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 –

 A regular octagon EFGHIJKL

a Regular Octagon EFGHIJKL

In figure ABCD is square. E, F, G, H, I, J, K and L are the trisections points of the sides and make a rectangular octagon.

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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