Home
Class 12
MATHS
The minimum value of the expression (t^(...

The minimum value of the expression `(t^(2)+1-alpha)^(2)+(2t-alpha-4)^(2)` is `(t, alpha in R)`

A

2

B

3

C

8

D

10

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 40

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos
  • NTA TPC JEE MAIN TEST 42

    NTA MOCK TESTS|Exercise MATHEMATICS (SUBJECTIVE NUMERICAL)|10 Videos

Similar Questions

Explore conceptually related problems

The value of expression (tan alpha+sin alpha)/(2"cos"^(2)(alpha)/(2)) for alpha=(pi)/(4) is :

If pi

If minimum value of function f(x)=(1+alpha^(2))x^(2)-2 alpha x+1 is g(alpha) then range of g(alpha) is

(1)/(2)mc^(2)(alpha)T

The simplified value of sin^(4)alpha+cos^(4)alpha+(1)/(2) sin^(2) 2 alpha is

For a positive constant t ,let alpha, beta be the roots of the quadratic equation x^(2)+t^(2)x-2t=0 . If the minimum value of int_(-1)^(2)((x+(1)/(alpha^(2)))(x+(1)/(beta^(2)))+(1)/(alpha beta))dx is sqrt((a)/(b))+c where a,b,c in N ,then the least value of (a-b+c) is

If pi

When the two rods having expansion cofficient alpha_(1), alpha_(2) (alpha_(2) gt alpha_(1)) and width d are heated then the radius of the rod after expansion. R=(d)/((alpha_(2)-alpha_(1))Delta T)

A particle move with a velocity v=alpha t^(3) along a straight line.The average velocity in time interval t=0 to t=T is (A) alphaT^(3) (B) (alpha T^(3))/(2) (C) (alpha T^(3))/(3) (D) (alpha T^(3))/(4)

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 41-MATHEMATICS
  1. If real numbers x and y satisfy x^(2)+y^(2)-16x+30y+280=0 then maximum...

    Text Solution

    |

  2. What is the eccentricity of the conic expressed by x^(2)+2y^(2)-2x+3...

    Text Solution

    |

  3. The minimum value of the expression (t^(2)+1-alpha)^(2)+(2t-alpha-4)^(...

    Text Solution

    |

  4. For an isosceles triangle, the ends of the base are given by the point...

    Text Solution

    |

  5. If the line (x-2)/3=(y+1)/2=(z-1)/(-1) intersects the plane 2x+3y-z+13...

    Text Solution

    |

  6. If the volume of parallelepiped formed by the vectors hati+lamdahatj+h...

    Text Solution

    |

  7. If f(x) is a differentials function such that f'(1)=4 and f'(4)=1/2, t...

    Text Solution

    |

  8. The probability that the screws are defective in three boxes of screws...

    Text Solution

    |

  9. The general solution of differential equation (dy)/(dx)+(ylny)/x=(y(ln...

    Text Solution

    |

  10. inte^((logx+ax^(2)))cos(bx^(2)+c)dx is equal to

    Text Solution

    |

  11. The negation of the compound statement ~pvv(pvv(~q)) is

    Text Solution

    |

  12. The mean and variation of 7 observations are 8 and 16 respectivelh. If...

    Text Solution

    |

  13. Which one of the following is incorrect?

    Text Solution

    |

  14. In a triangle ABC if Delta=|(e^(i2A),e^(-iC),e^(iB)),(e^(-iC),e^(i2B...

    Text Solution

    |

  15. Let f(x) ={(2-x+a^(2)-9a-9,xlt2),(2x-3,xge2):} Where a is a positiv...

    Text Solution

    |

  16. If y=cos^(-1)[(cosx+4sinx)/(sqrt(17))] then (dy)/(dx)d is

    Text Solution

    |

  17. Let the line x=k divide the area enclosed by (1-x)^(2)=y,x=0,y=0 int...

    Text Solution

    |

  18. How many real solutions does the equation 2sin x=x^(2)-x pi+(pi^(2)+8)...

    Text Solution

    |

  19. If A and B are two independent events such that P(bar(A)nnB)=2/15 and ...

    Text Solution

    |

  20. The function defined by f(x) ={((x^(2)+e^(1/2-x))^(-1),x!=2),(k,x=2)...

    Text Solution

    |