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If (cos alpha, cos beta) are new co-ordi...

If `(cos alpha, cos beta)` are new co-ordinates of P when the axes are translated to the point (1,1) then original co-ordinates of P are .

A

`(2 cos^(2)"" (alpha)/(2), 2 cos^(2)""(beta)/(2))`

B

`(2 sin^(2)"" (alpha)/(2), 2 sin^(2)""(beta)/(2))`

C

`(2 cos""(alpha)/(2), 2 cos""(beta)/(2))`

D

`(2 sin""(alpha)/(2), 2 sin""(beta)/(2))`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-CHANGE OF AXES-Exercise - 1
  1. Origin shifted to the point (1, 2) without changing the direction of t...

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  2. If the point (3, -2) transformed to (-2, 1) when origin shifted to P t...

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  3. If (cos alpha, cos beta) are new co-ordinates of P when the axes are t...

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  4. To remove the first degree terms of the equation 2xy+ 4y- 2y + 7 = 0 t...

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  5. The point to which (0,0) is to be shifted to eliminate x and y terms o...

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  6. To remove the x and y terms of the equation 14x^(2) - 4xy + 11y^(2) -...

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  7. When (0,0) shifted to (2, -2) the transformed equation of (x - 2)^(2) ...

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  8. The transformed equation of x^(2) - y^(2) + 2x + 4y = 0 when the origi...

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  9. The origin shifted to (1,2) then the equation y^(2) - 8x - 4y + 12 = ...

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  10. By translation of axes the equation xy - x + 2y - 6 = 0 changed as x...

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  11. If (0,0) shifted to a point on the x axis then 2x + 3y - 6 = 0 reduce...

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  12. When the origin shifted to a suitable point P, the equation 2x^(2) + y...

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  13. Shift the origin to a suitable point so that the equation y^(2) + 4y +...

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  14. When origin (0,0) shifted to (2,3) then the original equation of x^(2)...

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  15. When (0,0) shifted to (3,-3) the co-ordinates of P, Q, R are (5, 5), (...

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  16. (6,6) is a point on the circle x^(2) + y^(2) - 4x - 6y - 12 = 0 by tra...

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  17. Find the condition that the equation ax^(2) + 2hxy + by^(2) + 2gx + 2f...

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  18. Assertion (A) : If the area of triangle formed by (0,0), (-1,2),(1,2) ...

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  19. If the axes are rotated through an angle of 45^(0) and the point p has...

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  20. If the axes are rotated through an angle 45^(0) in the anti-clockwise...

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