KVPY Stream-SA (Class 11) Math: Questions 29 - 33 of 265
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Question number: 29
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2009
Question
In a right triangle ABC, the incircle touches the hypotenuse AC at D. If AD = 10 and DC = 3 and the sides AB, BC and AC are integer, the inradius of ABC is
Choices
| Choice (4) | Response | |
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| a. | 4 |
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| b. | 5 |
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| c. | 2 |
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| d. | 3 |
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Question number: 30
» Sequence and Series » Arithmetico - Geometric Progression
Appeared in Year: 2012
Question
If a, b, c, d are positive real numbers such that, , then is
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 1 |
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| b. |
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| c. | 2 |
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| d. | All of the above |
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Question number: 31
» Sets, Relations and Functions » Equivalence Relations
Appeared in Year: 2014
Question
Let a, b, c be non-zero real numbers such that a + b + c = 0; let and Then.
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | always |
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| b. | always |
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| c. | can take both positive and negative value |
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| d. | always |
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Question number: 32
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2012
Question
In the figure, AKHF, FKDE and HBCK are unit squares; AD and BF intersect in X. Then the ratio of the areas of triangles AXF and ABF is.
Figure Made Up of Three Squares
In figure AKHF, FKDE and HBCK are unit squares; AD and BF intersect in X.
Choices
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| b. |
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| c. |
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Question number: 33
» Sequence and Series » N Terms of Special Series (Squares & Cubes)
Appeared in Year: 2010
Question
The number of positive integers n in the set {1, 2, 3, …, 100} for which the number
is an integer is
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 4 |
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| b. | 6 |
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| c. | 7 |
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| d. | 14 |
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