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 Multiple Choice QuestionsMultiple Choice Questions

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61.

The coordinates of the foot of the perpendicular from (0, 0) upon the line x + y = 2 are

  • (2, - 1)

  • (- 2, 1)

  • (1, 1)

  • (1, 2)


62.

The line which is parallel to x - axis and crosses the curve y = x at an angle 45°, is

  • y = 14

  • y = 12

  • y = 1

  • y = 4


63.

The distance between the lines 5x - 12y + 65 = 0 and 5x - 12y - 39 = 0 is

  • 4

  • 16

  • 2

  • 8


64.

A particle is projected vertically upwards and is at a height h after t1 seconds and again after t2 seconds, then

  • h = gt1t2

  • h = 12gt1t2

  • h = 2gt1t2

  • h = gt1t2


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65.

The equation of bisectors of the angles between the lines x = y are

  • y = ± x and x = 0

  • x = 12 and y = 12

  • y = 0 and x = 0

  • None of the above


66.

The equation of the pair of straight lines parallel to x-axis and touching the circle x2 + y2- 6x - 4y -12 = 0 is

  • y2 - 4y - 21 = 0

  • y2 + 4y - 21 = 0

  • y2 - 4y + 21 = 0

  • y2 + 4y + 21 = 0


67.

If the foot of the perpendicular from the origin to a straight line is at the point (3 - 4). Then, the equation of the line is

  • 3x - 4y = 25

  • 3x - 4y + 25 = 0

  • 4x + 3y - 25 = 0

  • 4x - 3y + 25 = 0


68.

The angle between lines joining origin and intersection points of line 2x + y = 1 and curve 3x2 + 4yx - 4x + 1= 0 is

  • π2

  • π3

  • π4

  • π6


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69.

The equation of the bisector of the acute angle between the lines 3x - 4y + 7 = 0 and 12x + 5y - 2 = 0 is

  • 99x - 27y - 81 = 0

  • 11x - 3y + 9 = 0

  • 21x + 77y - 101 = 0

  • 21x + 77y + 101 = 0


70.

The angle between the straight lines

x - y3 = 5 and 3x + y = 7 is

  • 90°

  • 60°

  • 75°

  • 30°


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