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Find the value of (x-y) from the matrix equation `2[(x,5),(7,y-3)]+[(-3,-4),(1,2)]=[(7,6),(15,14)]`

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find the values of x,y and zfrom the following equations : (i) [{:(4,3),(x,5):}]=[{:(y,z),(1,5):}] (ii) [{:(x+y,2),(5+z,xy):}]=[{:(6,2),(5,8):}] (iii) [{:(x+y+z),(x+z),(y+z):}]=[{:(9),(5),(7):}]

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Find the values of x,y,z and a which satisfy the matrix equation [[x+3,2y+xz-1,4a-6]]=[[0,-73,2a]]

From the following equation, find the values of x and y: 2[[x,5],[7,y-3]]+[[3,4],[1,2]]=[[7,14],[15,14]]

Find the value of x and y, when (i) [{:(x+y),(x-y):}]=[{:(8),(4):}] (ii) [{:(2x+5," "7),(" "0,3y-7):}]=[{:(x-3," "7),(" "0,-5):}] (iii) 2[{:(x," "5),(7,y-3):}]+[{:(3,-4),(1," "2):}]=[{:(7,6),(15,14):}]

[" ,"y,z" And "a" Find the values of which satisfy the following matrix equation "],[[x+3,2y+x],[z-1,4a-6]]=[[0,-7],[3,2a]]]

XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. If y=(sinx)^x+sin^(-1)sqrt(1-x^2) then find (dy)/(dx)

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  2. 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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  3. Find the value of (x-y) from the matrix equation 2[(x,5),(7,y-3)]+[(-...

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  4. int cos2x*cos4x*cos6x dx

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  5. Solve the following differential equation: (y+3x^2)(dx)/(dy)=x

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  6. Prove that sin^(-1)(4/5)+tan^(-1)(5/12)+cos^(-1)(63/65)=pi/2

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  7. Find the angle between the line vec r = (2 hat i-hat j +3 hat k)+ lamb...

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  8. Find the interval in which the function f given by f(x)=sin2x+cos2x, 0...

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  9. Using vectors, prove that the points (2,-1,3) ,(3,-5,1) and (-1,11,9) ...

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  10. Obtain the inverse of the following matrix, using elementary operation...

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  11. Using vectors, find the value of x such that the four points A(x,5,-1)...

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  12. For any two vectors vec a and vec b , prove that (vec a xx vec b )^2=...

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  13. Find the co-ordinates of the point, where the line ((x+2)/1)=((y-5)/3)...

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  14. Using matrices solve the following system of linear equations: {(2x+3y...

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  15. Find int ((x-1)/ ((x-2)(x-3))) dx

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  16. Differentiate tan^(-1)((3x-x^3)/(1-3x^2)), |x|<1/sqrt3 w.r.t tan^(-1)(...

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  17. Evaluate: int(e^x)/(sqrt(5-4e^x-e^(2x))) dx

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  18. Find the differential equation representing the family of curves y=-Ac...

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  19. If sqrt(1-x^2) + sqrt(1-y^2) = a(x-y), show dy/dx = sqrt((1-y^2)/(1-x^...

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  20. Find the area of the region {(x, y) : y^2 <=6ax and x^2+y^2<=16a^2} ...

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