Equation of a Plane : General Form
Trending Questions
Q.
Three straight lines , and
form a triangle
are only concurrent
are concurrent with one line bisecting the angle between the other two
None of the above
Q. If a plane passes through the point (1, 1, 1) and is perpendicular to the line x−13=y−10=z−14 then its perpendicular distance from the origin is
- 34
- 43
- 75
- 1
Q.
The equation of the plane passing through the point (1, 1, 1) and perpendicular to the planes 2x+y-2z=5 and 3x-6y-2z=7 is
14x + 2y - 15z = 1
-14x + 2y +15z =3
14x - 2y + 15z = 27
14x + 2y + 15z = 31
Q. Consider the three planes
P1:3x+15y+21z=9
P2:x−3y−z=5, and
P3:2x+10y+14z=5
Then, which one of the following is true ?
P1:3x+15y+21z=9
P2:x−3y−z=5, and
P3:2x+10y+14z=5
Then, which one of the following is true ?
- P1 and P3 are parallel.
- P2 and P3 are parallel.
- P1 and P2 are parallel.
- P1, P2 and P3 all are parallel.
Q. the region bounded by the line L bx+ay-ab=0 and the coordinate axes is a triangle in the first quadrant whose area is A. if the line passes through (1, 2) then find the minimum value of A
Q. If lx+my+nz = d is the general form of the equation of a plane and l, m, n are direction cosines of that plane, then what does d represent?
- The normal distance of the plane from the origin
- Direction cosine of the z-axis
- Direction cosine of the y-axis
- Direction cosine of the x-axis
Q.
Which equation of a line passes through the point and has slope of ?