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Let * R*Rvec given by (a , b)veca+4b^2 i...

Let * `R*Rvec` given by `(a , b)veca+4b^2` is a binary operation. Compute `(-5)*2*0)dot`

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Show that F: RxxR->R given by (a ,b)->a+4b^2 is a binary operation.

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Determine whether or not the definition of * On R , define by a*b=a b^2 gives a binary operation. In the event that * is not a binary operation give justification of this. Here, Z^+ denotes the set of all non-negative integers.

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. AB is a diameter of a circle and C is any point on the circumference o...

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  2. Find the distance of the point (-1,-5,-10) from the point of intersect...

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  3. Let * R*Rvec given by (a , b)veca+4b^2 is a binary operation. Compute ...

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  4. The elements a(i j) of a 3xx3 matrix are given by a(i j)=1/2|-3i+j|dot...

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  5. Write the principal value of tan^(-1)[s in-(pi/2)]

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  6. If (2x4)(x-8)=0 , find the positive value of x

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  7. Write the value of |[2, 7, 65],[ 3, 8, 75],[ 5, 9, 86]|

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  8. Find int(sin^6x)/(cos^8x)dxdot

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  9. Evaluate: int(tan^(-1)x)/(1+x^2)dx

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  10. If | vec a|=8,| vec b|=3 and | vec a x vec b|=12 , find the angle betw...

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  11. Find the angle between x-axis and the vector hat i+ hat j+ hat k

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  12. Find the vector vec p which is perpendicular to both vecalpha=4 hat ...

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  13. Find the unit vector perpendicular to plane ABC where the position vec...

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  14. Solve the differential equation x(dy)/(dx)+y=xcosx+sinx , given y(pi/2...

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  15. Two schools, P and Q, want to award their selected students for the...

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  16. Using properties of determinants, show that |b+c a a b c+a b cc a+b|=...

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  17. Let f,g: R-R be two functions defined as f(x)=|x|+x and g(x)=|x|-x , f...

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  18. Write the equation of the straight line through the point (alpha,beta,...

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  19. If y=tan^(-1)(a/x)+logsqrt((x-a)/(x+a)) , Prove that (dy)/(dx)=(2a^3)/...

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  20. Find the value of the constant k so that the function f , defined belo...

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