IMO- Mathematics Olympiad (SOF) Class 10: Questions 444 - 447 of 958

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Question number: 444

» Triangle, Circle & Constructions

MCQ▾

Question

Given below are the steps of construction of a pair of tangents to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm. find which of the following step is wrong?

  1. Step I: Take a point O on the plane paper and draw a circle of radius . Also, draw a concentric circle of radius .

  2. Step II: Find the mid-point A of OB and draw a circle of radius . Suppose this circle intersects the circle of radius 4 cm at P and Q.

  3. Step III: Join BP and BQ to get the desired tangents.

 Given the pair of tangents to a circle of radius 4 cm

Given the Pair of Tangents to a Circle of Radius 4 Cm

Given the pair of tangents to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and find the which of the following step is wrong

Choices

Choice (4) Response

a.

(2) and (3)

b.

(1) and (2)

c.

Only (2)

d.

Only (1)

Question number: 445

» Coordinate Geometry

MCQ▾

Question

Points are joined to form which shape?

Choices

Choice (4) Response

a.

Pentagon

b.

Snip single corner Rectangle

c.

Chord

d.

Snip round corner Rectangle

Question number: 446

» Coordinate Geometry

MCQ▾

Question

Find the area of the quadrilateral, the coordinates of whose angular points taken in order are.

Choices

Choice (4) Response

a.

22

b.

25

c.

28

d.

24

Question number: 447

» Coordinate Geometry

MCQ▾

Question

The values of t, if the area of the pentagon ABCDE be sq. units where are ________

Choices

Choice (4) Response

a.

1,99

b.

-1,89

c.

1,100

d.

-1,100

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