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Let the equation of the plane containing line  and paralllle to the line of intersecting of the planes  and  be . Then find the value of


Question ID - 153287 :-

Let the equation of the plane containing line  and paralllle to the line of intersecting of the planes  and  be . Then find the value of

1 Answer
5876 Votes
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Answer Key : (6) -

(6)

A plane containing the line of intersection of the given planes is

i.e.,

vector normal to it

    (i)

Now the vector along the line of intersection of the planes

  and   is given by

As  is parallel to the plane (i), therefore

Hence the required plane is

Hence 



Next Question :

The plane denoted by  is rotated through a right angle its line of intersection with the plane . If the plane in its new position be denoted by , and the distance of this plane from the origin is , then find the value of  (where  represents greatest integer less than or equal to )


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