Home
Class 12
MATHS
Which of the following point lying on th...

Which of the following point lying on the line x + 2y = 5 is at minimum distance from the origin

A

`(1,2)`

B

`(3,1)`

C

`(-1,3)`

D

`(2 , 3//2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE - 2 (LEVEL - II)|15 Videos

  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE - 3|32 Videos

  • MAXIMA AND MINIMA

    MOTION|Exercise EXERCISE -1 (SECTION- F )|2 Videos

  • MATRICES

    MOTION|Exercise Exercise - 4 (Level-II)|28 Videos

  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 4 LEVEL -II|5 Videos

Similar Questions

Explore conceptually related problems

Find the point on the curve y^(2)=2x which is at a minimum distance from the point (1,4)

Find the point on the curve y^(2)=2x which is at a minimum distance from the point (1,4)

The point on the line x-y=4 which lie at a unit distance from the line 4x+3y=10, are?

The equation of the line passing through the point of intersection of the lines 2x+y=5 and y=3x-5 and which is at the minimum distance from the point (1,2) is

A point P(h, k) lies on the straight line x + y +1 = 0 and is at a distance 5 from the origin. If k is negative, then h is equal to

consider the family of lines through the point (1,2,2) and lying in the plane 2x-y+z=2 family which is at a maximum distance from the point (2,1,1) is

MOTION-MAXIMA AND MINIMA -EXERCISE -2 (LEVEL- I)
  1. The function 'f' is defined by f(x)=x^p(1-x)^q for all x\ in R , whe...

    Text Solution

    |

  2. If f(x)=(x^2-1)/(x^2+1) . For every real number x , then the minimum v...

    Text Solution

    |

  3. If f(x)=alog|x|+b x^2+x has its extremum values at x=-1a n dx=2, then ...

    Text Solution

    |

  4. Which of the following point lying on the line x + 2y = 5 is at minimu...

    Text Solution

    |

  5. The maximum distance of the point (a, 0) from the curve 2x^(2) + y^(2)...

    Text Solution

    |

  6. The point on the line y = x such that the sum of the squares of its di...

    Text Solution

    |

  7. if the complete set of values (s) of 'a' for which the function f (x)...

    Text Solution

    |

  8. If the point (1,3) serves as the point of inflection of the curve y =...

    Text Solution

    |

  9. The equation x^(3) - 3x + [a] = 0 , will have three real and distinct ...

    Text Solution

    |

  10. Solution(s) of the equation. 3x^2-2x^3 = log2 (x^2 + 1) - log2 x is/ar...

    Text Solution

    |

  11. Let f(x)=x^(3) +3(a-7)x^(2)+3(a^(2) -9) x-1. If f(x) has positive po...

    Text Solution

    |

  12. If the function f(x) = x^3-9x^2 +24x + c has three real and distinct r...

    Text Solution

    |

  13. A and B are the points (2, 0) and (0, 2) respectively. The coordinates...

    Text Solution

    |

  14. Two points A(1, 4) & B(3, 0) are given on the ellipse 2x^(2) + y^(2) =...

    Text Solution

    |

  15. Least value of the function , f(x)=2^(x^2)-1+2/(2^(x^2)+1) is :

    Text Solution

    |

  16. The coordinate of the point at which minimum value of Z = 7x - 8y, sub...

    Text Solution

    |

  17. Maximum and minimum value of f(x) = max (sin t), 0 lt t lt x le 0 x l...

    Text Solution

    |

  18. If a^2x^4+b^2y^4=c^6, then the maximum value of x y is (c^2)/(sqrt(a b...

    Text Solution

    |

  19. Let f(x) =sin ({x})/(a) + cos ({x})/(a) where a gt 0 and {.} denotes t...

    Text Solution

    |

  20. The maximum value of f(x) , if f(x) + f ((1)/(x)) = (1)/(x) , x in ...

    Text Solution

    |