Home
Class 12
MATHS
Let S be the set of points whose absciss...

Let `S` be the set of points whose abscissas and ordinates are natural numbers. Let `P in S` such that the sum of the distance of `P` from `(8, 0) and (0, 12)` is minimum among all elements in `S.` Then the number of such points `P` in `S` is

A

1

B

3

C

5

D

11

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MTG-WBJEE|Exercise WB JEE Previous Years Questions|28 Videos
  • STATISTICS AND PROBABILITY

    MTG-WBJEE|Exercise WB JEE Previous Years Questions ( CATEGORY 3 : One or More than One Option Correct Type ( 2 Marks) )|3 Videos
  • THREE DIMENSIONAL GEOMETRY

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 1 : Single Option Correct Type)|10 Videos

Similar Questions

Explore conceptually related problems

The equation of the set of all point the sum of whose distances from the points (2, 0) and (-2, 0) is 8

Find the equation of the set of all points the sum of whose distance from the points (3,0) and (9,0) is 12 .

Let S be the set of all points in (-pi, pi) at which the Then, S is a subset of which of the following?

Let P be the set of prime numbers and let S={t|2^(t)-1 is a prime }. Prove that S sub P.

Coordinate of point P on a number line is 5. What are the co-ordinates of points on the number line which are a distance of 8 units from P?

If P denotes the perimeter and S denotes the sum of the distances of a point within a triangle from its angular points, then

Let S be a non-empty subset of R. Consider the statement P : There is a rational number x in S such that x gt 0 . Which of the following statements is the negation of the statement P ?

MTG-WBJEE-STRAIGHT LINES-WB JEE Previous Years Questions
  1. The line AB cuts off equal intercepts 2a from the axes. From any point...

    Text Solution

    |

  2. The line through the points (a, b) and (-a, - b) passes through the po...

    Text Solution

    |

  3. Let S be the set of points whose abscissas and ordinates are natural n...

    Text Solution

    |

  4. x + 8y -22=0, 5x +2y-34 =0, 2x - 3y +13 = 0 are the three sides of a t...

    Text Solution

    |

  5. Transforming to parallel axes through a point (p, q), the equation 2(x...

    Text Solution

    |

  6. Let A (2,-3) and B (-2,1) be the vertices of Delta ABC. If the centro...

    Text Solution

    |

  7. The point P(3, 6) is first reflected on the line y = X and then the im...

    Text Solution

    |

  8. Let d1 and d2 be the lengths of the perpendiculars drawn from any po...

    Text Solution

    |

  9. The point Q is the image of the point P(1,5) about the line y=x and R ...

    Text Solution

    |

  10. The vertices of a triangle are A (-1, -7), B (5, 1) and C(1, 4). The ...

    Text Solution

    |

  11. The variable line drawn through the point (1, 3) meets the x-axis at A...

    Text Solution

    |

  12. A straight line L through the point (3,-2) is inclined at an angle 60^...

    Text Solution

    |

  13. A variable line passes through the fixed point (alpha, beta). The locu...

    Text Solution

    |

  14. If the point of intersection of the line 2ax + 4ay+c =0 and 7bx +3by-d...

    Text Solution

    |

  15. The equation x^3-yx^2+x-y= 0 represents

    Text Solution

    |

  16. A (-1, 0) and B (2, 0) are two given points. A point M is moving in s...

    Text Solution

    |

  17. A line cuts the X-axis at A (5,0) and the Y-axis at B(0,-3). A variabl...

    Text Solution

    |

  18. The polar coordinate of a point P is (2, -(pi)/(4)). The polar coordin...

    Text Solution

    |

  19. The coordinates of a point on the line x+y+1=0 which is at a distance...

    Text Solution

    |

  20. The area of the triangle formed by the intersection of a line parallel...

    Text Solution

    |