# Basic Mathematics-Geometry (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 29 - 34 of 64

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## Question number: 29

» Basic Mathematics » Geometry » Quadrilateral and Properties

MCQ▾

### Question

Let ABCD be a square of side length 1. Let P, Q, R, S be points in the interiors of the sides AD, BC, AB, CD, respectively, such that PQ and RS intersect at right angles. If then RS equals –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 30

» Basic Mathematics » Geometry » Polygons With More Than 4 Sides

MCQ▾

### Question

In the figure given below, if the areas of the two regions are equal then which of the following is true?

### Choices

Choice (4) Response

a.

x = y

b.

x = 3y

c.

x = 2y

d.

2x = y

## Question number: 31

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

### Question

A square ABCD is inscribed in a circle of radius 3. Two tangents to a circle at points A and B on the circle intersect at a point E. If AE = 4 then find the length of the sides of square.

### Choices

Choice (4) Response

a.

24

b.

12

c.

d.

## Question number: 32

» Basic Mathematics » Geometry » Triangle and Properties

MCQ▾

### Question

Let P be an interior point of a triangle ABC. Let Q and R be the reflections of P in AB and AC, respectively. If Q, A, R are collinear then ∠A equals -

### Choices

Choice (4) Response

a.

900

b.

600

c.

300

d.

1200

## Question number: 33

» Basic Mathematics » Geometry » Quadrilateral and Properties

MCQ▾

### Question

The area of a rectangular PQRS is 36. Points M and N are on the side RS, such that PM = QN = 5. Find the length of MN. (Lengths of sides of the rectangular are integer)

### Choices

Choice (4) Response

a.

5

b.

3

c.

4

d.

2

## Question number: 34

» Basic Mathematics » Geometry » Circle and Properties

MCQ▾

### Question

Suppose P is a point on the circle with centre O and radius 2; R is a point outside the circle such that in triangle PRO, ∠POR = 40. Let S be the point where the segment PS intersects the given circle. If PS = SR, then measure of ∠SRP equals,

### Choices

Choice (4) Response

a.

460

b.

880

c.

440

d.

480

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