The line xa - yb = 1 cuts the x-axis at P. Th

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 Multiple Choice QuestionsMultiple Choice Questions

181.

The inclination of the straight line passing through the point (- 3, 6) and the mid point of the line joining the points ( 4, - 5) and (- 2, 9) is:

  • π4

  • π6

  • π3

  • 3π4


182.

A point moves such that the area of the triangle formed by it with the points (1, 5) and (3, - 7) is 21 sq unit Then locus of the point is :

  • 6x + y - 32 = 0

  • 6x - y + 32 = 0

  • x + 6y - 32 = 0

  • 6x - y - 32 = 0


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183.

The line xa - yb = 1 cuts the x-axis at P. The equation of the line through P perpendicular to the given line is :

  • x + y = ab

  • x + y = a + b

  • ax + by = a2

  • bx + ay = b2


C.

ax + by = a2

The equation of given line is,

      xa - yb = 1 bx - ay = abA line perpendicular to given line is     ax + by = λ

Thus, in the given options, option (c) is correct.


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184.

The value of λ. for which the lines 3x + 4y = 5, 2x + 3y = 4and λx + 4y = 6 meet at a point, is :

  • 2

  • 1

  • 4

  • 3


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185.

Three vertices of a parallelogram taken in order are (- 1, -  6), (2, - 5) and (7, 2). The fourth vertex is :

  • (1, 4)

  • (1, 1)

  • (4, 4)

  • (4, 1)


186.

The orthocentre of the triangle whose vertices are (5, - 2), - 1, 2) and (1, 4), is :

  • - 15, 165

  • 145, 15

  • 15, 15

  • 145, 145


187.

Distance between the lines 5x + 3y - 7 = 0 and 15x + 9y + 14 = 0 is :

  • 3534

  • 1334

  • 35334

  • 35234


188.

If the equation 2x2 + 7 xy + 3y2 - 9 x - 7y + k = 0 represents a pair of lines, then k is equal to

  • 4

  • 2

  • 1

  • - 4


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189.

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

  • 90°

  • 60°

  • 45°

  • 30°


190.

Distance between the pair of lines represented by the equation x2 - 6xy + 9y2 + 3 - 9y - 4 = 0 is:

  • 1510

  • 12

  • 52

  • 110


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