Home
Class 12
MATHS
The point (4,1) undergoes the following ...

The point (4,1) undergoes the following three successive transformations ,
reflection about the line `y = x-1`
translation through a distance 1 unit along the positive direction
rotation thrpough an angle `pi/4` about the origin in the anti - clockwise direction
Then the coordinates of the final point are ,

A

`(4,3)`

B

`(7/2,7/2)`

C

`(0,3sqrt(2))`

D

`(3,4)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|12 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 6|12 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

The point (4, 1) undergoes the following three transformations successively: (a) Reflection about the line y = x (b) Translation through a distance 2 units along the positive direction of the x-axis. (c) Rotation through an angle pi/4 about the origin in the anti clockwise direction. The final position of the point is given by the co-ordinates.

The point P (a,b) undergoes the following three transformations successively : (a) reflection about the line y = x. (b) translation through 2 units along the positive direction of x-axis. (c) rotation through angle (pi)/(4) about the origin in the anti-clockwise direction. If the co-ordinates of the final position of the point P are ( - (1)/( sqrt(2)), (7)/( sqrt(2))) , then the value of 2 a - b is equal to :

The point (4,1) undergoes the following three transformations successively-

The point (4,1) undergoes the following two successive transformations (i) Reflection about the line y=x (ii) Translation through a distance 2 units along the positive X-axis. Then the final coordinate of the point are

The point (3,2) undergoes the following three transformations in the order given (i) Reflection bout the line y=x (ii) Translation by the distance 1 unit in the positive direction of x -axis (iii) Rotation by an angle (pi)/(4) about the origin

The point (1,3) undergoes the following transformations successively (i) Reflection with respect to the line y=x (ii) translation through 3 units along the positive direction of the X-axis (ii) Rotation through an angle (pi)/(6) about the origin in the clockwise direction. The final position of the point P is

The point (3, 2) undergoes the following transformations successively (i) Reflection with respect to the line y=x (ii) translation through 3 units along the positive direction of the X-axis (iii) Rotation through an angle of pi/6 about the origin in the clockwise direction. The final position of the point P is

The point A(4, 1) undergoes following transformations successively:reflection about line y=x translation ,through a distance of 3 units in the positive direction of x-axis(iii) rotation through an angle 105^@ in anti-clockwise direction about origin O.Then the final position of point A is

The line joining the points A(2,0) and B(3,1) is rotated through an angle of 45^@ about A in the anticlock- wise direction The coordinates of B in the new position

ARIHANT MATHS-THE STRAIGHT LINES-Exercise (Single Option Correct Type Questions)
  1. If p(1),p(2),p(3) be the length of perpendiculars from the points (...

    Text Solution

    |

  2. A B C D is a square whose vertices are A(0,0),B(2,0),C(2,2), and D(0,2...

    Text Solution

    |

  3. The point (4,1) undergoes the following three successive transformatio...

    Text Solution

    |

  4. If the square ABCD, where A(0,0),B(2,0)C(2,2) and D(0,2) undergoes the...

    Text Solution

    |

  5. The line x+y=a meets the axes of x and y at A and B respectively. A ...

    Text Solution

    |

  6. If P(1,0), Q(-1,0) and R (2,0) are three given points, then the locus ...

    Text Solution

    |

  7. If A((sin alpha)/3 - 1,(cos alpha)/2 - 1) and B(1,1) alpha in [ -pi,pi...

    Text Solution

    |

  8. The line x+y=1 meets X-axis at A and Y-axis at B,P is the mid-point of...

    Text Solution

    |

  9. The line x = c cuts the triangle with corners (0,0) , (1,1) and (9,1) ...

    Text Solution

    |

  10. If the straight lines x+2y=9,3x-5y=5 and ax+by=1 are concurrent , then...

    Text Solution

    |

  11. If the ends of the base of an isosceles triangle are at (2, 0) and (0,...

    Text Solution

    |

  12. Let m ,n are integers with 0<n<mdot A is the point (m ,n) on the Carte...

    Text Solution

    |

  13. A straight line l with negative slope passes through (8,2) and cuts th...

    Text Solution

    |

  14. Drawn from origin are two mutually perpendicular lines forming an iso...

    Text Solution

    |

  15. The number of integral values of m for which the x-coordinate of the p...

    Text Solution

    |

  16. A ray of light coming fromthe point (1, 2) is reflected at a point A o...

    Text Solution

    |

  17. Consider the family of lines 5x+3y-2 + lambda (3x-y-4)=0 and x-y+1 +...

    Text Solution

    |

  18. In Delta ABC equation of the right bisectors of the sides Ab and AC ar...

    Text Solution

    |

  19. Two particles start from point (2, -1), one moving two units along the...

    Text Solution

    |

  20. Let P be (5,3) and a point R on y = x and Q on the X - axis be such th...

    Text Solution

    |