Triangle, Circle & Constructions (IMO- Mathematics Olympiad Class 10): Questions 13 - 16 of 64

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Question number: 13

» Triangle, Circle & Constructions

MCQ▾

Question

In the figure, ABC is isosceles. Then AC2AD2= ________

Given the triangle ABC is isosceles triangle

Given the Triangle ABC Is Isosceles Triangle

Given the triangle ABC is isosceles triangle then find square AD minus square AC value

Choices

Choice (4) Response

a.

AD×CD

b.

BC×CD

c.

BD×CD

d.

AB×AD

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 QTR+RUS is ________

Figure QP and QR are produced to meet RS & PS produced in T & U

Figure QP and QR Are Produced to Meet RS & PS Produced in T & U

Given the adjacent figure QP and QR are produced to meet RS and PS produced in T and U then find sum of Angles QTR and RUS

Choices

Choice (4) Response

a.

80°

b.

60°

c.

140°

d.

10°

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

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