Mathematics-3D Geometry

Test Preparation on Mathematics-3D Geometry MCQ

1.

If the angle θ between the line x + 1/1=y - 1/2=z - 2/2 and the plane2x - y + √λ x + 4 = 0 is such that sin θ =1/3, then the value of λ is

15 / 3
2- 3 / 5
33 / 4
4- 4 / 3

2.

If the plane 2ax - 3ay + 4az + 6 = 0 passes through the midpoint of the line joiningthe centres of the spheres x2+ y2+ z2+ 6x - 8y - 2z = 13and x2+ y2+ z2- 10x + 4y - 2z = 8, then a equals

1-1
21
3-2
42

3.

110 / 9
2 10 / 3√3
33 / 10
410 / 3

4.

The angle between the lines 2x = 3y = - z and 6x = - y = - 4z is

10
2b ) 90
345
430

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