Basic Mathematics-Geometry (KVPY Stream-SA (Class 11) Math): Questions 14 - 18 of 62

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Question number: 14

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2014

MCQ▾

Question

A semi-circle of diameter 1 unit sits at the top of a semi-circle of diameter 2 units. The shaded region inside the smaller semi-circle but outside the larger semi-circle is called a lune. The area of the lune is

Two semi-circle spheres

Two Semi-Circle Spheres

In figure a semi-circle of diameter 1 unit sits at the top of a semi-circle of diameter 2 units.

Choices

Choice (4) Response

a.

34π8

b.

34π12

c.

π634

d.

34π24

Question number: 15

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2013

MCQ▾

Question

In a triangle ABC with ∠A < ∠B < ∠C, points D, E, F are on the interior of segments BC, CA, AB, respectively. Which of the following triangles CANNOT be similar to triangle ABC?

Choices

Choice (4) Response

a.

Triangle ABD

b.

Triangle BCE

c.

Triangle CAF

d.

Triangle DEF

Question number: 16

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2014

MCQ▾

Question

The angle bisectors BD and CE of a triangle ABC are divided by the in centre I in the ratios 3: 2 and 2: 1 respectively. Then the ratio in which I divide the angle bisector through A is

Choices

Choice (4) Response

a.

11: 4

b.

6: 5

c.

7: 4

d.

3: 1

Question number: 17

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2010

MCQ▾

Question

Consider a square ABCD of side 12 and let M, N be the midpoints of AB, CD respectively. Take a point P on MN and let AP = r, PC = s. Then the area of the triangle whose sides are r, s, 12 is

Choices

Choice (4) Response

a.

36

b.

72

c.

rs2

d.

rs7

Question number: 18

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2013

MCQ▾

Question

On each face of a cuboid, the sum of its perimeter and its area is written. Among the six numbers so written, there are three distinct numbers and they are 16, 24 and 31. The volume of the cuboid lies between.

Choices

Choice (4) Response

a.

21 and 28

b.

28 and 35

c.

7 and 14

d.

14 and 21

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