The direction cosines of the line 4x - 4 = 1 - 3y = 2 - 1 are :

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 Multiple Choice QuestionsMultiple Choice Questions

211.

The interior angles of a polygon are AP. The smallest angle is 120° and the common difference is 5°. The number of sides of the polygon is :

  • 9

  • 10

  • 16

  • 5


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212.

The direction cosines of the line 4x - 4 = 1 - 3y = 2 - 1 are :

  • 356, - 456, 656

  • 329, - 429, 629

  • 361, - 461, 661

  • 4, - 3, 2


C.

361, - 461, 661

4x - 4= 1 - 3y = 2z - 1 x - 114 = y - 13- 13 = z - 1212 Direction cosines are14116 + 19 + 14, - 13116 + 19 + 14, 12116 + 19 + 14= 361, - 461, 661


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213.

The centre of the sphere passing through the origin and through the intersection pomts of the planexa + yb + zc = 1 with axes is :

  • a2, 0, 0

  • 0, a2, 0

  • 0, 0, a2

  • a2, b2, c2


214.

The line 2x - y = 1 bisects angle between two lines. If equation of one line is y = x, then the equation of the other line is :

  • 7x - y - 6 = 0

  • x - 2y + 1 = 0

  • 3x - 2y - 1 = 0

  • x - 7y + 6 = 0


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215.

The angle between the lines 3x - y - 2 = 0 and x - 3y + 1 = 0 is :

  • 90°

  • 60°

  • 45°

  • 30°


216.

A force of magnitude 6 acting along the line joining the points A(2, - 1, 1) and B (3, 1, 2) displaces a particle from A to B. The work done by the force is :

  • 6

  • 66

  • 6

  • 12


217.

Equation of the plane parallel to the planes x + 2y + 3z - 5 = 0, x + 2y + 3z - 7 = 0 and equidistant from them is :

  • x + 2y + 3z - 6 = 0

  • x + 2y + 3z - 1 = 0

  • x + 2y + 3z - 8 = 0

  • x + 2y + 3z - 3 = 0


218.

If the plane 2x - y + z = 0 is parallel to the line 2x - 12 = 2 - y2 = z + 1a, then the value of a is :

  • 4

  • - 4

  • 2

  • - 2


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219.

The shortest distance between the line y = x and the curve
y2 = x - 2 is

  • 1142

  • 78

  • 2

  • 742


220.

The equation of a plane containing the line of intersection of the planes 2x – y – 4 = 0 and y + 2z – 4 = 0 and passing through the point (1 , 1, 0) is :

  • x - 3y - 2z = - 2

  • x - y - z = 0

  • 2x - z = 2

  • x + 3y + z = 4


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