Home
Class 12
MATHS
For x in R, the maximum value of sqrt(x^...

For `x in R`, the maximum value of `sqrt(x^4 - 5x^2 – 8x + 25) - sqrt( x^4 – 19x^2 + 100)` is

A

2

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS

    FIITJEE|Exercise OBJECTIVE|84 Videos

  • MATHEMATICS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos

  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos

  • MATHEMATICAL REASONING

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

int sqrt((4+8x-5x^(2)))dx

if y^(2)(y^(2)-6)+x^(2)-8x+24=0 , then maximum value of sqrt(y^(4)+x^(2)) is

sqrt(x^(2)-4)-(x-2)=sqrt(x^(2)-5x+6)

lim_(x rarr sqrt(2)) ((x^2 - 4)/(x^2 + 3sqrt(2)x - 8))

Maximum value of (sqrt(-3+4x-x^(2))+4)^(2)+(x-5)^(2)(where1<=x<=3) is

FIITJEE-MATHEMATICS -ASSIGNMENT (SECTION(I) MCQ(SINGLE CORRECT)
  1. The point on the curve y = x ^(2) + 4x + 3 which is nearest from the l...

    Text Solution

    |

  2. Consider the parabola x ^(2) + 4x - 2y + 6 = 0. If its chord AB 2mx - ...

    Text Solution

    |

  3. For x in R, the maximum value of sqrt(x^4 - 5x^2 – 8x + 25) - sqrt( x^...

    Text Solution

    |

  4. How many tangents to the circle x^2 + y^2 = 3 are normal tothe ellips...

    Text Solution

    |

  5. If the line x + y -1=0 is a tangent to a parabola with focus (1,2) at ...

    Text Solution

    |

  6. P is a point on the parabola y^2= 4ax and PQ is its focal chord. If PT...

    Text Solution

    |

  7. Let A be the area between co-ordinate axis, y ^(2) =x -1,x ^(2) =y -1 ...

    Text Solution

    |

  8. An ellipse has point (1,-1)a n d(2,-1) as its foci and x+y-5=0 as one ...

    Text Solution

    |

  9. Consider the ellipse x^2/3 + y^2/1 = 1. Let P,Q,R,S be four points on ...

    Text Solution

    |

  10. If the curve (x ^(2))/(a ^(2)) + ( y ^(2))/(k^(2) a ^(2)) =1 and (x -g...

    Text Solution

    |

  11. If [sin^-1x]+[cos^-1x]=0, where 'x' is a non negative real number and ...

    Text Solution

    |

  12. If (sqrt2 cos x + sqrt2 sin x + sqrt7) m =1 holds then

    Text Solution

    |

  13. sin x + cos x = y ^(2) -y + a has no value of x for any y if 'a' belon...

    Text Solution

    |

  14. The solution set of inequality (tan^(-1)x)(cot^(-1)x)-(tan^(-1)x)(1+...

    Text Solution

    |

  15. An electric pole stands at the vertex A of the equilateral triangular ...

    Text Solution

    |

  16. A pole on the ground leans 60^(@) to the vertical. At a point a meters...

    Text Solution

    |

  17. A 10 meters high tower is standing at the center of an equilateral tri...

    Text Solution

    |

  18. A spherical baloon of radius 50 cm, subtends an angle of 60^(@) at a m...

    Text Solution

    |

  19. PQ is a post of height a, AB is a tower of height h at a distance x fr...

    Text Solution

    |

  20. For each n in N, the correct statement is

    Text Solution

    |