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If 3x^(2)+xy-y^(2)-3x+6y+K=0 represents...

If `3x^(2)+xy-y^(2)-3x+6y+K=0` represents a pair of lines , then K=

A

9

B

1

C

`-9`

D

0

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KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2002-MATHEMATICS (MCQ.s)
  1. Let nge5 and bne0. In the binomial expansion of (a-b)^(n), the sum of ...

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  2. The digit in the unit place of the number 183!+3^(183) is

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  3. If 3x^(2)+xy-y^(2)-3x+6y+K=0 represents a pair of lines , then K=

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  4. The value of "cos"^(2)(pi)/(12)+"cos"^(2)(pi)/(4)+"cos"^(2)(5pi)/(12) ...

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  5. If 0ltxlt(pi)/(2), then the largest angle of a triangle whose sides ar...

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  6. The general solution of the equation sintheta+costheta=1 is

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  7. The value of sum(k=1)^(6)("sin"(2pik)/(7)-I"cos"(2pik)/(7)) is

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  8. If f(x)={{:(xsin((1)/(x))", if "xne0),(0" , if "x=0):} then at x=0 th...

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  9. If y="tan"^(-1)((cosx-sinx)/(cosx+sinx)), then (dy)/(dx)=

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  10. The differential of e^(x^(3)) with respect to log x is

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  11. If p to(qvvr) is false, then the truth values of p,q,r are respectivel...

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  12. If 5 is one root of the equation |(x,3,7),(2,x,-2),(7,8,x)|=0 then the...

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  13. If veca,vecb,vecc are mutually perpendicular unit vectors then |veca+v...

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  14. If x=2cost+cos2t,y=2 sint-sin2t, then (dy)/(dx) at t=(pi)/(4) is

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  15. The value of int(dx)/(sqrt(2x-x^(2))) is:

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  16. Which of the following functions is a solution of the differential equ...

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  17. y=ae^(mx)+be^(-mx) satisfies which of the following differential equat...

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  18. Solution of the differential equation (dx)/(x)+(dy)/(y)=0 is

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  19. Let the function f:RtoR be defined by f(x)=2x+cosx. Then f

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  20. The perimeter of a sector is p. the area of the sector is maximum when...

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