Home
Class 12
MATHS
One diagonal of a square is the portion ...

One diagonal of a square is the portion of the line `(x)/(a)+(y)/(b)=1`. Intercepte by the coordinate axe. Find the coordinates of the ends of its other diagonal.

Text Solution

Verified by Experts

The correct Answer is:
`((a+b)/(2), (a+b)/(2)) and ((a-b)/(2),(b-a)/(2))`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (THREE DIMENSIONAL COORDINATE GEOMETRY)|10 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise CALCULUS|84 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise ALGEBRA|141 Videos

  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

One diagonal of a square is the portion of the straight line 7x+5y=35 intercepted by the axes. Obtain the coordinates of the extremities of other diagonal.

If one diagonal of square is the portion of the line x/a+y/b=1 intercepted by the axes, then the extremities of the other diagonal of the square are :

One of the diagonals of a square is the portion of the line x/2+y/3=2 intercepted between the axes. Then the extremities of the other diagonal are: (a) (5,5),(-1,1) (b) (0,0),(4,6) (0,0),(-1,1) (d) (5,5),4,6)

One diagonal of a square is the intercept of the line x/a+y/b=1 between the axes. Find the coordinates of other two vertices

The co-ordinates of the end points of a diagonal of a rectangle are (6, 1) and (12. 9) and other diagonal is parallel to x axis. Find the co-ordinates of the. end point of the other diagonal.

The ends of a diagonal of a rectangle are (2,3) and (8,11) and its other diagonal is parallel to the axis of y. Find the coordinates of the ends of this diagonal .

In a rectangle, the co-ordinates of the end point of a diagonal are (2, 3) and (8, II) and other diagonal is parallel to y axis. Find the co-ordinate of the end points of other diagonal.

A variable straight line through the point of intersection of the two lines (x)/(3)+(y)/(2)=1and(x)/(2)+(y)/(3)=1 meets the coordinate axes at A and B . Find the locus of the middle point of AB.

For the curve x y=c , prove that the portion of the tangent intercepted between the coordinate axes is bisected at the point of contact.

Find the locus of the mid-point of the portion of the line x cosalpha+ysinalpha=4 intercepted between the axes of coordinates.

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)
  1. The equation of two side of a triangle are y=m(1) x and y= m(2)x, wher...

    Text Solution

    |

  2. In a triangle ABC, coordinates of A are (1,2) and the equations of the...

    Text Solution

    |

  3. One diagonal of a square is the portion of the line (x)/(a)+(y)/(b)=1....

    Text Solution

    |

  4. A circle of radius r passes through the origin and intersects the x-ax...

    Text Solution

    |

  5. The coordinates of A,B,C are (2,1) (6,-2) and (8,9) respectively. Find...

    Text Solution

    |

  6. Find the equations to the straight lines passing through the foot of ...

    Text Solution

    |

  7. By parallel transformation of coordinate axes to a properly chosen poi...

    Text Solution

    |

  8. Show thathte coefficients of x^(2),xy and y^(2) "in" ax^(2)+2hxy+by^(2...

    Text Solution

    |

  9. Prove that the area of the triangle with vertices (p,q),(x(1),y(1)) an...

    Text Solution

    |

  10. The base of triangle passes through a fixed point (f,g) and its other ...

    Text Solution

    |

  11. The straight line ax+by=1 intersect the circle x^(2)+y^(2)=c^(2) at P ...

    Text Solution

    |

  12. The equations of two equal sides AB and AC of an isosceles triangle AB...

    Text Solution

    |

  13. One diagonal of a square is the portion of the straight line 7x+5y=35 ...

    Text Solution

    |

  14. If the straight lines a^(2)x+ay+k=0, b^(2) x+by+k=0 and c^(2)x+cy+k=0 ...

    Text Solution

    |

  15. Show that the circle x^(2)+y^(2)-2y-15=0 lies completely within the ci...

    Text Solution

    |

  16. Two sides of a rhombus ABCD are parallel to the lines x-y=5 and 6x-y=3...

    Text Solution

    |

  17. Two sides of a rhombus lyin in the first quadrant are given by 3x-4y=0...

    Text Solution

    |

  18. A line joining two points A (2,0) and B(3,1) is rotated about A in the...

    Text Solution

    |

  19. A (3,0) and B(6,0) are two fixed points and P(x(1),y(1)) is a variable...

    Text Solution

    |

  20. Find the coordinates of the centroid of the triangle, formed by the li...

    Text Solution

    |