# KVPY Stream-SA (Class 11) Math: Questions 6 - 9 of 265

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## Question number: 6

Appeared in Year: 2011

MCQ▾

### Question

In the adjoining figure AB = 12 cm, CD = 8 cm, BD = 20 cm; ∠ ABD = ∠ AEC = ∠ EDC = 90 0. If BE = x, then,

### Choices

Choice (4) Response

a.

x has only one value and

b.

x has two possible values whose difference is 4

c.

x has two possible values whose sum is 28

d.

x cannot be determined with the given information

## Question number: 7

Appeared in Year: 2011

MCQ▾

### Question

Below are four equations in x. Assume that 0 < r < 4. Which of the following has the largest solution for x?

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 8

MCQ▾

### Question

Let a, b, x, y be real numbers such that , and . Then the set of all possible values of is –

### Choices

Choice (4) Response

a.

b.

c.

{0}

d.

## Question number: 9

Appeared in Year: 2011

MCQ▾

### Question

Let ABC be a triangle with ∠ B = 90 0. Let AD be the bisector of ∠ A with D on BC. Suppose AC = 6 cm and the area of the triangle ADC is 10 cm 2. Then the length of BD in cm is equal to

### Choices

Choice (4) Response

a.

b.

c.

d.

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