If the line, x-3 2 = y+2 1 = z+4 3 lies in the plane, x+my-z=9, then ^2+m^2 is equal to

MHT CET 2024 Mathematics question

If the line, lies in the plane, , then is equal to

(1)
(2)
(3)
(4)Correct

Answer: (4)

Solution

A line lies in a plane if (i) a point of the line lies on the plane and (ii) the line's direction is perpendicular to the plane's normal. (i) The point satisfies the plane: . (ii) Direction ratios and normal :

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Question ID VK-095684