If O is the origin and `P(x_(1),y_(1)), Q(x_(2),y_(2))` are two points then `POxxOQ sin angle POQ=`A. `x_(1)y_(2)+x_(1)y_(2)`B. `x_(1)y_(2)+x_(2)y_(1)`C. `|x_(1)y_(2)-x_(2)y_(1)|`D. none of these

If O is the origin and `P(x_(1),y_(1)), Q(x_(2),y_(2))` are two points

1.	If O is the origin and `P(x_(1),y_(1)), Q(x_(2),y_(2))` are two points then `POxxOQ sin angle POQ=`A. `x_(1)y_(2)+x_(1)y_(2)`B. `x_(1)y_(2)+x_(2)y_(1)`C. `\|x_(1)y_(2)-x_(2)y_(1)\|`D. none of these
Answer» Correct Answer - C We have, Area of `DeltaOPQ`= Absoulte value of `(1)/(2)\|{:(0,0,0),(x_(1),y_(1),1),(x_(2),y_(2),1):}\|` `rArr"Area of" DeltaOPQ=(1)/(2)\|x_(1)y_(2)-x_(2)y_(1)\|` Also, Area of `DeltaOPQ=(1)/(2)OPxxOQxx sin anglePOQ` `:.(1)/(2) OPxxOQ sin anglePOQ=(1)/(2)\|x_(1)y_(2)-x_(2)y_(1\|` `rArr OPxxOQ sin angle POQ =\|x_(1)y_(2)-x_(2)y_(2)\|`

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If O is the origin and `P(x_(1),y_(1)), Q(x_(2),y_(2))` are two points then `POxxOQ sin angle POQ=`A. `x_(1)y_(2)+x_(1)y_(2)`B. `x_(1)y_(2)+x_(2)y_(1)`C. `|x_(1)y_(2)-x_(2)y_(1)|`D. none of these

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