# KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math: Questions 52 - 54 of 265

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## Question number: 52

» Basic Mathematics » Geometry » Circle and Properties

Appeared in Year: 2012

MCQ▾

### Question

A circle is drawn in a sector of a larger circle of radius, r, as shown in the adjacent figure. The smaller circle is tangent to the two bounding radii and the arc of the sector. The radius of the small circle is.

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 53

Appeared in Year: 2014

MCQ▾

### Question

Let and , where a and b are positive integers. Suppose and. If the coefficient of the highest degree term of k (x) is 1, the sum of the roots of is

### Choices

Choice (4) Response

a.

6

b.

5

c.

4

d.

7

## Question number: 54

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2014

MCQ▾

### Question

Suppose S1 and S2 are two unequal circles; AB and CD are the direct common tangents to these circles. A transverse common tangent PQ cuts AB in R and CD in S. If AB = 10, then RS is

### Choices

Choice (4) Response

a.

9

b.

8

c.

11

d.

10

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