Home
Class 11
MATHS
By rotating the axes at an angle alpha i...

By rotating the axes at an angle `alpha` if (4,2) in the new system formed as `(2 + sqrt(3), 1 - 2 sqrt(3))` then `alpha` =

A

`(pi)/(6)`

B

`(pi)/(4)`

C

`(pi)/(3)`

D

`(pi)/(2)`

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

When axes rotated an angle of (pi)/(3) the transformed form of 7x^(2) + 2 sqrt(3) xy + 9y^(2) - 8 = 0 is

If the axes are rotated through an angle of 45^(0) and the point p has new co-ordinates (2 sqrt(2), sqrt(2)) then original coordinates of p are

If the axes are rotated through an angle 45^(@) , the coordinates of (2sqrt(2), -3//sqrt(2)) in the new system are

If the corrdinate axes are rotated through an angle (pi)/(6) about the origin, then the transformed equation of sqrt(3)x^(2) - 4xy + sqrt(3)y^(2) = 0 is

If the axes are rotated through an angle 45^(0) in the anti-clockwise direction, the coordinates of (sqrt(2), - sqrt(2)) in the new system are

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

    |