Triangle, Circle & Constructions (IMO- Mathematics Olympiad (SOF) Class 10): Questions 14 - 17 of 64

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Question number: 14

» Triangle, Circle & Constructions

MCQ▾

Question

In the adjacent figure, QP and QR are produced to meet RS and PS produced in T and U. then is ________

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 15

» Triangle, Circle & Constructions

MCQ▾

Question

AB is a line segment is a point on AB. ACPQ and CBRS are squares drawn on the same side AB,

Choices

Choice (4) Response

a.

C is the orthocenter of the triangle APB.

b.

P is the orthocenter of the triangle APB.

c.

M is the orthocenter of the triangle APB.

d.

S is the orthocenter of the triangle APB.

Question number: 16

» Triangle, Circle & Constructions

MCQ▾

Question

ABC and DBC are two equilateral triangles on the same base BC. A point P is taken on the circle with Centre D, radius BD. Show that PA, PB, PC are the sides of a right triangle

Choices

Choice (4) Response

a.

PA, PB, PC are the sides of a obtuse triangle

b.

PA, PB, PC are the sides of a right triangle

c.

PA, PB, PC are the sides of a acute triangle

d.

PA, PB, PC are the sides running along circle

Question number: 17

» Triangle, Circle & Constructions

MCQ▾

Question

A circle inscribed in having, touching sides at P, Q, R. then is

Choices

Choice (4) Response

a.

b.

18

c.

d.

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