JEE Main Mathematics: Co-ordinate Geometry Quiz!

10 Questions | By Jagranjosh | Last updated: Mar 18, 2022 | Total Attempts: 56

Questions

Settings

Create your own Quiz

JEE Main Mathematics: Co-ordinate Geometry Quiz! - Quiz

Questions and Answers

1.

If a, b, c are related by 9a²+ 16b² – 16c² + 24ab = 0then the greatest distance between any two lines of the family of lines ax + by + c = 0 is:
- A.
  
  4/3
- B.
- C.
- D.
2.

If a₁, a₂, a₃ as well as b₁, b₂, b₃ are in G.P. with the same common ratio, then the points (a₁, b₁), (a₂, b₂) and (a₃, b₃):
- A.
  
  Are vertices of a triangle
- B.
  
  Lie on parabola
- C.
  
  Lie on a circle
- D.
  
  Lie on a straight line
3.

What will be the equation of the straight line passing from the point (–3, 5) and making intercept of length between the lines x + 3y +1 = 0 and x + 3y – 1 = 0?
- A.
  
  X + 2 = 0
- B.
  
  3x – y + 13 = 0
- C.
  
  3x + 4y =18
- D.
  
  4x + 3y = 12
4.

The line y = x meets y = k at: (Given k ≤ 0)
- A.
  
  One point
- B.
  
  Two points
- C.
  
  Three points
- D.
  
  Zero points
5.

The angle between the pair of straight lines y²sin²θ – xysin²θ + x² (cos²θ – 1) = 0 is:
- A.
- B.
- C.
- D.
6.

The equation: x²y² – 2xy² – 3y² – 4x²y + 8xy + 12y = 0; represents:
- A.
  
  A pair of lines
- B.
  
  A circle and pair of lines
- C.
  
  Four lines
- D.
  
  None of these
7.

Circles x² + y² + 2ax + c = 0 and circle x² +y² +2by + c = 0, touches each other then which of the following is correct?
- A.
  
  1/a + 1/b = 1/c
- B.
- C.
- D.
8.

The number of common tangents to the circle x² + y² – 4 = 0 and x² + y² – 6x – 8y – 24 = 0 is:
- A.
  
  0
- B.
  
  1
- C.
  
  3
- D.
  
  ∞
9.

If the two circles x² + y² = r² and x² + y² – 10x + 16 = 0 intersect each other at some real and distinct points then which of the following is true?
- A.
  
  2 < r < 8
- B.
  
  R = 2
- C.
  
  R < 3
- D.
  
  R > 5
10.

Lines x² – 8x + 12 = 0 and y² – 14y + 45 = 0 form a square. What will be the center of the circle inscribed in the square?
- A.
  
  (4, 3)
- B.
  
  (3, 4)
- C.
  
  (4, 7)
- D.
  
  (7, 4)

Related Topics

More Jee Exam Quizzes

Will I Pass My Exam Quiz

Just how ready are you for the exam? Take up the " Will I pass my exam quiz" below and see if you will pass your exams. Nobody goes into an exam room smiling unless you stole all the answers to the questions. It is very...

Questions: 10 | Attempts: 48279 | Last updated: Mar 22, 2022

Sample Question
Do you study?

Yes, all the time

Sometimes

No, never

Stem Entrance Exam Quiz: Can You Pass This Stem Exam?

Are you preparing for the STEM (Science, technology, engineering, and mathematics) exam? If yes, then this STEM entrance exam quiz will be very useful for you. This quiz consists of STEM-exam-related multiple-choice...

Questions: 29 | Attempts: 40043 | Last updated: Mar 22, 2022

Sample Question
If the set of numbers 3, -12, 48, -192 form a geometric sequence, what is the common ratio between any two consecutive terms?

A. – 12

B. – 8

C. -6

D. -4

GST 103 Questions & Answers By Smilegist

Here is a thrilling, short quiz on GST. If you think you have a good understanding of the use of library and ICT, then you must test your knowledge with this quiz. Don't worry, the quiz here contains...

Questions: 61 | Attempts: 25269 | Last updated: Mar 22, 2022