Given a^2+b^2=1, c^2+d^2=1, p^2+q^2=1, w...

Given `a^2+b^2=1`, `c^2+d^2=1`, `p^2+q^2=1`, where all numbers are real, then
(1)    `ab+cd+pq >= 1`
(2)    `ab+cd+pq <3`
(3)    `ab+cd+pq >= 3`
(4)    `ab+cd+pq <= 3/2`

Similar Questions

Explore conceptually related problems

The given figure shows the graph of the polynomial f(x)=ax^2+bx+c , then (1) a>0 , b 0 (2) a>0 , b (3) a 0 and c>0 (4) a 0 and c<0

The number of solutions of z^2+bar z=0 is (a) 1 (b) 2 (c) 3 (d) 4

If x ÷ 1 = 8 , then x is equal to ( a ) 8 ( b ) 1 ( c ) -8 ( d ) -1

If f(x) = { x , x ( 1 ) 1 ( 2 ) 4/3 ( 3 ) 5/3 ( 4 ) 5/2

In an AP, S_p=q , S_q=p . Then S_(p+q) is equal to: a. 0 b. -(p+q) c. (p+q) d. pq

If y - 9 = ( - 4 ) , then y is equal to : ( a ) 3 ( b ) 4 ( c ) 5 (d ) 7

If 2^x - 4^(2x-1) = 0 , then x = (a) 2/3 (b) -2/3 (c) 3/2 (d) -3/2

Find the value of ( 1+ 1/iota )^4 is : ( a ) 0 ( b ) -4 ( c ) 4 ( d ) 3

The number of integral pairs (x,y) satisfying the equation (x-y)^2+2y^2=27 is: a. 8 b. 7 c. 6 d. 5

Find the value of [ 8^(-4/3) ÷ 2^-2 ]^(1/2) ( a ) 1/2 ( b ) 2 ( c ) 1/4 ( d ) 4