IMO- Mathematics Olympiad Class 9: Questions 299 - 302 of 919

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 919 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: 299

» Triangles and Circles

MCQ▾

Question

In triangle XYZ, the altitude from X to YZ meets YZ at K, and the altitude from Y to XZ meets XK at M. if XK=5cm , KZ=3cm and YK=4cm , if XYYK=XMMK then the length of MK is ________

Choices

Choice (4) Response

a.

7cm

b.

720cm

c.

57cm

d.

207cm

Question number: 300

» Surface Area and Volumes

MCQ▾

Question

In the given figure, PQRS is a square of side 2a with centers P, Q, R and S, four circles are drawn such that each circle touch externally two of the remaining three circles. Then the area of the shaded region is ________

Given the PQRS is a square of side 2a and 4 circles are drawn

Given the PQRS Is a Square of Side 2a and 4 Circles Are Drawn

Given the PQRS is a square of side 2a. With centres P, Q, R and S, four circles are drawn such that each circle touch externally two of the remaining three circles find the area of shaded region

Choices

Choice (4) Response

a.

2a2πa

b.

(2π)

c.

2π2(2a)

d.

2(aπ)

Question number: 301

» Linear Equations in Two Variables

MCQ▾

Question

ABCD is a parallelogram. The bisectors of A and B meet BC and AD at X and Y respectively, then XY=

Image shows ABCD is a parallelogram

Image Shows ABCD Is a Parallelogram

ABCD is a parallelogram and the bisectors of A and B meet BC and AD at X and Y respectively then fined XY equal

Choices

Choice (4) Response

a.

BY

b.

AY

c.

AX

d.

CD

Question number: 302

» Triangles and Circles

MCQ▾

Question

The locus of a point equidistant from the three vertices of a triangle is ________

Choices

Choice (4) Response

a.

Incenter

b.

Centroid

c.

Orthocenter

d.

Circumcenter

f Page
Sign In