Home
Class 12
MATHS
The line P Q whose equation is x-y=2 cut...

The line `P Q` whose equation is `x-y=2` cuts the x-axis at `P ,a n dQ` is (4,2). The line `P Q` is rotated about `P` through `45^0` in the anticlockwise direction. The equation of the line `P Q` in the new position is `y=-sqrt(2)` (b) `y=2` `x=2` (d) `x=-2`

Promotional Banner

Topper's Solved these Questions

  • Coordinates and Straight Lines

    A DAS GUPTA|Exercise EXERCISE|111 Videos

  • Continuity, Differentiability and Graph of Function

    A DAS GUPTA|Exercise Exercise|38 Videos

  • Definite Integration

    A DAS GUPTA|Exercise EXERCISE|62 Videos

Similar Questions

Explore conceptually related problems

The line P Q whose equation is x-y=2 cuts the x-axis at P ,a n dQ is (4,2). The line P Q is rotated about P through 45^0 in the anticlockwise direction. The equation of the line P Q in the new position is (a (a) y=-sqrt(2) (b) y=2 (c) x=2 (d) x=-2

If the line x-y-2=0 is rotated through an angle (pi)/(12) in the clockwise direction about point P(5,3) and equation of line in new position is x-sqrt(3)y+k=0 ,then k is

The equation of one of the lines represented by the equation pq(x^2-y^2)+(p^2-q^2)xy=0 , is

Two straight lines passing through the point A(3, 2) cut the line 2y=x+3 and x-axis perpendicularly at P and Q respectively. The equation of the line PQ is

Point P(x, y) is rotated by an angle theta in anticlockwise direction. The new position of point P is Q (x_(1), y_(1)) . If [(x_(1)),(y_(1))]=A[(x),(y)] , then find matrix A.

Through the point P(4,1) a line is drawn to meet the line 3x-y=0 at Q where PQ(11)/(2)sqrt(2). Determine the equation of line

The point of injtersection of the line x/p+y/q=1 and x/q+y/p=1 lies on the line

A DAS GUPTA-Coordinates and Straight Lines-EXERCISE
  1. The line P Q whose equation is x-y=2 cuts the x-axis at P ,a n dQ is (...

    Text Solution

    |

  2. If a vertex of a triangle is (1,1) , and the middle points of two side...

    Text Solution

    |

  3. If two vertices of a parallelogram are (3,\ 2),\ (-1,\ 0) and the ...

    Text Solution

    |

  4. If a triangle has it's orthocenter at (1,1) and circumcentre (3/2,3/4)...

    Text Solution

    |

  5. One end of a thin straight elastic string is fixed at A(4,-1) and the ...

    Text Solution

    |

  6. Find the centroid and incentre of the triangle whose vertices are (2, ...

    Text Solution

    |

  7. If the vertices of a trianglehave integral coordinates, prove that the...

    Text Solution

    |

  8. Show that the equation of the locus of a point which moves so that the...

    Text Solution

    |

  9. A stick of length l slides with its ends on two mutually perpendicular...

    Text Solution

    |

  10. if x and y coordinates of a point P in x-y plane are given by x=(ucosa...

    Text Solution

    |

  11. A straight line L is perpendicular to the line 5x-y=1 . The area of th...

    Text Solution

    |

  12. Find the equation of the line passing through the point (2,3) and maki...

    Text Solution

    |

  13. The equation of the straight line through the point of intersection of...

    Text Solution

    |

  14. Find the points on the line x+y=4 that lies at a unit distance from th...

    Text Solution

    |

  15. A line is such that its segment between the lines 5x -y+4=0 and 3x +4y...

    Text Solution

    |

  16. lines L1:ax+by+c=0 and L2:lx+my+n=0 intersect at the point P and make ...

    Text Solution

    |

  17. The st. lines 3x + 4y =5 and 4x-3y = 15 interrect at a point A(3,-1)....

    Text Solution

    |

  18. The equations of the perpendicular bisectors of the sides A Ba n dA C ...

    Text Solution

    |

  19. If (h, r) is the foot of the perpendicular from (x1, y1) to lx+my+n=0,...

    Text Solution

    |

  20. Equations of two straight lines are xcos alpha + ysin alpha = p and xc...

    Text Solution

    |

  21. The side AB,BC,CD and DA of a quadrilateral are x+2y=3, x=1, x-3y=4, 5...

    Text Solution

    |