Q. 5

Mark against the A. units

B. units

C. units

D. units

Answer :

Given: Plane makes intercepts 3, -4 and 6 with the coordinate axes.


Formula Used: Equation of plane is where (x, y, z) is a point on the plane and a, b, c are intercepts on x-axis, y-axis and z-axis respectively.


Normal Form of a plane lx + my + nz = p where (l, m, n) is the direction cosines and p is the distance of perpendicular to the plane from the origin.


Explanation:


Equation of the given plane is



i.e., 4x – 3y + 2z = 12 … (1)


which is of the form ax + by + cz = d


Direction ratios are (4, -3, 12)


So,


= √29


Dividing (1) by 13,



which is in the normal form


Therefore length of perpendicular from the origin is units

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