Home
Class 12
MATHS
The point P(1,1) is translated parallel ...

The point P(1,1) is translated parallel to 2x=y in the first quadrant through a unit distance. The coordinates of the new position of P are

A

`(1+-2/(sqrt(5)),1+-1/(sqrt(5)))`

B

`(1+-1/(sqrt(5)),1+-2/(sqrt(5)))`

C

`(1/(sqrt(5)),2/(sqrt(5)))`

D

`(2/(sqrt(5)),1/(sqrt(5)))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE

    ML KHANNA|Exercise PROBLEM SET(5)(TRUE AND FALSE)|1 Videos

  • RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE

    ML KHANNA|Exercise PROBLEM SET(5)(FILL IN THE BLANKS)|1 Videos

  • RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE

    ML KHANNA|Exercise PROBLEM SET(4)(FILL IN THE BLANKS)|5 Videos

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Self Assessment Test (Multiple Choise Questions)|34 Videos

  • SELF ASSESSMENT TEST

    ML KHANNA|Exercise OBJECTIVE MATHEMATICS |16 Videos

Similar Questions

Explore conceptually related problems

The point P(1,1) is translated parallal to the line 2x=y in the first quadrant through a unit distance.The coordinates of the new position of P are:

The point P(1,1,1) is transiated parallel to 2x=y in the first quadrant through a unith distance. The coordinates of the point in new position are

Let f(x+y)=f(x)*f(y)AA x,y in R,f(1)=2 area enclosed by 3|x|+2|y|<=8 is (f(k))/(k) .The points P(2,6) is translated parallel to y=mx quadrant through a distance of k units.The coordinates of the the new position of P is/are

The point A(2,1) is translated parallel to the line x-y=3 by a distance of 4 units.If the new position A' is in the third quadrant,then the coordinates of A' are (A) (2+2sqrt(2),1+2sqrt(2)(B)(-2+sqrt(2),-1-2sqrt(2))(C)(2-2sqrt(2)1-2sqrt(2))(D) none of these

The point (1,-2) is reflected in the x -axis and then translated parallel to the positive diriection of x-axis through a distance of 3 units,find the coordinates of the point in the new position.

The point (2,1), translated parallel to the line x-y=3 by the distance of 4 units.If this new position A' is the third quadrant,then the coordinates of A' are-

Point P (4, 3) is in the first quadrant. Find the coordinate of the point Q, opposite to P in fourth quadrant.

The point (2,3) is first reflected in the straight line y=x and then translated through a distance of 2 units along the positive direction of x -axis.The coordinates of the transformed point are

Tangent drawn from the point P(4,0) to the circle x^(2)+y^(2)=8 touches it at the point A in the first quadrant.Find the coordinates of another point B on the circle such that AB=4.

ML KHANNA-RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE-PROBLEM SET(5)(MULTIPLE CHOICE QUESTIONS)
  1. The direction in which a straight line must be drawn through the point...

    Text Solution

    |

  2. If the straight line drawn thriough the point P(sqrt(3),2) and making ...

    Text Solution

    |

  3. Each side of a square of length 6 and its centre is at the point (4,5)...

    Text Solution

    |

  4. A line through A(-5,-4) meets the lines x+3y+2=0, 2x+y+4=0, andx-y-5=0...

    Text Solution

    |

  5. The equation of the lines through the point (2,3) and making an interc...

    Text Solution

    |

  6. A line is such that its segments between the straight lines 5x-y=4 and...

    Text Solution

    |

  7. If one vertex of an equilateral triangle of side a lies at the oringin...

    Text Solution

    |

  8. If the centroid and a vertex of an equilateral triangle are (2,3) and ...

    Text Solution

    |

  9. The distance of the point (3,5) from the line 2x+3y-14=0 measured para...

    Text Solution

    |

  10. A line is drawn from P(x(1),y(1)) in the direction theta with the x-ax...

    Text Solution

    |

  11. The point A(2,1) is translated parallel to the line x-y=3 by a distanc...

    Text Solution

    |

  12. The point P(1,1) is translated parallel to 2x=y in the first quadrant ...

    Text Solution

    |

  13. If a line joining two points A(2,0),B(3,1) is rotated about A in antic...

    Text Solution

    |

  14. If the line y-sqrt(3)x+3=0 cuts the parabola y^(2)=x+2 at A and B, the...

    Text Solution

    |

  15. A straight line through the origin 'O' meets the parallel lines 4x +2y...

    Text Solution

    |

  16. Two sides of a rhombus OABC (O being origin) lying entirely in first o...

    Text Solution

    |

  17. The point P(2,1) is shifted through a distance 3sqrt(2) units measured...

    Text Solution

    |

  18. A line making an angle theta with the +ive direction of x-axis passes ...

    Text Solution

    |