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The transformed equation of 3x^(2)+3y^(2...

The transformed equation of `3x^(2)+3y^(2)+2xy-2=0` when the coordinats axes are rotated through an angle of `45^(@)`, is

A

`X^(2)+2Y^(2)=1`

B

`2X^(2)+Y^(2)=1`

C

`X^(2)+Y^(2)=1`

D

`X^(2)+3Y^(2)=1`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-CARTESIAN CO-ORDINATE SYSTEM -Exercise
  1. If P(3,7) is a point on the line joining A(1,1) and B(6,16), then the ...

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  2. The coordinates of the centrid of a triangle having its circumcentre a...

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  3. The mid-point of the sides of a DeltaABC are D(6,1) ,E(3,5) and F(-1,-...

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  4. If the coordinates of orthocentre O' are centroid G of a DeltaABC are ...

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  5. The ratio in which the y-axis divides the line segement joining (4,6),...

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  6. If C and D are the points of internal and external division of line se...

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  7. If the centroid of a triangle is (1,\ 4) and two of its vertices...

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  8. A triangle with vertices (4, 0), (-1,-1), (3,5), is

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  9. The angle through which the coordinates axes be rotated so that xy-ter...

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  10. In order to make the first degree terms missing in the equation 2x^2+7...

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  11. When the origin is shifted to a suitable point, the equation 2x^2+y^2-...

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  12. If by shifting the origin at (1,1) the coordinates of a point P become...

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  13. By rotating the coordinates axes through 30^(@) in anticlockwise sens...

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  14. In Delta ABC, the sides BC =5,CA=4 and AB=3. If A-=(0,0) and the inter...

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  15. The harmonic conjugate of (4,-2) with respect to (2,-4) and (7,1) is

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  16. If the coordinates of the centroid and a vertex oc an equilaterqal tri...

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  17. The transformed equation of 3x^(2)+3y^(2)+2xy-2=0 when the coordinats ...

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  18. The transformed equation of x^(2)+6xy+8y^(2)=10 when the axes are rota...

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  19. Let 0 le theta le pi/2 and x=X cos theta + Y sin theta, y=X sin theta ...

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  20. If X=x cos theta-y sin theta, Y=x sin theta+y cos theta and X^(2)+4XY...

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