IMO- Mathematics Olympiad Class 10: Questions 813 - 817 of 958

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 958 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 450.00 or

Question number: 813

» Area, Surface Area & Volume

MCQ▾

Question

The areas of two concentric circles are Equation and Equation respectively. The width of the ring is________.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 814

» Triangle, Circle & Constructions

MCQ▾

Question

In a plane 2 lines and a circle are given. If points intersection of two lines or that of a line with the circle are counted, the maximum number of points intersections possible in this is________

Choices

Choice (4) Response

a.

5

b.

6

c.

10

d.

8

Question number: 815

» Area, Surface Area & Volume

MCQ▾

Question

The diameter of the driving wheel of a bus is Equation How many revolutions per minute must the wheel make in order to keep a speed of Equation per hour?

Choices

Choice (4) Response

a.

100

b.

243

c.

124

d.

110

Question number: 816

» Area, Surface Area & Volume

MCQ▾

Question

The diameter of the driving wheel of a bus is Equation How many revolutions per minute must the wheel make in order to keep a speed of Equation per hour?

Choices

Choice (4) Response

a.

200

b.

280

c.

243

d.

250

Question number: 817

» Triangle, Circle & Constructions

MCQ▾

Question

Let ABC be a right triangle in which Equation . BD is the perpendicular from B on AC. The circle through B, C, and D is drawn from A to this circle. Given below are the steps of constructions of a pair of tangents. Find out the wrong step.

  1. Step I: Draw Equation and perpendicular BD from B on AC.

  2. Step II: Draw a circle with BC as a diameter. This circle will pass through D.

  3. Step III: Let O be the mid-point of BC. Join AO.

  4. Step IV: Draw a circle with AO as diameter. This circle cuts the circle drawn in step II B at P. joins AO, AP and AB are desired tangents. Drawn from A to the circle passing through B, C and D.

Choices

Choice (4) Response

a.

Only 2

b.

Only 3

c.

Only 4

d.

Only 1

f Page
Sign In