Home
Class 11
MATHS
What is the minimum height of any point ...

What is the minimum height of any point on the curve `y=x^2-4x+6` above the x-axis?

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

What is the maximum height of any point on the curve y=-x^2+6x-5 above the x-axis?

The minimum distance of a point on the curve y=x^(2)-4 from the origin is

Find the maximum distance of any point on the curve x^2+2y^2+2x y=1 from the origin.

Find the area bounded by the curve y=4x(x-1)(x-2) and the x-axis.

Find the length of the tangent from any point on the circule x^(2)+y^(2)-4x+6y-2=0 to the circle x^(2)+y^(2)-4x+6y+7=0

Find the minimum distance between the curves y^2=4x and x^2+y^2-12 x+31=0

Find the length of the tangent for the curve y=x^3+3x^2+4x-1 at point x=0.

Find the equation of the curve passing through the origin if the middle point of the segment of its normal from any point of the curve to the x-axis lies on the parabola 2y^2=x .

The tangent drawn at the point (0, 1) on the curve y=e^(2x) meets the x-axis at the point -

At which point of the curve y=1+x-x^(2) the tangent is parallel to x-axis ?

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If the equation |z-a|+|z-b|=3 represents an ellipse and a ,b in C ,w ...

    Text Solution

    |

  2. If |z^2-3|=3|z| , then the maximum value of |z| is a.1 b. (3+sqrt...

    Text Solution

    |

  3. What is the minimum height of any point on the curve y=x^2-4x+6 above ...

    Text Solution

    |

  4. Find the locus of point z if z , i ,and iz , are collinear.

    Text Solution

    |

  5. If |z-1|lt=2a n d|omegaz-1-omega^2|=a where omega is cube root of unit...

    Text Solution

    |

  6. What is the maximum height of any point on the curve y=-x^2+6x-5 above...

    Text Solution

    |

  7. Consider an ellipse having its foci at A(z1)a n dB(z2) in the Argand p...

    Text Solution

    |

  8. The roots of the cubic equation (z+ ab)^(3) = a^(3), such that a ne 0...

    Text Solution

    |

  9. Find the largest natural number a for which the maximum value of f(x)=...

    Text Solution

    |

  10. In the Argands plane what is the locus of z(!=1) such that a rg{3/2((2...

    Text Solution

    |

  11. If omega is an imaginary x^n root of unit then underset(r=1)oversetnsu...

    Text Solution

    |

  12. Let f(x)=a x^2+b x+c be a quadratic expression having its vertex at (3...

    Text Solution

    |

  13. If |z|=2a n d(z1-z3)/(z2-z3)=(z-2)/(z+2) , then prove that z1, z2, z3...

    Text Solution

    |

  14. If |z1/z2|=1 and arg (z1z2)=0 , then a. z1 = z2 b. |z2|^2 = z1*z2 ...

    Text Solution

    |

  15. Find the least value of n such that (n-2)x^2+8x+n+4>0,AAx in R ,w h ...

    Text Solution

    |

  16. The common roots of the equations z^3+2z^2+2z+1=0 and z^1985+z^100+1=0...

    Text Solution

    |

  17. If z1 + z2 + z3 + z4 = 0 where bi in R such that the sum of no two ...

    Text Solution

    |

  18. If the inequality (m x^2+3x+4)//(x^2+2x+2)<5 is satisfied for all x i...

    Text Solution

    |

  19. If |(z-2)//(z-3)|=2 represents a circle, then find its radius.

    Text Solution

    |

  20. If z1 is a root of the equation a0z^n+a1z^(n-1)+........+ (a(n-1)) z ...

    Text Solution

    |