Home
Class 12
MATHS
If C0/1+C1/2+C2/3=0 , where C0 C1, C2 a...

If `C_0/1+C_1/2+C_2/3=0` , where `C_0 C_1, C_2` are all real, the equation `C_2x^2+C_1x+C_0=0` has

A

atleast one root in `(0,1)`

B

one root in `(1,2)` & other in `(3,4)`

C

one root in `(-1,1)` & the other in `(-5,-2)`

D

both roots imaginary

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise Exercise 2 Part - II|17 Videos
  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise Exercise 2 Part - III|25 Videos
  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise Exercise 1 Part-III|1 Videos
  • COMBINATORICS

    RESONANCE ENGLISH|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|5 Videos
  • DPP

    RESONANCE ENGLISH|Exercise QUESTION|656 Videos

Similar Questions

Explore conceptually related problems

If b_(1)b_(2) = 2(c_(1) + c_(2)) , then at least one of the equations x^(2) + b_(1)x + c_(1) = 0 and x^(2) + b_(2)x + c_(2) = 0 has

If b_1. b_2=2(c_1+c_2) then at least one of the equation x^2+b_1x+c_1=0 and x^2+b_2x+c_2=0 has a) imaginary roots b) real roots c) purely imaginary roots d) none of these

The roots of a_1x^2+b_1x + c_1=0 are reciprocal of the roots of the equation a_2x^2 +b_2x+c_2=0 if

If a , b , c , are real number such that a c!=0, then show that at least one of the equations a x^2+b x+c=0 and -a x^2+b x+c=0 has real roots.

If C_(0) , C_(1) , C_(2) ,…, C_(n) are coefficients in the binomial expansion of (1 + x)^(n) and n is even , then C_(0)^(2)-C_(1)^(2)+C_(2)^(2)+C_(3)^(2)+...+ (-1)^(n)C_(n)""^(2) is equal to .

If C_(0),C_(1),C_(2),C_(3), . . .,C_(n) be binomial coefficients in the expansion of (1+x)^(n) , then Q. The value of the expression C_(0)-2C_(1)+3C_(2)-. . . .+(-1)^(n)(n+1)C_(n) is equal to

If C_0, C_1, C_2,………C_n are binomial coefficients int eh expansion of (1+x)^n then and n is even, then C_0^2-C_1^2+C_2^2-C_3^2 + ... +(-1) C_n^2 , is equal to

If C_(0), C_(1), C_(2), ..., C_(n) denote the binomial cefficients in the expansion of (1 + x )^(n) , then a C_(0) + (a + b) C_(1) + (a + 2b) C_(2) + ...+ (a + nb)C_(n) = .

If C_(0), C_(1), C_(2), ..., C_(n) denote the binomial cefficients in the expansion of (1 + x )^(n) , then a C_(0) + (a + b) C_(1) + (a + 2b) C_(2) + ...+ (a + nb)C_(n) = .

If C_(0), C_(1), C_(2), …, C_(n) denote the binomial coefficients in the expansion of (1 + x)^(n) , then C_(0)""^(2) + 2 C_(1)""^(2) + 3C_(2)""^(2) + ...+ (n +1)C_(n)""^(2) =

RESONANCE ENGLISH-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 2 Part - 1
  1. int1^2 x^(2x^2+1)(1+2lnx)dx is equal to

    Text Solution

    |

  2. If f(x) is a function satisfying f(1/x)+x^2f(x)=0 for all nonzero x , ...

    Text Solution

    |

  3. If C0/1+C1/2+C2/3=0 , where C0 C1, C2 are all real, the equation C2x...

    Text Solution

    |

  4. If f(x) = int(0)^(x)(2cos^(2)3t+3sin^(2)3t)dt, f(x+pi) is equal to :

    Text Solution

    |

  5. Let f(x) = int(0)^(x)(dt)/(sqrt(1+t^(2))) and g(x) be the inverse of ...

    Text Solution

    |

  6. Let f(x) is differentiable function satisfying 2int(1)^(2)f(tx) dt ...

    Text Solution

    |

  7. Let I(n) = int(0)^(1)x^(n)(tan^(1)x)dx, n in N, then

    Text Solution

    |

  8. If u(n) = int(0)^(pi/2) x^(n)sinxdx, then the value of u(10) + 90 u(8...

    Text Solution

    |

  9. The value of int(1/e)^(tanx)(tdt)/(1+t^2)+int(1/e)^(cotx)(dt)/(t(1+t^2...

    Text Solution

    |

  10. Let A(1) = int(0)^(x)(int(0)^(u)f(t)dt) dt and A(2) = int(0)^(x)f(u).(...

    Text Solution

    |

  11. The value of underset (nrarrinfty)(lim)("sin"(pi)/(2n)."sin"(2pi)/(2n)...

    Text Solution

    |

  12. Area bounded by the region consisting of points (x,y) satisfying y le ...

    Text Solution

    |

  13. The area enclosed between the curves y=log(e)(x+e),x=log(e)((1)/(y)), ...

    Text Solution

    |

  14. The area enclosed by the curves x=a sin^(3)t and y= a cos^(2)t is equa...

    Text Solution

    |

  15. The area bounded by the curve f(x)=x+sinx and its inverse function bet...

    Text Solution

    |

  16. P(2,2), Q(-2,2) R(-2,-2) & S(2,-2) are vertices of a square. A para...

    Text Solution

    |

  17. The ratio in which the curve y = x^(2) divides the region bounded by ...

    Text Solution

    |

  18. If f(x)=sinx ,AAx in [0,pi/2],f(x)+f(pi-x)=2,AAx in (pi/2,pi]a n df(x)...

    Text Solution

    |

  19. The area bounded by the curves y=x e^x ,y=x e^(-x) and the line x=1 is...

    Text Solution

    |

  20. Find the area of the region enclosed by the curves y=xlogx and y=2x-2x...

    Text Solution

    |