Home
Class 12
MATHS
The variable line (x)/(a)+(y)/(b)=1 is s...

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

A

`x+y=10`

B

`10 x+5 y=1`

C

`x+y=5`

D

`5 x+10 y=1`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|306 Videos

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

Similar Questions

Explore conceptually related problems

A variable line (x)/(a)+(y)/(b)=1 is such that a+b=4. The locus of the midpoint of the portion of the line intercepted between the axes is

The locus of the point x=a cos theta, y=b sin theta is

The locus of the point of the portion of the line x cos alpha-ysin alpha=p which is intercepted between the axes is

The locus of the point x=a+b cos theta y=b+a sin theta is

The locus of the point x=a+sec theta y=b+a tan theta is

The locus of the mid-point of the portion of the line xcos alpha+y sin alpha =p , which is intercepted between the axes is :

Find the equation of the line such that the portion of the line intercepted between the axes is bisected at (3, -2).

The equation of the locus of the middle point of the portion of the tangent to ellipse (x^(2))/(16)+(y^(2))/(9)=1 intercepted between the axes is

If tangents are drawn to the ellipse x^(2)+2 y^(2)=2 then the locus of the midpoint of the intercept made by the tangents between the coordinate axes is

HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. The area of the triangle formed by the coordinate axes and the line 4 ...

    Text Solution

    |

  2. The angle between the lines formed by joining the points (2,-3),(-5,1)...

    Text Solution

    |

  3. The variable line (x)/(a)+(y)/(b)=1 is such that a+b=10 . The locus of...

    Text Solution

    |

  4. If A=(-3,4), B=(-1,-2), C=(5,6), D=(x,-4) are vertices of a quadrilate...

    Text Solution

    |

  5. The angle between the lines x cos alpha + y sin alpha = a and x sin be...

    Text Solution

    |

  6. The coordinates of the foot of the perpendicular from the point (2,3) ...

    Text Solution

    |

  7. If 2 x+3 y+4=0 is the perpendicular bisector of the segment joining th...

    Text Solution

    |

  8. The point of intersection of the lines (x + 1)/(3) = (y + 3)/(5) = (z...

    Text Solution

    |

  9. If non-zero numbers a, b, c are in H.P., then the straight line (x)/(...

    Text Solution

    |

  10. A=(-9,0) and B=(-1,0) are two points. If P(x, y) is a point such that ...

    Text Solution

    |

  11. Let a and b non zero reals such that a ne b then the equation of the l...

    Text Solution

    |

  12. The reflection of the point (6,8) in the line x=y is

    Text Solution

    |

  13. The equation of the line passing through the intersection of the lines...

    Text Solution

    |

  14. If the lines y=4-3 x, a y=x+10 and 2 y+b x+9=0 represent the three con...

    Text Solution

    |

  15. The equation of the line making an intercept of 3 units on Y -axis and...

    Text Solution

    |

  16. The ratio in which the line y=x divides the segment joining (2,3) and ...

    Text Solution

    |

  17. If the points (1, 2) and (3, 4) were to be on the same side of the lin...

    Text Solution

    |

  18. The vertices of a triangle are (6, 0), (0, 6) and (6, 6). The distance...

    Text Solution

    |

  19. If the point x(1)+t(x(2)-x(1)), y(1)+t(y(2)-y(1)) divides the join of ...

    Text Solution

    |

  20. The co-ordinates of the image of the origin O. w.r.t. st. line x+y+1=0...

    Text Solution

    |