Home
Class 11
MATHS
If fig shows the graph of f(x)=a x^2+b x...

If fig shows the graph of `f(x)=a x^2+b x+c ,t h e n`
Fig

a. `c<0`
b. `b c >0`
c. `a b >0`
d. `a b c<0`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=a x^2+b x+cdot Consider the following diagram. Then Fig c 0 a+b-c >0 a b c<0

If a x^2+b x+c=0,a ,b ,c in R has no real zeros, and if c 0 (c) a >0

The straight line a x+b y+c=0 , where a b c!=0, will pass through the first quadrant if (a) a c >0,b c >0 (b) ac >0 or b c 0 or a c >0 (d) a c<0 or b c<0

If x^2+p x+1 is a factor of the expression a x^3+b x+c , then a^2-c^2=a b b. a^2+c^2=-a b c. a^2-c^2=-a b d. none of these

If the equation a x^2+b x+c=0,a ,b ,c , in R have none-real roots, then c(a-b+c)>0 b. c(a+b+c)>0 c. c(4a-2b+c)>0 d. none of these

The domain of f(x)=ln(a x^3+(a+b)x^2+(b+c)x+c), where a >0, b^2-4ac=0 , is

If 1 is the twice repeated root of the equation a x^3+b x^2+b x+d=0,t h e n (a) a=b=d (b) a+b=0 (c) b+d=0 (d) a=d

Let alpha,beta be the roots of the equation (x-a)(x-b)=c ,c!=0. Then the roots of the equation (x-alpha)(x-beta)+c=0 are a , c b. b , c c. a , b d. a+c , b+c

If |a x^2+b x+c|lt=1 for all x in [0, 1], then a. |a|lt=8 b. |b|>8 c. |c|lt=1 d. |a|+|b|+|c|=17

If the roots of the equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal,then a,b,c are in

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Find sum(k=1)^6 (sin,(2pik)/7 -icos, (2pik)/7)=?

    Text Solution

    |

  2. If the equation a x^2+b x+c=0(a &gt;0) has two real roots alphaa n db...

    Text Solution

    |

  3. If fig shows the graph of f(x)=a x^2+b x+c ,t h e n Fig a. c<...

    Text Solution

    |

  4. If |[6i,-3i,1],[ 4, 3i,-1],[ 20, 3,i]|=x+i y , then a.x=3,y=1 b. x=1,y...

    Text Solution

    |

  5. Let z=x+i y be a complex number, where xa n dy are real numbers. Let...

    Text Solution

    |

  6. If z=((sqrt(3))/2+i/2)^5+((sqrt(3))/2-i/2)^5 , then prove that I m(z)=...

    Text Solution

    |

  7. The value of sum(n=1)^(13) (i^n+i^(n+1)), where i =sqrt(-1) equals ...

    Text Solution

    |

  8. If c!=0 and the equation p//(2x)=a//(x+c)+b//(x-c) has two equal roots...

    Text Solution

    |

  9. If the equation 4x^2-x-1=0 and 3x^2+(lambda+mu)x+lambda-mu=0 have a r...

    Text Solution

    |

  10. Express the following in a+i b form: ((cos2theta-isin2theta)^4(cos4...

    Text Solution

    |

  11. The roots of the equation t^3+3a t^2+3b t+c=0a r ez1, z2, z3 which rep...

    Text Solution

    |

  12. Solve the equation (x-1)^3+8=0 in the set C of all complex numbers.

    Text Solution

    |

  13. If 'z, lies on the circle |z-2i|=2sqrt2, then the value of arg((z...

    Text Solution

    |

  14. If the equation whose roots are the squares of the roots of the cubic ...

    Text Solution

    |

  15. If sqrt(3)+i=(a+i b)(c+i d) , then find the value of tan^(-1)(b//a)+ta...

    Text Solution

    |

  16. P(z) be a variable point in the Argand plane such that |z|=minimum {|z...

    Text Solution

    |

  17. If the equation a x^2+b x+c=0,a ,b ,c , in R have none-real roots, t...

    Text Solution

    |

  18. Prove that the equation Z^3+i Z-1=0 has no real roots.

    Text Solution

    |

  19. The locus of point z satisfying Re(1/z)=k, where k is a non-zero real ...

    Text Solution

    |

  20. If p(q-r)x^2+q(r-p)x+r(p-q)=0 has equal roots, then prove that 2/q=1/p...

    Text Solution

    |