Home
Class 11
MATHS
The point (2,3) is first reflected in th...

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 X-axis. The coordinates of the transformed point are

A

(5,4)

B

(2,3)

C

(5,2)

D

(4,5)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CHANGE OF AXES

    AAKASH SERIES|Exercise Additional Exercise|4 Videos

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise MULTIPLE PRODUCT OF TWO VECTORS|21 Videos

  • COMPOUND ANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II) ADVANCED|5 Videos

Similar Questions

Explore conceptually related problems

The point (4,1) undergoes the following successively (i) reflection about the line y = x (ii) translation through a distance 2 unit along the positive direction of y - axis. The final position of the point is

The point (4,1) undergoes the following transformations successively (i) reflection about the line y = x (ii) translation through a distance 2 units along the positive direction of y-axis . Then find the final position of the point.

Let P be the point (4, 1) and Q be its image in the line y = x. If Q is translated through a distance 2 units along the negative Y-axis to reach the point R, then the co-ordinates of R are

The point P(1,4) occupies the positions A, B and C respectively after undergiong the following three transformation successively. I. Reflection about the line y=x. II. Translation about a distance of 1 unit along the positive direction of X-axis. III. Rotation of the line OB through an angle (pi)/(4) about the origin in the anti-clockwise direction. Then the coordinates of C are

If the point (1, 2) is reflected through the origin and then through the line x=y , then the new coordinates of the point are

A straight line through P(3,4) makes an angle of 60^(@) with the positive direction of the X-axis. Find the coordinates of the points with the line whre are 5 units away from P.

Find the angle made by the straight line y=-sqrt(3)x+3 with positive direction of x-axis.

AAKASH SERIES-CHANGE OF AXES-Practice Exercise
  1. By shifting origin to (-1, 2), the equation y^(2) + 8x - 4y + 12 = 0 c...

    Text Solution

    |

  2. If the transformed equation of curve is 3x^(2) + xy - y^(2) - 7x + y +...

    Text Solution

    |

  3. The coordinate axes are rotated the throughan angle 135^(0) . If the ...

    Text Solution

    |

  4. If the equation y^(2) - 4x + 6y + 17 = 0 changed as y^(2) = 4ax then ...

    Text Solution

    |

  5. The angle of rotation of axes to remove xy terms in the equation 3x^(2...

    Text Solution

    |

  6. The arrangement of the following in ascending order of angle to elimin...

    Text Solution

    |

  7. If the axes are rotated through an angle 30^(0) about the origin then ...

    Text Solution

    |

  8. When axes rotated an angle of (pi)/(3) the transformed form of 7x^(2) ...

    Text Solution

    |

  9. By rotating the axes through an angle of pi the equation x - 2y + 3 =...

    Text Solution

    |

  10. Let L be the line 2x + y - 2 = 0 . The axes rotated by 45^(0) in clock...

    Text Solution

    |

  11. If the transformed equation of curve is 17X^(2) - 16XY + 17y^(2) = 225...

    Text Solution

    |

  12. The angle of rotation of the axes so that the equation x + y - 6 = 0 m...

    Text Solution

    |

  13. The angle of rotation of the axes so that the equation sqrt(3)x - y + ...

    Text Solution

    |

  14. By rotating the axes at an angle alpha if (4,2) in the new system form...

    Text Solution

    |

  15. If (4,2sqrt(3))is the transformed form of (2 sqrt(3),5) by rotating th...

    Text Solution

    |

  16. Statement - I : When the axes are rotated through an angle alpha the t...

    Text Solution

    |

  17. Assertion (A) : The equation of a circle is x^(2) + y^(2) = 9 on rotat...

    Text Solution

    |

  18. The point (4,1) undergoes the following successively (i) reflectio...

    Text Solution

    |

  19. The point (4,1) undergoes the following transformations successively ...

    Text Solution

    |

  20. The point (2,3) is first reflected in the straight line y=x and then t...

    Text Solution

    |