Home
Class 12
MATHS
min[(x1-x^2)^2+(3+sqrt(1-x1^2)-sqrt(4x2)...

`min[(x_1-x^2)^2+(3+sqrt(1-x_1^2)-sqrt(4x_2))],AAx_1,x_2 in R ,` is

A

`4sqrt5+1`

B

`3-2sqrt2`

C

`sqrt5+1`

D

`sqrt5-1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise For Session 1|20 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise For Session 2|25 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

min[(x_(1)-x_(2))^(2)+(3+sqrt(1-x_(1)^(2))-sqrt(4x_(2)))],AA x_(1),x_(2)in R is (a)4sqrt(5)+1 (b) 3-2sqrt(2)(c)sqrt(5)+1(d)sqrt(5)-1

" 2.(i) sqrt(3x+1)-sqrt(x-1)=2

If y=tan^(-1){(sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))} , -1 < x < 1, x!= 0 . Find dy/dx .

tan^(-1)[(sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2)))],|x|<(1)/(2),x!=0

int(sqrt(1-x^(2))+sqrt(1+x^(2)))/(sqrt(1-x^(2))sqrt(1+x^(2)))dx=

Minimum value of (x_(1)-x_(2))^(2)+(sqrt(2-x_(1)^(2))+x_(2)-8)^2 ,where x_(1)in[-sqrt(2),sqrt(2)] and x_(2)in R is

y=tan^(-1)((sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-sqrt(1-x^(2)))), where -1

Differentiate sin^(-1)(4xsqrt(1-4x^(2)))w.r.t.sqrt(1-4x^(2)) , if x in(-(1)/(2sqrt2),(1)/(2sqrt2))

lim_(xrarr oo)(sqrt(3x^2-1)+sqrt(2x^2-1))/(4x+3)=

ARIHANT MATHS-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. min[(x1-x^2)^2+(3+sqrt(1-x1^2)-sqrt(4x2))],AAx1,x2 in R , is

    Text Solution

    |

  2. Tangent to the curve y=x^2+6 at a point (1,7) touches the circle x^2+y...

    Text Solution

    |

  3. let P be the point (1, 0) and Q be a point on the locus y^2= 8x. The l...

    Text Solution

    |

  4. The axis of parabola is along the line y=x and the distance of its ver...

    Text Solution

    |

  5. The equations of the common tangents to the parabola y = x^2 and y=-...

    Text Solution

    |

  6. The locus of the vertices of the family of parabolas y =[a^3x^2]/3 + [...

    Text Solution

    |

  7. Angle between the tangents to the curve y=x^2-5x+6 at the points (2,0)...

    Text Solution

    |

  8. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  9. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  10. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  11. Statement I The curve y = x^2/2+x+1 is symmetric with respect to the l...

    Text Solution

    |

  12. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

    Text Solution

    |

  13. Consider the two curves C1 ; y^2 = 4x, C2 : x^2 + y^2 - 6x + 1 = 0 the...

    Text Solution

    |

  14. A parabola has the origin as its focus and the line x=2 as the directr...

    Text Solution

    |

  15. The tangent PT and the normal PN to the parabola y^2=4ax at a point P...

    Text Solution

    |

  16. Let A and B be two distinct points on the parabola y^2 = 4x. If the ax...

    Text Solution

    |

  17. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

    Text Solution

    |

  18. Consider the parabola y^2 = 8x. Let Delta1 be the area of the triangle...

    Text Solution

    |

  19. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

    Text Solution

    |

  20. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

    Text Solution

    |

  21. The shortest distance between line y-x=1 and curve x=y^2 is

    Text Solution

    |