Triangles and Circles [IMO Level 1- Mathematics Olympiad (SOF) Class 9]: Questions 6 - 11 of 79
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Question 6
Question MCQ▾
If one leg of an isosceles right-angles triangle is increased by 6 cm and the other leg is increased by 4 cm, then change in area of the triangle is 24 sq. cm. find the length of the leg of the original triangle.
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 7
Question MCQ▾
Triangle PAB is formed by three tangents to circle with center O and , then angle ACB equals ________
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 8
Question MCQ▾
An exterior angle of a triangle is and the measure of the two remote interior angles are 25 degree and degree. x = ________.
Choices
Choice (4) | Response | |
---|---|---|
a. | 24 | |
b. | 29 | |
c. | 20 | |
d. | 25 |
Question 9
Question MCQ▾
In , If divides BC in the ratio , then is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | m: 3n | |
b. | m: n | |
c. | 2m: n | |
d. | 3m: n |
Question 10
Question 11
Question MCQ▾
In the medians AD, BE and CF pass through G. If , then BE is ________
Choices
Choice (4) | Response | |
---|---|---|
a. | 6 | |
b. | 9 | |
c. | 1 | |
d. | 3 |