 111x, then the value of f^(-1)(sin (pi/5...

    Text Solution

    |

  5. Consider the function f defined by f(x)={[0,x=0 or x is irrational],[...

    Text Solution

    |

  6. What is the coefficient of x^(100) in the expansion of (1+x+x^2+x^3+.....

    Text Solution

    |

  7. If equation f(x)=x^4-a x^3+b x^2-c x+420 have all roots integer and gr...

    Text Solution

    |

  8. A circle with centre 'P' is tangent to negative x and y axis and exter...

    Text Solution

    |

  9. If [.] denotes greatest integer function and x in (0,20), then the num...

    Text Solution

    |

  10. If the A.M. of two positive numbers aa n db(a > b) is twice their geom...

    Text Solution

    |

  11. If both A-1/2Ia n dA+1/2 are orthogonal matices, then A is orthogonal ...

    Text Solution

    |

  12. How many times digit 5 appears in writing natural numbers from 1 to 10...

    Text Solution

    |

  13. If the roots x^5-40 x^4+P x^3+Q x^2+R x+S=0 are n G.P. and the sum of ...

    Text Solution

    |

  14. If for the function f(x)=1/4x^2+b x+10 ;f(12-x)=f(x)AAx in R , then t...

    Text Solution

    |

  15. The value(s) of a, so that following equation (s) have common root(s...

    Text Solution

    |

  16. A road network as shown in the figure connect four cites. In how many ...

    Text Solution

    |

  17. If f(x) be continuous function AAx in R-{-2} and satisfies, x^3-x^2(f...

    Text Solution

    |

  18. "Let "f(x)=((2^(x)+2^(-x))sin x sqrt(tan^(-1)(x^(2)-x+1)))/((7x^(2)+3x...

    Text Solution

    |

  19. Consider the equation x ^(3) -ax ^(2) +bx-c=0, where a,b,c are ration...

    Text Solution

    |

  20. The area of the region defined by x^2+y^2lt=pi^2 and ygeqsinxdot is ...

    Text Solution

    |