Triangle, Circle & Constructions (IMO- Mathematics Olympiad (SOF) Class 10): Questions 6 - 8 of 64

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: 6

» 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: 7

» Triangle, Circle & Constructions

MCQ▾

Question

is an isosceles triangle in which . Side RS is produced to P such that . Then equals ________

Given triangle SRQ is an isosceles triangle in which SQ=SR

Given Triangle SRQ Is an Isosceles Triangle in Which SQ = SR

Given triangle SRQ is an isosceles triangle in which SQ = SR, side RS is produced to P such that SP = SR

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 8

» Triangle, Circle & Constructions

MCQ▾

Question

In an isosceles triangle ABC, is bisected by AD where D lies on BC. It is found that . Then equals ________

Given the triangle ABC and D is a lies on BC

Given the Triangle ABC and D Is a Lies on BC

Given the triangle ABC and angle BAC is bisected by AD where D lies on BC

Choices

Choice (4) Response

a.

b.

c.

d.

f Page
Sign In