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OMEGA PUBLICATION-HP BOARD MARCH 2017-SERIES -C
- The dot product of the two vectors veca and vecb is
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- The distance of the plane 2x-y+2z+3=0 from the point (3,2,1) is
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- If A and b are any two events such that P(A)+P(B)-P(A "and"B)=P(A), t...
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- By using elementary transformation find the inverse of the matrix : A ...
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- Find the values of x and y from the equation 2[(x,5),(y,-3)]+[(3,-4),(...
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- Find the values of k so that the function f, defined by f(x)={(kx+1,"i...
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- Find the intervals in which the function f given by f(x)=4x^(3)-6x^(2)...
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- Form a differential equation representing the family of curves y^(2) =...
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- Let T be the set of all triangles in a plane with R a relation in T gi...
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- Prove that cos^(-1)""(12)/(13)+sin^(-1)""(3)/(5)=sin^(-1)""(56)/(65)
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- Write tan^(-1)((sqrt(1+x^(2))-1)/(x)),xne0 simplest form.
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- Using the properties of determinants, show that |(1+a,1,1),(1,1+b,1),(...
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- Find (dy)/(dx) if xy^2 + y^2 = tan x + y
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- If y = 500e^7x + 600e^-7x show that (d^2y/dx^2) = 49y
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- Evaluate int(x+3)sqrt(3-4x-x^(2))dx
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- Evaluate int e^(x)(1/x-1/(x^(2)))dx.
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- Evaluate : int0^(pi/2) (sin^(3/2)x)/(sin^(3/2)x+cos^(3/2)x)dx.
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- Solve the differntial equation (dy)/(dx)+y/x=x^(2)
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- Solve the differential equation (dy)/(dx)=(x+1)/(2-y),(y!=2)
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- Show that the four points with position vectors 4hati+8hatj+12hatk,2ha...
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