# Basic Mathematics-Geometry (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 9 - 13 of 64

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## Question number: 9

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2014

MCQ▾

### Question

In a triangle ABC with ∠A = 90°, P is a point on BC such that PA: PB = 3: 4. If and , then BP: PC is.

### Choices

Choice (4) Response

a.

8: 7

b.

4: 3

c.

4: 5

d.

2: 1

## Question number: 10

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2012

MCQ▾

### Question

The sides of a triangle are distinct positive integers in an arithmetic progression. If the smallest side is 10, the number of such triangles is

### Choices

Choice (4) Response

a.

10

b.

9

c.

8

d.

infinitely many

## Question number: 11

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2012

MCQ▾

### Question

In triangle ABC, let AD, BE and CF be the internal angle bisectors with D, E and F on the sides BC, CA and AB respectively. Suppose AD, BE and CF concur at I and B, D, I, F are concyclic, then ∠IFD has measure.

### Choices

Choice (4) Response

a.

any value ≤ 90

b.

15

c.

45

d.

30

## Question number: 12

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2014

MCQ▾

### Question

In a quadrilateral ABCD, which is not a trapezium, it is known that ∠DAB = ∠ABC = 600. Moreover, ∠CAB = ∠CBD. Then

### Choices

Choice (4) Response

a.

b.

AB = BC + CD

c.

d.

## Question number: 13

» 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.

f Page