Math miscellaneousHard
Question
The equation of the plane containing the line 2x − 5y + z = 3 ; x + y + 4z = 5, and parallel to the plane, x + 3y + 6z = 1, is :
Options
A.x + 3y + 6z = 7
B.2x + 6y + 12z = − 13
C.2x + 6y + 12z = 13
D.x + 3y + 6z = − 7
Solution
Let equation of plane parallel to x + 3y + 6z = 1 is x + 3y + 6z = λ point on line of intersection is (4, 1, 0), it also lie on plane x + 3y + 6z = λ so required plane is x + 3y + 6z = 7
Create a free account to view solution
View Solution FreeMore Math miscellaneous Questions
, n ∈ N ([x] denotes greatest integer less than or equal to x)...A plane which passes through the point (3, 2, 0) and the line is...The coefficient of xn in expansion of (1 + x)(1 - x)n is...If variance of the group ∝, 1 + ∝, ......, n + ∝ is , then value of n will be :-...Consider the system of linear equations:x1 + 2x2 + x3 = 32x1 + 3x2 + x3 = 33x1 + 5x2 + 2x3 = 1The system has...