# Basic Mathematics-Geometry (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 40 - 45 of 64

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## Question number: 40

» 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

## Question number: 41

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

MCQ▾

### Question

A triangular corner is cut from a rectangular piece of board and the resulting pentagon has sides 5,6, 12,15, in some order. The area of the rectangle is –

### Choices

Choice (4) Response

a.

b.

c.

d.

148.5

## Question number: 42

» Basic Mathematics » Geometry » Triangle and Properties

MCQ▾

### Question

If sides of the triangle ABC are, and , also ∠C = 600, then other two angles are,

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 43

» Basic Mathematics » Geometry » Circle and Properties

MCQ▾

### Question

In the given figure, ∠NPM = 310 and ∠PMN = 640 then ∠POM is equal to –

### Choices

Choice (4) Response

a.

850

b.

800

c.

620

d.

700

## Question number: 44

» Basic Mathematics » Geometry » Circle and Properties

MCQ▾

### Question

The lengths of two parallel chords of a circle are 24 cm and 10 cm. If the smaller chord is at distance 12 cm from the centre, then the distance of the other chord from the centre is –

### Choices

Choice (4) Response

a.

9

b.

12

c.

5

d.

10

## Question number: 45

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

### Question

In the given figure, ABC is an equilateral triangle whose side is 6 cm. A circle is drawn which passes through the midpoints D, E and F of its sides. The area of the shaded region is –

### Choices

Choice (4) Response

a.

b.

c.

d.

f Page