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

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If the equationax ^(2)+2bx-3c=0 has non real roots and 0(3)>=0(4)zero

If the equation ax^(2) + 2 bx - 3c = 0 has no real roots and (3c)/(4) lt a + b , then

ax^(2)+2bx-3c=0 has no real root and a+b>3(c)/(4) then

If c>0 and the equation 3ax^(2)+4bx+c=0 has no real root,then

If the equation ax^(2)+25x-3c=0 has non real roots and (3c)/4lt(a+b), then c is always (A) Negative (B) 0(C) Non-negative (D) zero

if the equation ax^(2)+2bx-3c=0 has non real roots and 3(c)/(4)

Given that ax^(2)+bx+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 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

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

RESONANCE DPP-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. Number of roots of equation 3^(|x|)-|2-|x||=1 is a. 0 b. 2 c. 4 d. 7

    Text Solution

    |

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

    Text Solution

    |

  6. Let A be a 3x3 matrix such that |A|=-2, then det(-2A^(-1))= -4 (b) 4...

    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 of the following set of quadratic equ...

    Text Solution

    |

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

    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 2 1 2 3 3x1]a n dA^(-1)=[1/2-1/2 1/2-4 3y5/2-3/2 1/2] x=1,y...

    Text Solution

    |

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

    Text Solution

    |

  15. Minimum value of f(x)=2x^2-4x+5 is 1 (b) -1 (c) 11 (d) 3

    Text Solution

    |

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

    Text Solution

    |

  17. Total number of positive integers x for which f(x)=x^3-8x^2+20 x-13 is...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. The value of x satisfying the equation (6x+2a+3b+c)/(6x+2a-3b-c)=(2x+6...

    Text Solution

    |