I. ` 3p+2q - 58 = 0`
II.` 4q+4p= 92`

I. 3p^(2)+10p+8 = 0 II. 2q^(2) + 3q+1 = 0

I. 3p^(2) + 17p+10 = 0 II. 10q^(2) +9q+2=0

I. p^(2)+5p+6 = 0 II. q^(2) + 3q + 2 = 0

I. p^(2)= 4 II. q^(2) + 4q =- 4

If p : q = 5 : 7 " and " p - q = - 4 , then find the value of (3p + 4q) .

For any natural number p and q (i) p # q = p 3 + q 3 + 3 and p ∗ q = p 2 + q 2 + 2 and p $ q = | p − q | (ii) Max (p,q) = Maximum of (p,q) and Min (p and q) = Minimum of (p,q)The value of [(1 $ 2) # (3$ 4)]*[(5 $ 6) # (7 $ 8)] is :

For three vectors p, q and r, if r = 3p + 4q and 2r = p - 3q, then

Evaluate ( 4p - q) ^(2) - ( 4p + q) ^(2) if p =- 1 and q =2

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)