# Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 77 - 81 of 164

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## Question number: 77

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

### Question

Let ABCD be a square of side length 1, and a circle of radius r, passing through B and C, and touching AD. The radius of r is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 78

» Basic Mathematics » Geometry » Triangle and Properties

MCQ▾

### Question

In a triangle ABC, points X and Y are on AB and AC, respectively, such that XY is parallel to BC. Which of the two following equalities always hold? (Here [PQR] denotes the area of triangle PQR) –

(I) [BCX] = [BCY]

(II)

### Choices

Choice (4) Response

a.

(II)

b.

Neither (I) nor (II)

c.

(I)

d.

Both a. and c. are correct

## Question number: 79

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

### Question

A triangular corner is cut from a rectangular piece of paper and the resulting pentagon has sides 5,6, 8,9, 12 in some order. The ratio of the area of the pentagon to the area of the rectangle is –

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 80

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

### Question

In the figure given below, a rectangle of perimeter 76 units is divided into 7 congruent rectangles:

What is the perimeter of each of the smaller rectangles?

### Choices

Choice (4) Response

a.

32

b.

38

c.

28

d.

19

## Question number: 81

» Basic Mathematics » Geometry » Triangle and Properties

MCQ▾

### Question

In a right triangle ABC, the incircle touches the hypotenuse AC at D. If AD = 2 and DC = 3, the inradius of ABC is,

### Choices

Choice (4) Response

a.

1

b.

2

c.

3

d.

4

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