Home
Class 12
MATHS
Statement 1: Sum of squares of deviation...

Statement 1: Sum of squares of deviations is minimum when it is taken about their mean.
Statement 2: Quadratic expression `a x^2+bx+c` takes its minimum value at `x=(4a c-b^2)/(4a)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The sum of squares of the deviation of the values of the variable is_____ when taken about their arithmetic mean

The minimum value of (x^(2)+2x+4)/(x+2) , is

If the sum of the squares of deviations for 10 observations taken from their means is 2.5, then write the value of standard deviation.

Statement -1: The expression n!(20-n)! is minimum when n=10 . because Statement -2: .^(2p)C_(r) is maximum when r=p .

If the minimum value of the quadratic expression y =ax ^(2)+bx +c is negative attained at negative vlaue of x, then :

For all real values of x, the minimum value of the quadratic expression x^(2)-3x+3 is

Let a, b, c be positive numbers, then the minimum value of (a^4+b^4+c^2)/(abc)

Let a, b, c be positive numbers, then the minimum value of (a^4+b^4+c^2)/(abc)

Minimum value of of f (x)=2x^(2)-4x+5is

Statement-1: If x^(2) + ax + 4 gt 0 "for all" x in R , then a in (-4, 4) . Statement-2: The sign of quadratic expression ax^(2) + bx + c is always same as that of 'a' except for those values of x which lie between its roots.

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. For finding average speed of a vehicle covering equal distances in d...

    Text Solution

    |

  2. Internal bisector of angle A of Delta ABC meets side BC to D. A line ...

    Text Solution

    |

  3. Statement 1: Sum of squares of deviations is minimum when it is take...

    Text Solution

    |

  4. In the Mean value theorem f(b)-f(a)=(b-a)f'(c), if a=4, b=9 and f(...

    Text Solution

    |

  5. In a triangle A B C , if a : b : c=3:7:8,t h e n R : r is equal to a. ...

    Text Solution

    |

  6. A draws a card from a pack of n cards marked 1,2,ddot,ndot The card is...

    Text Solution

    |

  7. If A(n) represents the area bounded by the curve y=n*ln x ,where n...

    Text Solution

    |

  8. The complex number z satisfying |z+bar z|+|z-bar z|=2 and |iz-1|+|z-i|...

    Text Solution

    |

  9. If the letters of the word ''REGULATIONS'' be arranged at random, fin...

    Text Solution

    |

  10. Consider a function defined in [-2,2] f (x)={{:({x}, -2 le x lt -1),...

    Text Solution

    |

  11. A A1, B B1a n dC C1 are the medians of triangle A B C whose centroid...

    Text Solution

    |

  12. For a regular polygon, let r and R be the radii of the inscribed and t...

    Text Solution

    |

  13. Let f(x) = ||x| - 1|, then points where, f(x) is not differentiable is...

    Text Solution

    |

  14. For some natural number N, the number of positive integral 'x' satis...

    Text Solution

    |

  15. In triangle A B C , let /c=pi/2dot If r is the inradius and R is circu...

    Text Solution

    |

  16. The sides of a tringle are 8 cm, 10 cm and 12 cm. Prove that the great...

    Text Solution

    |

  17. If R is a relation on the set A={1,2,3} given by R={(1,1),(2,2),(3,3),...

    Text Solution

    |

  18. Three of the six vertices of a regular hexagon are chosen the rando...

    Text Solution

    |

  19. A natural number is selected at random from the set {1<=x <=100}. The...

    Text Solution

    |

  20. The sides of a triangle are sin alpha, cos alpha, sqrt(1+sin alpha cos...

    Text Solution

    |