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Let the relation R is a set of real numb...

Let the relation R is a set of real numbers be defined as `R={(x,y),y=3x+5}`, If (a,2) and `(4,6b)` belongs to R, the respective values of a,b are :

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EDUCART PUBLICATION-SAMPLE PAPER 11 -SECTION- B
  1. If sin (cot^(-1)(1-x))=cos(tan^(-1)(-x)), then x is

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  2. If A=[(1,-1),(-1,1)] and A^(2)=lamdaA, then the value of lamda is :

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  3. If A=[(1,2),(3,-1)]" and B "=[(1,3),(-1,1)], then matrix AB is a :

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  4. If y=sin t -cos t and x=sin t+cost, then (dy)/(dx) at t=(pi)/(6) is :

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  5. The interval in which the function f(x)=2x^(3)-9x^(2)+12x-15 is increa...

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  6. The equation of tangent to the curve 16x^(2)+9y^(2)=145 at the (2,y(1)...

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  7. If x = cos theta and y = sin^(3) theta, then |(yd ^(2)y)/(dx ^(2))+((d...

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  8. If the system of linear equations x-y=0,2x+3y+4z=17 and y+2z=7 are wr...

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  9. Simplify: cos theta[{:(costheta,sintheta),(-sintheta,costheta):}]+si...

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  10. The value of sin^(-1)(sin""(2pi)/(3))+cos^(-1)(cos""(7pi)/(6)) is

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  11. Let the relation R is a set of real numbers be defined as R={(x,y),y=3...

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  12. Tangents to the curve y=x^(3)+3x at x=1 and x=-1 are :

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  13. If y=sqrt(x)+(1)/(sqrt(x)), then (dy)/(dx)=

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  14. The adjoint of matrix [(3,2),(-1,4)] is :

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  15. The corner points of a feasible region determined by a system of linea...

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  16. From the matrix equation AB=AC, we conclude B=C provided.

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  17. The derivation of sqrt((1-cosx)/(1+cosx)) w.r.t. x is

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  18. Determine the intervals in which the following functions are strictly ...

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