If x,y,z,t are real numbers such that x^...

If x,y,z,t are real numbers such that `x^(2) + y^(2) =9,z^(2) + t^(2)=4` and `xt-yz=6`, then the greatest value of xz is:

A

1

B

2

C

3

D

4

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If x,y, z are real numbers satisfying the equation 25(9x^(2) + y^(2)) + 9z^(2)- 15 (5xy + yz + 3zx)= 0 then x,y, z are in

If x,y,z , t gt 0 and xyzt=81 then minimum value of x+2y+z+8t is

The range of x^(2)+4y^(2)+9z^(2) - 6yz-3xz-2xy is

The range of x^(2)+4y^(2)+9z^(2)-6yz-3xz-2xy is

The value of k such that (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies in the plane 2x-4y+z+7=0 is

The two planes represented by 12 x ^(2) - 2y ^(2) - 6z^(2) - 7 yz + 6zx - 2 xy =0 are

If [(x-3,2y-8),(z+2,6)]=[(5,2),(-2,a-4)] , then find the values of x,y,z and a.