Home
Class 11
MATHS
(i) If the axes are rotated through an a...

(i) If the axes are rotated through an angle `30^(0)` , then find the coordinates of (1,2) in the new system .
(ii) If the axes are rotated through an angle `30^(0)`, then find the coordinates of (-2, 4) in the new system.
(iii) When the axes are rotated through an angle `(pi)/(2)` , find the new coordinates of the point `(alpha, 0)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `((sqrt(3) + 2)/( 2), (-1 + sqrt(3))/( 2))`
(ii) `(2 - sqrt(3), 1 + 2 sqrt(3))`
(iii) `(0, - alpha)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CHANGE OF AXES

    AAKASH SERIES|Exercise Exercise - 2. 2 (Short answer questions)|7 Videos

  • CHANGE OF AXES

    AAKASH SERIES|Exercise Additional Exercise|4 Videos

  • CHANGE OF AXES

    AAKASH SERIES|Exercise Exercise - 2. 1 (Short answer questions)|7 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

If the axes are rotated through an angle 30^(0) , then find the coordinates of (0, 5) in the new system.

When the axes are rotated through an angle 30^(@), find the new coordinates of the point (0,0)

Knowledge Check

  • If the axes are rotated through an angle 60^(@) then the cpprdinates of a point (2,-4sqrt3) in the old system are

    A
    `(5 sqrt3,-7)`
    B
    `(7,-sqrt3)`
    C
    `(3sqrt3,-5)`
    D
    `(-1,-5)`

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

    A
    `(3sqrt(3),-5)`
    B
    `(-1,-5)`
    C
    `(5sqrt(3),-7)`
    D
    `(7-sqrt(3))`

    • Similar Questions

    Explore conceptually related problems

    When the axes are rotated through an angle 30^(@), find the new coordinates of the point (0,5)

    When the axes are rotated through an angle 30^(@), find the new coordinates of the point (-2,4)

    If the axes are rotated through an angle 60^(0) , fine the coordinates of the point (6sqrt3,4) in the new system.

    When the axes are rotated through an angle 60^(@), the new - co-ordinnates of three point are the (3,4)

    When the axes are rotated through an angel 60^(@), the new - co-ordinnates of three point are the (2,0)

    When the axes are rotated through an angel 60^(@), the new - co-ordinnates of three point are the (-7,2)

    Home
    Profile