Find the value of determinant `|[p,q],[r,s]|`

If p+q+r=0=a+b+c , then the value of the determinant |[p a, q b, r c],[ q c ,r a, p b],[ r b, p c, q a]|i s (a) 0 (b) p a+q b+r c (c) 1 (d) none of these

Without expanding the determinant prove that: |(0, p-q, p-r), (q-p,0, q-r),(r-p, r-q, 0)|=0

Find the positive integers p, q, r, s satisfying tan (pi/24)=(sqrt(p)-sqrt(q))(sqrt(r)-s)

Find the value of x such that P Q=Q R where the coordinates of P ,\ Q and R are (6,\ -1) , (1,\ 3) and (x ,\ 8) respectively.

Find the adjoint of matrix A=[a_(i j)]=[(p, q),( r, s)] .

Given : 1176 = 2^(p) . 3^(q) . 7^(r ) . Find : the numerical values of p,q and r.

In figure, if P Q_|_P S ,P Q|| S R ,/_S Q R=28^0 and /_Q R T=65^0, then find the values of x and ydot Figure

Let p,q,r and s represent simple statements. Assume that p is false, q is true, r is false, and s is true. Determine the truth value of each statement expressed below : q ^^ r

Let p,q,r and s represent simple statements. Assume that p is false, q is true, r is false, and s is true. Determine the truth value of each statement expressed below : q vv s

Let p,q,r and s represent simple statements. Assume that p is false, q is true, r is false, and s is true. Determine the truth value of each statement expressed below : s ^^ q