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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
- If A=((2,-3,5),(3,2,-4),(1,1,-2)) find A^(-1). Use it to solve the sys...
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- Two numbers are selected at random(without replacement) from the first...
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- Using elementary row transformations, find the inverse of the matrix A...
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- Let A={x in Z:0 le x le 12}. Show that R={(a,b):a,b in A,|a-b| is divi...
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- Show that the function f:R->R defined by f(x)=x/(x^2+1) AA x in R is n...
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- If an operation ** on the set of integers Z is defined by a**b=2a^2+b ...
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- Find the equation of the plane passing through the point <math> <mr...
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- If A is a square matrix of order 2 and |A|=4, then find the value of |...
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- Solve the following differential equation: x[dy]/[dx]sin(y/x)+x-ysin...
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- Four cards are drawn one by one with replacement from a well-shuffled ...
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- int1^5(|x-1|+|x-2|+|x-4|)\ dx
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- Find the particular solution of the differential equation: (1+e^2x)dy+...
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- The probability of two students A and B coming to school are 2/7 and 4...
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- If y=(sinx)^x+sin^(-1)sqrt(1-x^2) then find (dy)/(dx)
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- If x,y,z are different and Delta=|[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z...
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- Find the value of (x-y) from the matrix equation 2[(x,5),(7,y-3)]+[(-...
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- int cos2x*cos4x*cos6x dx
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- Solve the following differential equation: (y+3x^2)(dx)/(dy)=x
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- Prove that sin^(-1)(4/5)+tan^(-1)(5/12)+cos^(-1)(63/65)=pi/2
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- Find the angle between the line vec r = (2 hat i-hat j +3 hat k)+ lamb...
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