Home
Class 12
MATHS
Let A be (100, 50) , a point B on the li...

Let A be (100, 50) , a point B on the line y = x and point C on x-axis such that AB + BC + CA is minimum, then the coordinates of C is

A

`(50,0)`

B

`((200)/(3), 0)`

C

`((250)/(3), 0)`

D

`((400)/(3) , 0)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 42

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

  • NTA TPC JEE MAIN TEST 44

    NTA MOCK TESTS|Exercise MATHEMATICS |28 Videos

Similar Questions

Explore conceptually related problems

Let A(3,4) and B(5,8) be two points.If C is a point on the x-axis such that AC+BC is minimum then the co ordinates of C are

Let P be (5,3) and a point R on y = x and Q on the X - axis be such that PQ +QR+RP is minimum ,then the coordinates of Q are

Let A(3, 2) and B(6, 5) be two points and a point C (x,y) is chosen on the line y=x such that AC+BC is minimum, then the co-ordinates of C are:

Let A(2,-1,4) and B(0,2,-3) be the points and C be a point on AB produced such that 2AC=3AB , then the coordinates of C are

Let A=(a,b) and B=(c,d) where c gt a gt 0 and d gt b gt 0 . Then, point C on the X-axis such that AC + BC is the minimum, is:

Given A(0,2) and two points B and C on parabola y^(2)=x+4 ,such that AB prependicular BC ,then the range of y coordinate of point C is

If A(a,0) and B(b,0) are two points on X -axis and a point C(0,c) is on Y-axis.Then,the locus of a point P such that A,B,P and C are concyclic and the coordinates of a point D on the locus of P such that AB is parallel to CD

Give the coordinates of a point on the x-axis and a point on the y-axis.

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 43 -MATHEMATICS
  1. The eccentricity of the hyperbola x ^(2) - 3 y ^(2) - 2x - 8 = 0 is

    Text Solution

    |

  2. The point (2a, a ) lies inside the region bounded by the parabola x ^(...

    Text Solution

    |

  3. Let A be (100, 50) , a point B on the line y = x and point C on x-axis...

    Text Solution

    |

  4. If the line (x - 2)/( 3) = (y +1)/(2) = (z -1)/(-1) intersects the pla...

    Text Solution

    |

  5. If veca = veci + vecj + veck, vecb= 4 veci + 3 vecj + 4 veck and vec...

    Text Solution

    |

  6. If f (x) = || sin (|x| - 2) | - 3|, then

    Text Solution

    |

  7. Let f be a composite function of x defined by f (u) = (1)/( u ^(2) +...

    Text Solution

    |

  8. int ( 3e ^(x) -5e ^(-x))/( 4e ^(x) + 5e ^(-x)) = ax + b ln then (4e ...

    Text Solution

    |

  9. Let f (x+y) = f (x). f (y) for all x and y and f (1) = 2 . If in a tri...

    Text Solution

    |

  10. Let f (x) = sin x + 2 sin^(2) x + 3 sin ^(3) x + 4 sin ^(4) x + .... o...

    Text Solution

    |

  11. If theta = sin ^(-1) ((4)/(5)) + sin ^(-1) ((1)/(3)) and theta (2) = c...

    Text Solution

    |

  12. If p is true and q is false then which of the following is having its ...

    Text Solution

    |

  13. Let x be the number of diagonal matrices A of rela etries and order 3 ...

    Text Solution

    |

  14. If d : A to B where A = { 2,3,4} and B {6,2,3,4,5}, then the number of...

    Text Solution

    |

  15. If the function f (x) = x ^(3) + e ^((pi)/(2)) and g (x) = f ^(-1) (x)...

    Text Solution

    |

  16. int (0) ^((1)/(2)) (1 + sqrt3)/( ((x + 1) ^(2) (1 - x ) ^(6) ) ^((1)/(...

    Text Solution

    |

  17. Let f (x) be a differentiable function and satisfying the equation f...

    Text Solution

    |

  18. The mean of 10 terms is 3. If the first term is increased by 1, second...

    Text Solution

    |

  19. Find the value of f (e ^(4.2)), if 3f (x) - f ((1)/(x)) = log x ^(4) ...

    Text Solution

    |

  20. Let F (x) = int (x) ^((pi)/(3) + x ^(2)) 2 cos^(2) t dt, x in Rand f ...

    Text Solution

    |