EXERCISE 2.2 Q 3 AND 4

Let P and Q be 3xx3 matrices with P!=Q . If P^3=""Q^3a n d""P^2Q""=""Q^2P , then determinant of (P^2+""Q^2) is equal to (1) 2 (2) 1 (3) 0 (4) 1

Let P and Q be 3xx3 matrices with P!=Q . If P^3=""Q^3a nd""P^2Q""=""Q^2P , then determinant of (P^2+""Q^2) is equal to (1) 2(2) 1 (3)0 (4) 1

Find the value of : 2p + 3q + 4r + por when p =-1,q = 2 and r = 3

(p^^~q) is logically equal to 1. p -> q 2. ~ p->q 3. p -> ~ q 4. ~(p ->q)

Exercise 2. Let R (1, 3), (2, 5), (3, 7), (4, 9), (5, 11) be a relation in the set A ={1, 2, 3, 4 ,5 }Find the domain and range of R

If each pair of the three equations x^(2) - p_(1)x + q_(1) =0, x^(2) -p_(2)c + q_(2)=0, x^(2)-p_(3)x + q_(3)=0 have common root, prove that, p_(1)^(2)+ p_(2)^(2) + p_(3)^(2) + 4(q_(1)+q_(2)+q_(3)) =2(p_(2)p_(3) + p_(3)p_(1) + p_(1)p_(2))

Six charges , q_1 = +1 mu C , q_2 = +3 mu C , q_3 = +4 mu C , q_4 = -2 mu C , q_5 = -3 mu C and q_6 = -3 mu C are placed on a sphee of radius 10 cm. The potential at centre of sphere is

The Boolean expression ~(pvvq)vv(~p^^q) is equivalent to (1) ~p (2) p (3) q (4) ~q

The Boolean expression ~(pvvq)vv(~p^^q) is equivalent to (1) ~p (2) p (3) q (4) ~q

The Boolean Expression (p^^~ q)vvqvv(~ p^^q) is equivalent to : (1) ~ p^^q (2) p^^q (3) pvvq (4) pvv~ q