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 ________

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.

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

Triangle poly1 Triangle poly1: Polygon Q, P, RCircle d Circle d: Circle through E_1 with center DSegment c Segment c: Segment [Q, P] of Triangle poly1Segment a Segment a: Segment [P, R] of Triangle poly1Segment b Segment b: Segment [R, Q] of Triangle poly1Point Q Q = (-1.06,1.22) Point Q Q = (-1.06,1.22) Point P P = (0.56,4.48) Point P P = (0.56,4.48) Point R R = (2.24,1.22) Point R R = (2.24,1.22) Point A Point A: Point on cPoint A Point A: Point on cPoint B Point B: Point on dPoint B Point B: Point on dPoint E Point E: Intersection point of d, aPoint E Point E: Intersection point of d, aM text1 = “M”N text2 = “N”O text3 = “O”P text4 = “P”R text5 = “R”Q text6 = “Q”

Triangle MNO

Triangle MNO havingMN = 12 cm, MO = 14 cm, NO = 18 cm touching sides at P, Q, R.

Choices

Choice (4) Response

a.

b.

18

c.

d.

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