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Which of the following is/are the condition(s) that the line 
may lie in the plane ax + by - cz + d = 0, if
may lie in the plane ax + by - cz + d = 0, if- a)al+bm+cn=0
- b)ax1+by1+cz1+d=0 only
- c)the normal to the plane must be perpendicular to the line and any one point on the line lies in the plane
- d)none of the above
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Which of the following is/are the condition(s) that the linemay lie in...
Condition for a line to lie in a plane.
Let the line be
Then the line will lie in the plane if every point on the line lies in the plane.
Taking
This point lies in plane (ii), if it satisfies the equation of the plane.
This equation will be true for every value of r^i.e. every point of line (1) will lie in the plane), if
Thus conditions in (A) are the required conditions.
Let the line be
Then the line will lie in the plane if every point on the line lies in the plane.
Taking
This point lies in plane (ii), if it satisfies the equation of the plane.
This equation will be true for every value of r^i.e. every point of line (1) will lie in the plane), if
Thus conditions in (A) are the required conditions.
Most Upvoted Answer
Which of the following is/are the condition(s) that the linemay lie in...
Condition for a line to lie in a plane.
Let the line be
Then the line will lie in the plane if every point on the line lies in the plane.
Taking
This point lies in plane (ii), if it satisfies the equation of the plane.
This equation will be true for every value of r^i.e. every point of line (1) will lie in the plane), if
Thus conditions in (A) are the required conditions.
Let the line be
Then the line will lie in the plane if every point on the line lies in the plane.
Taking
This point lies in plane (ii), if it satisfies the equation of the plane.
This equation will be true for every value of r^i.e. every point of line (1) will lie in the plane), if
Thus conditions in (A) are the required conditions.
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Which of the following is/are the condition(s) that the linemay lie in theplaneax + by - cz + d = 0, ifa)al+bm+cn=0b)ax1+by1+cz1+d=0 onlyc)the normal to the plane must be perpendicular to the line and any one point on the line lies in the planed)none of the aboveCorrect answer is option 'C'. Can you explain this answer?
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