Home
Class 12
MATHS
Find the minimum value of (x1-x2)^2+((x...

Find the minimum value of `(x_1-x_2)^2+((x_1^2)/20-sqrt((17-x_2)(x_2-13)))^2` where `x_1 in R^+,x_2 in (13,17)`.

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

Find the minimum value of |x-1|+|x-2|+|x-3|

The minimum value of f(x)=2x^(2)+x-1 is-

Evaluate, min[(x_1-x_2)^2+(5+sqrt(1-x_1^2)-sqrt(4x_2))^2],AAx_1,x_2 in R , is

Find the value of (x^3 - 7x^2 + 13x + 17) when x = 2 + sqrt3

Find the derivative of sec^(-1)(1/(2x^2-1)) w.r.t sqrt(1-x^2) at x=1/2

The minimum value of the function f(x)=2|x-1|+|x-2| is -

The minimum value of the function f(x)=2|x-1|+|x-2| is

Find the domain of the function : f(x)=1/(sqrt((log)_(1/2)(x^2-7x+13)))

For all real values of x, the minimum value of (1-x+x^(2))/(1+x+x^(2)) is

Evaluate int_(0)^(1) (e^x(2-x^2)dx)/((1-x)sqrt(1-x^2))

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. On the curve x^3=12y the abscissa changes at a faster rate than the or...

    Text Solution

    |

  2. The length x of a rectangle is decreasing at the rate of 5cm/s and the...

    Text Solution

    |

  3. Find the minimum value of (x1-x2)^2+((x1^2)/20-sqrt((17-x2)(x2-13)))^...

    Text Solution

    |

  4. Displacement s of a particle at time t is expressed as s=1/2t^3-6t. Fi...

    Text Solution

    |

  5. Find the distance of the point on y=x^4+3x^2+2x which is nearest to th...

    Text Solution

    |

  6. The graph y=2x^3-4x+2a n dy=x^3+2x-1 intersect in exactly 3 distinct p...

    Text Solution

    |

  7. The tangent at any point on the curve x=acos^3theta,y=asin^3theta meet...

    Text Solution

    |

  8. Prove that all the point on the curve y=sqrt(x+sinx) at which the tang...

    Text Solution

    |

  9. The two equal sides of an isosceles triangle with fixed base b are dec...

    Text Solution

    |

  10. A lamp is 50 ft above the ground. A ball is dropped from the same heig...

    Text Solution

    |

  11. Find the possible values of p such that the equation p x^2=(log)e x ha...

    Text Solution

    |

  12. Find the angle between the curves 2y^2=x^3 and y^2=32 x.

    Text Solution

    |

  13. Prove that all points of the curve y^2=4a[x+asinx/a] at which the lang...

    Text Solution

    |

  14. Find the values of a if equation 1-cosx=(sqrt(3))/2|x|+ a ,x in (0,pi...

    Text Solution

    |

  15. Find the angle at which the curve y=K e^(K x) intersects the y-axis.

    Text Solution

    |

  16. Find the angle of intersection of the curves x y=a^2a n dx^2-y^2=2a^2

    Text Solution

    |

  17. Find the angle between the curves x^2-(y^2)/3=a^2a n dC2: x y^3=c

    Text Solution

    |

  18. Let f(x)=2x^3-9x^2+12 x+6. Discuss the global maxima and minima of f(x...

    Text Solution

    |

  19. If the curves a y+x^2=7 and x^3=y cut orthogonally at (1,1) , then fin...

    Text Solution

    |

  20. Discuss the extremum of f(x)=2x+3x^(2/3)

    Text Solution

    |