Home
Class 12
MATHS
If the equation ax^2+2bx-3c=0 has non ...

If the equation ` ax^2+2bx-3c=0 ` has non real roots and < `a+b` then c is always

A

`clt0`

B

`c gt0`

C

`c=0`

D

`a+2b-3c lt0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 98

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA TPC JEE MAIN TEST 100

    NTA MOCK TESTS|Exercise MATHEMATICS (SUBJECTIVE NUMERICAL)|10 Videos

Similar Questions

Explore conceptually related problems

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

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

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

If the equation ax^(2)+bx+c=0 has distinct real roots and ax^(2)+b{x}+C=0 also has two distinct real roots then

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 the equation ax^(2)+bx+c=0 has non-real roots,prove that 1+(c)/(a)+(b)/(a)>0

If the equation ax^(2)+2bx+c=0 has real roots, a,b,c being real numbers and if m and n are real numbers such that m^(2)gtngt0 then prove that the equation ax^(2)+2mbx+nc=0 has real roots.

If the equation |x^(2)+bx+c|=k has four real roots,then

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

NTA MOCK TESTS-NTA JEE MOCK TEST 99-MATHEMATICS
  1. Two circles have an external tangent with length 36 cm. The shortest d...

    Text Solution

    |

  2. If 4 letter words are formed using letters of the word 'MORADABAD'. Th...

    Text Solution

    |

  3. The number of values of alpha in [-10pi, 10pi] for which the equations...

    Text Solution

    |

  4. The line joining (5,0) to (10cos theta,10sin theta) is divided interna...

    Text Solution

    |

  5. Let veca=hati-hatj+hatk, vecb=2hati+hatj+hatk and vecc=hati+hatj-2hatk...

    Text Solution

    |

  6. Find the common tangent of y=1+x^(2) and x^(2)+y-1=0. Also find their ...

    Text Solution

    |

  7. For a complex number z, if z^(2)+barz-z=4i and z does not lie in the f...

    Text Solution

    |

  8. The solution of the differential equation (1-x^(2)).(dy)/(dx)+xy=(x-x^...

    Text Solution

    |

  9. If the equation ax^2+2bx-3c=0 has non real roots and < a+b then c is...

    Text Solution

    |

  10. If I=int((lnx)^(5))/(sqrt(x^(2)+x^(2)(lnx)^(3)))dx=ksqrt((lnx)^(3)+1)(...

    Text Solution

    |

  11. The function f(x)=pix^(3)-(3pi)/(2)(a+b)x^(2)+3piabx has a local minim...

    Text Solution

    |

  12. The sum sum(r=1)^50 r.(2^r+2^(50-r)) equals

    Text Solution

    |

  13. The number of five - digit telephone numbers having atleast one of the...

    Text Solution

    |

  14. The limit L=lim(nrarroo)Sigma(r=4)^(n-4)(n)/(n^(2)+r^(2)) satisfies th...

    Text Solution

    |

  15. The sum of the first three terms of an arithmetic progression is 9 and...

    Text Solution

    |

  16. The number of solution of the equation Sigma(r=1)^(5)cos(rx)=0 lying i...

    Text Solution

    |

  17. The marks obtained by 9 students in a chemistry test are 50, 69, 20, 3...

    Text Solution

    |

  18. Let A and B are square matrices of order 3. If |A|=4, |B|=6, B=A-2I an...

    Text Solution

    |

  19. Tangents are drawn from a point P to the hyperbola x^2/2-y^2= 1 If the...

    Text Solution

    |

  20. Let A=x^(4)+4x^(3)+2x^(2)-4x+7 where x=cot.(11pi)/(8) and B=(1-cos 8th...

    Text Solution

    |