# Basic Mathematics-Geometry (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 46 - 50 of 64

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## Question number: 46

» 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

## Question number: 47

» Basic Mathematics » Geometry » Triangle and Properties

MCQ▾

### Question

The angle bisectors BM and CN of a triangle ABC are divided by the in centre I in the ratios 5: 3 and 3: 1 respectively. Then triangle is –

### Choices

Choice (4) Response

a.

Isosceles

b.

Equilateral

c.

Scalene

d.

All of the above

## Question number: 48

» Basic Mathematics » Geometry » Triangle and Properties

MCQ▾

### Question

In a triangle PQR with ∠Q = 90°, M is a point on PR such that QM: QR = 5: 2. If and , then MR: MP is –

### Choices

Choice (4) Response

a.

b.

1: 2

c.

2: 1

d.

## Question number: 49

» Basic Mathematics » Geometry » Quadrilateral and Properties

MCQ▾

### Question

The area of a rectangular ABCD is 40. Points E and F are on the side BC, such that area of the trapezoid AEFD becomes 32. Find the ratio of parallel sides of trapezoid AEFD.

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 50

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

### Question

Consider a square PQRS of side 16 and let M, N be the midpoints of PQ, RS respectively. Take a point O on MN and let PO = 7, OR = 11. Then the area of the triangle whose sides are 7,11,16 is –

### Choices

Choice (4) Response

a.

64

b.

36

c.

77

d.

44

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