Home
Class 11
MATHS
A(-1,1)B(5,3) are the opposite vertices ...

`A(-1,1)B(5,3)` are the opposite vertices of a square. Perpendicular distance from (1,2) to the other diagonal (which is not passing through A,B) of the square is

A

`1/(sqrt(10))`

B

`2/(sqrt(10))`

C

`3/(sqrt(10))`

D

`4/(sqrt(10))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|102 Videos

  • 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 EXERCISE I|57 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

A(-1,1),B(5,3) are opposite vertices of a square in the XY-plane. Find the equation of the other diagonal (not passing through A,B) of the square.

A(-1, 1), B(5, 3) are opposite vertices of a square. The equation of the other diagonal (not passing through A, B) of the square is

If (2,1), (-2, 5) are two opposite vertices of square then the area of the square is

The algebraic sum of the perpendicular distances from A, B, C to a variable line is 0. Then the line passes through

Two opposite vertices of a square are (1, -2) and (-5, 6) then the length of the side is

Are the points (1,8)(2,5)(1,2)(4,4) are the vertices of a square.

If the opposite vertices of a square are (-2,3) and (8,5) find the equations of the sides of the square.

AAKASH SERIES-STRAIGHT LINES-EXERCISE -II
  1. A straight line L is drawn through the point A(2,1) is such that its p...

    Text Solution

    |

  2. If one vertex of an equilateral triangle of side a lies at the origin ...

    Text Solution

    |

  3. A(-1,1)B(5,3) are the opposite vertices of a square. Perpendicular dis...

    Text Solution

    |

  4. The equation of line midway between the lines 2x-y+3=0,y=2x-4 and para...

    Text Solution

    |

  5. The perpendicular distance from origin to the line passing through P(...

    Text Solution

    |

  6. The equation of the perpendicular bisector of a line segment bar(AB) i...

    Text Solution

    |

  7. The equation to the base of a equilateral triangle is x+y=2 and one ve...

    Text Solution

    |

  8. If P,Q are two points on the line 3x+4y+15=0 such that OP=OQ=9, then t...

    Text Solution

    |

  9. If the base of an isosceles triangle is of length 2P and the length of...

    Text Solution

    |

  10. The coordinate axes are roted about the origin O in the counterclockwi...

    Text Solution

    |

  11. If p(1),p(2) are the perpendicular distance from the origin to the two...

    Text Solution

    |

  12. The algebraic sum of the perpendicular distances from A(x(1),y(1)),B(x...

    Text Solution

    |

  13. If p and q are the perpendicular distances from the origin to the stra...

    Text Solution

    |

  14. If a line I passes through (k, 2k), (3k , 3k) and (3,1), k ne 0, then ...

    Text Solution

    |

  15. If the points (1,2) and (3,4) were to be on the opposite side of the l...

    Text Solution

    |

  16. Let O be the origin A(3, -2), B(1, 2) and C(1, 1). The pair of points ...

    Text Solution

    |

  17. A line L cuts the sides AB, BC of Delta ABC in the ratio 2:5, 7:4 res...

    Text Solution

    |

  18. Let ABC be a triangle. If P is a point such that AP divides BC in the ...

    Text Solution

    |

  19. The ratio in which the line 3x+4y+2=0 divides the distance between 3x+...

    Text Solution

    |

  20. The equation of the straight line passing through the point of interse...

    Text Solution

    |