# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 567 - 573 of 1484

Access detailed explanations (illustrated with images and videos) to 1484 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. Subscription can be renewed yearly absolutely FREE! View Sample Explanation or View Features.

Rs. 500.00 or

How to register?

## 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

## Question number: 570

Edit
MCQ▾

If , then

### Choices

Choice (4) Response

a.

b.

c.

d.

All of the above

## Question number: 571

Edit
MCQ▾

### Question

The height of a cone is 60 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume is the volume of cone, the height at which the section is made is ________.

### Choices

Choice (4) Response

a.

39.3 cm

b.

37.1 cm

c.

27.6 cm

d.

22.9 cm

## Question number: 572

Edit
MCQ▾

### Question

Find a positive integral solution to the equation

### Choices

Choice (4) Response

a.

110

b.

116

c.

115

d.

240

## Question number: 573

Edit
MCQ▾

### Question

If the and terms of an AP are P, Q and R respectively, then = ________.

### Choices

Choice (4) Response

a.

pqr

b.

c.

0

d.

1

Developed by: