Home
Class 11
MATHS
The locus of the midpoint of the portion...

The locus of the midpoint of the portion of the line `x cos alpha+y sin alpha=p` intercepted between the axes is

A

`p^(2)(x^(2)+y^(2))=2x^(2)y^(2)`

B

`p^(2)(x^(2)+y^(2))=4x^(2)y^(2)`

C

`p^(2)(x^(2)+y^(2))=x^(2)y^(2)`

D

`p^(2)(x^(2)+y^(2))=16x^(2)y^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas)(Straight Objective Type Question)|30 Videos
  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas) (More than one correct answer Type Question)|1 Videos
  • STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE -II|92 Videos
  • REVISION EXERCISE

    AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos
  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

Similar Questions

Explore conceptually related problems

Find the locus of the midpoint of the portion of a straight line distant p from the origin intercepted between the axes.

The variable line x//a+y//b=1 is such that a+b=10 . The locus of the midpoint of the portion of the line intercepted between theaxes is

The locus of the point of intersection of the lines x cos alpha + y sin alpha=a and x sin alpha-y cos alpha=b , where alpha is a parameter is

The locus of the midpoint of the portion between the axes of xcosalpha+ysinalpha = p , where p is constant, is

The locus of the point of intersection of the lines x cos alpha+y sin alpha =a and x sin alpha-y cos alpha=b , where alpha is a parameter is

Reduce the equation of the line x cos alpha+y sin alpha-p=0 into intercepts form

p is the length of the perpendicular drawn from the origin upon a straight line then the locus of mid point of the portion of the line intercepted between the coordinate axes is

AAKASH SERIES-STRAIGHT LINES-PRACTICE EXERCISE
  1. If a st. line passes through the point (1/5,1/5) and ab=1/6 where a,b ...

    Text Solution

    |

  2. The equation of the line passing through the point P(2,-5) such that P...

    Text Solution

    |

  3. The locus of the midpoint of the portion of the line x cos alpha+y sin...

    Text Solution

    |

  4. A variable straight line drawn through the point of intersection of th...

    Text Solution

    |

  5. The area of the triangle formed by the axes and the line cos h alpha- ...

    Text Solution

    |

  6. The area (in square units) of the triangle formed by the lines x=0, y=...

    Text Solution

    |

  7. Equation of straight line which is 10 units from origin and normal ray...

    Text Solution

    |

  8. The perpendicular distance from the origin to a line L is 7 and the li...

    Text Solution

    |

  9. The normal form of line sqrt(3)x=y+4=0 is

    Text Solution

    |

  10. Symmeric form of the line through (1,1) having slope -1 is

    Text Solution

    |

  11. If the line (x-1)/2=(y-2)/3=t intersects the line x+y=8 then t=

    Text Solution

    |

  12. The line segment joinign A(3,0),B(5,2) is rotated about a point A in a...

    Text Solution

    |

  13. The line AB whose equation is x-y=2 cuts the x-axis at A and B is (4,2...

    Text Solution

    |

  14. The distance of the line 3x-y=0 from the point (4,1) measured along a ...

    Text Solution

    |

  15. The distance of the line x+y-8=0 from (4,1) measured along the directi...

    Text Solution

    |

  16. If the lines x+y+mu=0 and lamdax-5y-5=0 are identical then lamda+mu=

    Text Solution

    |

  17. If the lines 2x+2y+3=0 and x+y+1=0 are parallel then the distance betw...

    Text Solution

    |

  18. The ratio in which the line passing through the points (-1,2),(2,-3) d...

    Text Solution

    |

  19. With respect to the line 3x-4y=8, then points (2,3),(-4,5) are

    Text Solution

    |

  20. The equation of the straight line |r to 5x-2y=7 and passing through po...

    Text Solution

    |