# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 561 - 569 of 1484

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## Question number: 561

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MCQ▾

### Question

Find the value of “a” and “b” so that and may be factors of .

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 562

Edit
MCQ▾

### Question

Solve the equation where is acute .

### Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

## Question number: 563

Edit
MCQ▾

### Question

Find a positive integral solution to the equation

### Choices

Choice (4)Response

a.

120

b.

220

c.

221

d.

121

## Question number: 564

Edit
MCQ▾

### Question

If then ________.

### Choices

Choice (4)Response

a.

b.

c.

2

d.

All of the above

## Question number: 565

Edit
MCQ▾

### Question

The product of and is ________.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 566

Edit
MCQ▾

### Question

The sum of ‘n’ terms of an AP is . Then the nth term is

### Choices

Choice (4)Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 567

Edit
MCQ▾

### Question

The discriminant of with a, c and real constants is zero. The roots must be

### Choices

Choice (4)Response

a.

Equal and integral

b.

Real and equal

c.

Imaginary

d.

Rational and equal

## Question number: 568

Edit
MCQ▾

### Question

In what ratio is the segment joining the points and divided by X-axis?

### Choices

Choice (4)Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 569

Edit
MCQ▾

The value of is

### Choices

Choice (4)Response

a.

225

b.

90

c.

85

d.

112

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