# Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 30 - 34 of 164

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## Question number: 30

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2013

MCQ▾

### Question

Let ABCD be a square and let P be point on segment CD such that DP: PC = 1: 2. Let Q be a point on segment AP such that ∠BQP = 90°. Then the ratio of the area of quadrilateral PQBC to the area of the square ABCD is.

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 31

» 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

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 32

» 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: 33

» 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: 34

» 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.

d.

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