In Fig., a circle touches the side DF of ∠EDF at H and t

Subject

Mathematics

Class

CBSE Class 10

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 Multiple Choice QuestionsMultiple Choice Questions

1.

The length of shadow of a tower on the plane ground is 3 times the height of the tower. The angle of elevation of sun is

  • 450

  • 300

  • 600

  • 900


2.

If the area of a circle is equal to sum of the areas of two circles of diameters 10 cm and 24 cm, then the diameter of the larger circle (in cm) is

  • 34

  • 26

  • 17

  • 14


3.

If the radius of the base of a right circular cylinder is halved, keeping the height the same, then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is

  • 1 : 2

  • 2 : 1

  • 1 : 4

  • 4 : 1


4.

Two dice are thrown together. The probability of getting the same number on both dice is:

  • 12

  • 13

  • 16

  • 112


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5.

The coordinates of the point P dividing the line segment joining the points A(1, 3) and B(4, 6) in the ratio 2 : 1 are

  • ( 2, 4 )

  • ( 3, 5 )

  • ( 4, 2 )

  • ( 5, 3 )


6.

If 1 is a root of the equations ay2 + ay + 3 = 0 and y2 + y + b = 0, then ab equals

  • 3

  • -72

  • 6

  • -3


7.

In Fig., the sides AB, BC and CA of a triangle ABC, touch a circle at P, Q and R respectively. If PA = 4 cm, BP = 3 cm and AC = 11 cm, then the length of BC (in cm) is

                        

  • 11

  • 10

  • 14

  • 15


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8.

In Fig., a circle touches the side DF of EDF at H and touches ED and EF produced at K and M respectively. If EK = 9 cm, then the perimeter of EDF (in cm) is:

                            

  • 18

  • 13.5

  • 12

  • 9


A.

18

It is known that the tangents from an external point to the circle are equal.

 EK = EM,  DK = DH  and FM = FH     .....(1)

Perimeter  of EDF = ED + DF + FE

                             = (EK - DK) + (DH + HF) + EM - FM)

                             = (EK - DH) + (DH + HF) + (EM - FH)         [Using (1)]

                             = EK + EM

                             = 2EK = 2(9 CM) = 18 CM

Hence, the perimeter of EDF is 18 cm.


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 Multiple Choice QuestionsShort Answer Type

9.

If a point A(0, 2) is equidistant from the points B(3, p) and C(p, 5) then find the value of p.


10.

A number is selected at random from first 50 natural numbers. Find the probability that it is a multiple of 3 and 4.


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