Reflexion of the point α, β, γ in

Subject

Mathematics

Class

JEE Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

31.

The degree of the differential equation 1 + dydx22 = d2ydx2 is

  • 3

  • 2

  • 1

  • 4


32.

cos2x - cos2θcosx - cosθdx is equal to

  • 2sinx + xcosθ

  • 2sinx - xcosθ

  • 2sinx + 2xcosθ

  • 2sinx - 2xcosθ


33.

If a = 2i^ + λj^ + k^ and b = i^ + 2j^ + 3k^ are orthogonal, then value of λ is

  • 3/2

  • 1

  • 0

  • - 5/2


34.

If a, b, c are unit vectors such that a + b + c = 0, then the value of a · b + b · c + c · a is equal to

  • 3/2

  • 1

  • 3

  • - 3/2


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35.

The plane 2x - 3y + 6z - 11 = 0 makes an angle sin-1(α) with X-axis, the value of α is equal to

  • 23

  • 27

  • 32

  • 37


36.

0.23.5xdx is equal to

  • 3.5

  • 4

  • 4.5

  • 3


37.

The perpendicular distance of the point P(6, 7, 8) from XY-plane is

  • 6

  • 7

  • 5

  • 8


38.

The integrating factor of the differential equation x . dydx + 2y = x2 is x  0

  • x

  • logx

  • x2

  • elogx


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39.

0π2tan7xcot7x + tan7xdx is equal to

  • π4

  • π2

  • π6

  • π3


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40.

Reflexion of the point α, β, γ in XY-plane is

  • 0, 0, γ

  • - α, - β, γ

  • α, β, - γ

  • α, β, 0


C.

α, β, - γ

Reflexion of any point (x, y, z) in XY-plane is (x, y, - z)

 Reflexion of α, β, γ in XY-plane is α, β, - γ.


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