# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 561 - 570 of 1484

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## Question 561

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 562

### Question

MCQ▾

Solve the equation where is acute .

### Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

## Question 563

### Question

MCQ▾

Find a positive integral solution to the equation

### Choices

Choice (4)Response

a.

120

b.

220

c.

221

d.

121

## Question 564

### Question

MCQ▾

If then ________.

### Choices

Choice (4)Response

a.

b.

c.

2

d.

All of the above

## Question 565

### Question

MCQ▾

The product of and is ________.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 566

### Question

MCQ▾

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 567

### Question

MCQ▾

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 568

### Question

MCQ▾

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 569

MCQ▾

The value of is

### Choices

Choice (4)Response

a.

225

b.

90

c.

85

d.

112

## Question 570

MCQ▾

If , then

### Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

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