Home
Class 11
MATHS
A square is constructed on the portion o...

A square is constructed on the portion of `x + y = 5`, which is intercepted between the axes on the side of the line away from origin. The equations to the diagonals of the square are

A

x=5, y=-5

B

x=-5 , y=5

C

x=5, y=5

D

x-y=5 , x-y=-5

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    MARVEL PUBLICATION|Exercise MUTIPLE CHOICE QUESTIONS|78 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|139 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|175 Videos

Similar Questions

Explore conceptually related problems

On the portion of the line x+3y-3=0 which is intercepted between the coordinate axes, a square is constructed on the side of the line away from the origin. Find the coordinates of the point of intersection of its diagonals. Also, find the equations of its sides.

The length of the portion of the straight line 3x + 4y = 12 intercepted between the axes is

The length of the portion of the straight line 8x + 15 y = 120 intercepted between the axes is

On the portion of the straight line,x+2y=4 intercepted between the axes,a square is constructed on the sideef the line away from the origin.Then the point of intersection of its diagonals has co-ordinates

On the portion of the straight Straight Line from line xxx + y = 2xx which is intercepted between the axes, a square is constructed away from the origin with this portion as on of its side. If p denotes the perpendicular distance of a side of this square from the origin, then the maximum value of p is A) xxsqrt2 xx (B) xx2 sqrt2 xxC) xx3 sqrt2xx D) xx4 sqrt2xx

One side of a square is inclined to the x-axis at an angle alpha and one of its extremities is at the origin. If the side of the square is 4 , find the equations of the diagonals of the square.

If the mid- point of the portion of a line intercepted between ithe co-ordinate axes is (4,5) find the equation of the line.

MARVEL PUBLICATION-STRAIGHT LINE-MISCELLANEOUS MCQS
  1. The equation of the line passing through (1,-2) and parallel to the li...

    Text Solution

    |

  2. The equation of the line passing through (2,-4) and perpendicular form...

    Text Solution

    |

  3. · The co-ordinates of foot of the perpendicular from the point (2, 4) ...

    Text Solution

    |

  4. Find the coordinates of the foot of the perpendicular drawn from the p...

    Text Solution

    |

  5. The value of k such that the lines 2x-3y+k=0,3x-4y-13=0 and 8x-11y-33=...

    Text Solution

    |

  6. A line passes through the point (2,2) and is perpendicular to the lin...

    Text Solution

    |

  7. A square is constructed on the portion of x + y = 5, which is interce...

    Text Solution

    |

  8. The equation of the line with gradient -3/2 which is concurrent with t...

    Text Solution

    |

  9. The equations ax+by+c=0 and dx+ey+f=0 represent the same straight lin...

    Text Solution

    |

  10. Let P S be the median of the triangle with vertices P(2,2),Q(6,-1)a...

    Text Solution

    |

  11. If the lines ax+12y+1=0 bx+13y+1=0 and cx+14y+1=0 are concurrent then ...

    Text Solution

    |

  12. If (-4,5) is a vertex of a square and one of its diagonal is 7x-y+8-0....

    Text Solution

    |

  13. The new co-ordinates of the point (4,5) when the origin is shified to ...

    Text Solution

    |

  14. A straight line moves so that the sum of the reciprocals of its interc...

    Text Solution

    |

  15. the lines (p+2q)x+(p-3q)y=p-q for different values of p&q passes troug...

    Text Solution

    |

  16. Show that the straight line x(a+2b)+y(a+3b)=(a+b) for different values...

    Text Solution

    |

  17. The diagonals of a parallelogram ABCD are along are the lines x+3y=4 a...

    Text Solution

    |

  18. If a+b+c=0 then the line 3ax+by+2c=0 passes through the fixed point

    Text Solution

    |

  19. Equation of a straight line passing through the point of intersection ...

    Text Solution

    |

  20. The lines x cos alpha + y sin alpha = P1 and x cos beta + y sin beta =...

    Text Solution

    |