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Obtain the normal form of equation of the plane 3x+2y+6z+1 = 0 and find the direction cosine and length of the perpendicular from the origin to this plane
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Write the equation of the plane perpendicular to N = 2i-3j+5k and passing through the point (2,1,3)
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Find the equation of the sphere whose diameter is the line joining the origin to the point (2,-2,4)
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Obtain the equation of the sphere passing through the origin and the points (a,0,0), (0,b,0) and (0,0,c)
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Find the equation of the sphere through the point (2,0,1), (1,-5,-1), (0,-2,3) and (4,-1,2). Also find its centre and radius
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Derive an expression for radius of curvature in polar form
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Using differentiation under integral sign evaluate:
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Solve
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Evaluate
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Solve
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Find the rank of the matrix
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Obtain the reduction formula for
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Evaluate
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Prove that the cylindrical coordinates system is orthogonal
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Find the orthogonal trajectory of:
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Solve
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A squar matrix aij=aji for all i and j then it is called:
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Find all the eigen values of the matrix:
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Reduce the matrix
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Find the angle of intersection between the curves:
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Solve the following system of equations by Gauss-Seidel method.
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The equation 2x+5y=7 has a unique solution .If x and y are -
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