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The transformed equation of x^(2) - 2sqr...

The transformed equation of `x^(2) - 2sqrt(3)xy -y^(2) =2a^(2)` when the axes are rotated through an angle `60^(@)` is

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SRISIRI PUBLICATION-QUESTION PAPER -SECTION - B
  1. Find the locus of P(x,y) which moves such that its distances from A(5,...

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  2. When the origin is shifted to the point (2 , 3) the transformed equati...

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  3. The transformed equation of x^(2) - 2sqrt(3)xy -y^(2) =2a^(2) when the...

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  4. When the axes are rotated through an angle alpha, find the transformed...

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  5. When the axes are rotated through an angle 45^@, the transformed equat...

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  6. Prove that the angle of rotation of the axes to eliminate xy term from...

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  7. Transform the equation x/a+y/b=1 into normal form where agt0, bgt0. If...

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  8. Find the points on the line 3x-4y-1=0 which are at a distance of 5 uni...

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  9. The value of k such that the lines 2x-3y+k=0, 3x-4y-13=0 and 8x-11y-33...

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  10. If the straight lines ax+by+c=0, bx+cy=a=0 and cx=ay+b=0 are concurren...

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  11. Find the equation of the line passing through the point of intersectio...

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  12. Find the value of k if the angle between the straight lines 4x-y+7=0, ...

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  13. A straight line with slope 1 passes through Q(-3,5) and meets the stra...

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  14. Show that f(x)={{:((cosax-cosbx)/(x^(2))," if " xne0),((1)/(2)(b^(2)...

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  15. If f is given by f(x)={{:(k^(2)x-k,"if "xge1),(2,"if "xlt1):} is a co...

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  16. Is f given by f(x)={{:((x^2-9)/(x^2-2x-3)" if "0ltxlt5 " and "xne3),(1...

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  17. Find the derivative of sin2x from the first principles .

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  18. Find the derivative of cosax from the first Principle.

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  19. Find the derivative of tan2x from the first principle.

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  20. Find the derivative of cos^(2)x from the first principle.

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