Add the following expressions:
`p^2-q +r, q^2 -r+ p and r^2-p+q`

Consider the following statements. p : Hari is clever. q: shyam is fool. r: Shyam is honest. The negation of statement Hari is clever & Shyam is dishonest if and only if shyam is fool is expressed. As ~p^^(q^^vv~ r) ~(q (p^^~r)) (3) ~ q ~ p^^r ~(p^^~ r) (5) ~(p^^r)

If the boolean expression ((p ^^ q) vv r) implies (p ^^ r) is false, then which of the following cannot represent ordered truth values of (p,q,r) ?

Add p(p-q),q(q-r) and r(r-p)

If a,b,c denote the sides of triangleABC , show that the value of the expression, a^3 (p-q)(p-r)+b^2(q-r)+b^2(q-r)(q-p)+c^2(r-p)(r-q) cannot be negative where p,q,r in R .

What should come next in the following letter series ? P Q P Q R P Q R S P Q R S T P Q R S T L P Q R S T U V P Q R S T

7. Let A= {p, q, r}. Which of the following is an equivalence relation on A?(a) R, = {(p, q), (q, r), (p, r), (p, q)} (b) R2 = {(1,9).(,p), (r,r). (9,7)} (c) Rz = {(p, p), (q,9), (r, r), (p, q)} (d) one of these

If p = -2, q = - 1 and r = 3, find the value of (i) p^(2) + q^(2) - r^(2) (ii) 2p^(2) - q^(2) + 3r^(2) (iii) p - q - r (iv) p^(3) + q^(3) + r^(3) + 3 pqr (v) 3p^(2) q + 5pq^(2) + 2 pqr (vi) p^(4) + q^(4) - r^(4)