Important Questions of Introduction To Three Dimensional Geometry Mathematics | Zigya

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 Multiple Choice QuestionsMultiple Choice Questions

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141.

Let P and Q be the points on the parabola y2 = 4x so that the line segment PQ subtends right angle at the vertex. If PQ intersects the axis of the parabola at R, then the distance of the vertex from R is

  • 1

  • 2

  • 4

  • 6


142.

If the three points A(1, 6), B(3,- 4) and C(x, y) are collinear, then the equation satisfying by x and y is

  • 5x + y - 11 = 0

  • 5x + 13y + 5 = 0

  • 5x - 13y + 5 = 0

  • 13x - 5y + 5 = 0


143.

The number of diagonals in a polygon is 20. The number of sides of the polygon is

  • 5

  • 6

  • 8

  • 10


144.

In a right-angled triangle, the sides are a, b and c with c as hypotenuse and c - b  1, c + b  1. Then the value of (logc + b(a) + logc - b(a))/ (2logc + b(a) x logc - b(a)) will be

  • 2

  • - 1

  • 12

  • 1


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145.

If the three points (3q, 0), (0, 3p) and (1, 1) are collinear, then which one is true?

  • 1p +1q = 1

  • 1p +1q = 2

  • 1p +1q = 3

  • 1p +3q = 1


146.

The equation y = ± 3x, y = 1 are the sides

  • an equilateral triangle

  • a right angled triangle

  • a isosceles triangle

  • an obtuse angled triangle


147.

If C is a point on the line segment joining A(- 3, 4) and B(2, 1) such that AC = 2BC, then the coordinate of C is

  • 13, 2

  • 2, 13

  • (2, 7)

  • (7, 2)


 Multiple Choice QuestionsShort Answer Type

148.

A train moving with constant acceleration takes t seconds to pass a certain fixed point and the front and back end of the train pass the fixed point with velocities u and v respectively. Show that the length of the train is  12u + vt.


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 Multiple Choice QuestionsMultiple Choice Questions

149.

One possible condition for the three points (a, b), (b, a) and (a2, - b2) to be collinear is

  • a - b = 2

  • a + b = 2

  • a = 1 + b

  • a = 1 - b


150.

The coordinates of the foot of perpendicular from (a, 0) on the line y = mx + am are

  • 0, am

  • 0, - am

  • am, 0

  • - am, 0


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