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If x(1),x(2) "and" y(1),y(2) are the ro...

If `x_(1),x_(2) "and" y_(1),y_(2)` are the roots of the equations
`3x^(2) -18x+9=0 "and" y^(2)-4y+2=0` the value of the determinant `|{:(x_(1)x_(2),y_(1)y_(2),1),(x_(1)+x_(2),y_(1)+y_(2),2),(sin(pix_(1)x_(2)),cos (pi//2y_(1)y_(2)),1):}|` is

A

(a)0

B

(b)1

C

(c)2

D

(d)None of these

Text Solution

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The correct Answer is:
A
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