IMO- Mathematics Olympiad Class 10: Questions 491 - 495 of 889

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Question number: 491

» Coordinate Geometry

MCQ▾

Question

The vertices of ABC are A(2,1),B(6,2),C(8,9) . If AD is angle bisector, where D meets on BC, then coordinates of D are ________

Choices

Choice (4) Response

a.

(4,3)

b.

(5,2)

c.

(203,53)

d.

(143,73)

Question number: 492

» 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: 493

» Statistics & Probability

MCQ▾

Question

A card is drawn from a packet of 200 cards numbered 1 to 200. The probability of drawing a number which is a thrice is ________

Choices

Choice (4) Response

a.

370

b.

250

c.

140

d.

130

Question number: 494

» Coordinate Geometry

MCQ▾

Question

The two opposite vertices of a square are (1,2)and(3,2) , so the coordinates of the other two vertices are ________

Choices

Choice (4) Response

a.

(1,0),(1,4)

b.

(0,2),(2,4)

c.

(6,2),(4,2)

d.

Question does not provide sufficient data or is vague

Question number: 495

» Coordinate Geometry

MCQ▾

Question

In what ratio is the line segment joining the points (2,3)and(5,6) is divided by Y-axis?

Choices

Choice (4) Response

a.

3: 7

b.

5: 2

c.

2: 5

d.

7: 3

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