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`1/13 + 1/13 +1/13`

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Show that the three lines with direction cosines 12/13, -3/13, -4/13, 4/13, 12/13, 3/13, 3/13, -4/13, 12/13 are mutually perpendicular.

Find x , if 1/(11!) + 1/(12!) = x/(13!)

If sin^(-1)(5/x)+sin^(-1)((12)/x)=pi/2, then x is equal to 7/(13) (b) 4/3 (c) 13 (d) (13)/7

If P(A)=(1)/(4), P(B)=(1)/(13) and P(AcapB)=(1)/(52) , then the value of P(overline(A)capoverline(B)) , is A. (3)/(13) B. (5)/(13) C. (7)/(13) D. (9)/(13)

Find the inverse of the matrix : {:[(2//13,-5//3),(3//13,-1//13)]

If sin^-1(x/13) + cosec^-1(13/12) = pi/2 then the value of x is