# KVPY Stream-SA (Class 11) Math: Questions 160 - 165 of 265

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## Question number: 160

» 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: 161

MCQ▾

### Question

If the roots of the equation are reciprocals to each other, then value of q is –

### Choices

Choice (4) Response

a.

2

b.

4

c.

9

d.

3

## Question number: 162

MCQ▾

### Question

If n is the smallest natural number such that n + 2n + 3n + … + 66n is a perfect square, then the value of n2 is –

### Choices

Choice (4) Response

a.

4489

b.

36

c.

1089

d.

484

## Question number: 163

» Basic Mathematics » Algebra » Solving Equations

MCQ▾

### Question

Roots of equation: are –

### Choices

Choice (4) Response

a.

1, -3

b.

-3, -4

c.

-1, 3

d.

3, 4

## Question number: 164

» 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.

## Question number: 165

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

### Question

In the figure given below, ABCD is square. E, F, G, H, I, J, K and L are the trisections points of the sides as shown. If the side of the square ABCD is 12 cm, then the area of the regular octagon EFGHIJKL is –

### Choices

Choice (4) Response

a.

64 cm2

b.

144 cm2

c.

32 cm2

d.

112 cm2

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