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Find : 1/2 of 24...

Find :
`1/2` of
24

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Find the image of the point (1, 2, 3) in the plane (as mirror) given by the equation : 3x + 2y + z = 24

Find x and y if : (x+ 2,4) = (5, 2x+ y)

Find the locus of a point equidistant from the point (2,4) and the y-axis.

Find the inverse of the matrix (if it exists): [[1,-1,2],[0,2,-3],[3,-2,4]]

Find the inverse of each of the following: {:[(1,-1,2),(0,2,-3),(3,-2,4)]

Find the area of the triangle ABC whose vertices are : A(1,2,4), B(-2,1,2) and C(2,4,-3)

Find values of x, if : |[2,4],[5,1]| = |[2x,4],[6,x]|

Find X and Y, if: X+Y = {:[(5,1),(2,4)] and X-Y = [(3,2),(0,3)]