Home
Class 12
MATHS
If the equation a x^2+2b x-3c=0 has no r...

If the equation `a x^2+2b x-3c=0` has no real roots and `((3c)/4)<1+b ,` then `c<0` (b) `c >0` `c=0` (d) None of these

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

ax^2+2bx-3c=0 has no real root and a+bgt3c/4 then

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

For the equation |x^2|+|x|-6=0 , the sum of the real roots is (a) 1 (b) 0 (c) 2 (d) none of these

If the equation f(x)= ax^2+bx+c=0 has no real root, then (a+b+c)c is (A) =0 (B) gt0 (C) lt0 (D) not real

If x=1+i is a root of the equation =x^3-i x+1-i=0, then the other real root is 0 b. 1 c. -1 d. none of these

If the equation a x^2+b x+c=0 has two positive and real roots, then prove that the equation a x^2+(b+6a)x+(c+3b)=0 has at least one positive real root.

The value of c for which the equation a x^2+2b x+c=0 has equal roots is (a) (b^2)/a (b) (b^2)/(4a) (c) (a^2)/b (d) (a^2)/(4b)

If the equation |x^2+b x+c|=k has four real roots, then a. b^2-4c > 0 and 0 0 and k > (4c-b^2)/4 d. none of these

If the equation a x^2+b x+c=x has no real roots, then the equation a(a x^2+b x+c)^2+b(a x^2+b x+c)+c=x will have a. four real roots b. no real root c. at least two least roots d. none of these

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Two consecutive vertices of a rectangle of area 10u n i t s^2 are (1, ...

    Text Solution

    |

  2. The coordinates of the midpoints of the sides of a triangle A B C are ...

    Text Solution

    |

  3. If the equation a x^2+2b x-3c=0 has no real roots and ((3c)/4)<1+b , t...

    Text Solution

    |

  4. The number of roots of the equation 3^(|x|){|2-|x||}=1 is :

    Text Solution

    |

  5. Solve 2cos^2theta+sinthetalt=2, where pi/2lt=thetalt=(3pi)/2dot

    Text Solution

    |

  6. If A is a 3xx3 matrix such that |A|=-2, then |-2A^(-1)| is equal to

    Text Solution

    |

  7. The acute angle between two straight lines passing through the point M...

    Text Solution

    |

  8. Find the value of 'k' for which the following set of quadratic equatio...

    Text Solution

    |

  9. The number of roots of the equation, x-2/(x-1)=1-2/(x-1) is (a) 0 (b) ...

    Text Solution

    |

  10. Given that tanalpha and tanbeta,x^2-p x+q=0 , then value of sin^2(al...

    Text Solution

    |

  11. If f(x)=(1-s in2x+cos2x)/(2cos2x) , then the value of f(16^0)dotf(29^0...

    Text Solution

    |

  12. If the roots of the equation x^2+2c x+a b=0 are real and unequal, the...

    Text Solution

    |

  13. If A=[[0 ,1 ,3],[ 1, 2,x],[2, 3, 1]] and A^(-1)=[[1//2,-4 ,5//2],[-1//...

    Text Solution

    |

  14. Number of solutions of the simultaneous equations |x| + |y|=3 and sin ...

    Text Solution

    |

  15. Minimum value of of f (x)=2x^(2)-4x+5is

    Text Solution

    |

  16. Let P""=""(-1,""0),""Q""=""(0,""0)""a n d""R""=(3,""3sqrt(3)) be th...

    Text Solution

    |

  17. The value of k so that the equation 12 x^2-10 x y+2y^2+11 x-5y+k=0 rep...

    Text Solution

    |

  18. Find the number of positive integers x for which f(x) = x^(3) - 8 x^...

    Text Solution

    |

  19. If |x|+|x-5|=6 and x<0, then (x+3/2) is equal to

    Text Solution

    |

  20. If (x1, y1)&(x2,y2) are the ends of a diameter of a circle such that x...

    Text Solution

    |