JEE Main: Co-Ordinate Geometry Exam Quiz!

Approved & Edited by ProProfs Editorial Team

The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.

Learn about Our Editorial Process

| By Tanmay Shankar

Tanmay Shankar

Community Contributor

Quizzes Created: 484 | Total Attempts: 1,795,914

Questions: 10 | Attempts: 117 | Updated: Mar 21, 2023

Questions

Settings

Feedback

During the Quiz End of Quiz

Difficulty

Sequential Easy First Hard First

Play as

Quiz Flashcard

Create your own Quiz

Share on Facebook Share on Twitter Share on Whatsapp Share on Pinterest Share on Email Copy to Clipboard Embed on your website

Questions and Answers

1.

If the line x = 1/2, is the directrix of a parabola y² – kx + 6 = 0, then which of the following is a value of ‘k’?
- A.
  
  – 4
- B.
  
  – 6
- C.
  
  – 1/4
- D.
  
  – 8
Correct Answer
B. – 6
2.

Equations x = t²+t+1 and y = t² – t +1, represents which of the following curve?
- A.
  
  An ellipse
- B.
  
  A pair of straight
- C.
  
  A hyperbola
- D.
  
  A parabola
Correct Answer
D. A parabola
3.

Angle between tangents drawn from the point (2, 1) to the parabola y² = – 32x is:
- A.
- B.
- C.
- D.
Correct Answer
B.
4.

A parabola has the origin at it focus and the line x = 2 as its directrix. Then the vertex of the parabola will be at:
- A.
  
  (2, 0)
- B.
  
  (0, 2)
- C.
  
  (1, 0)
- D.
  
  (0, 1)
Correct Answer
C. (1, 0)

Explanation
from the diagram it is clear that the vertex will be the midpoint of OP So co-ordinate of vertex are (1, 0)

Rate this question:
5.

The eccentricity of the ellipse with its centre at the origin is 1/2. If one of the directrix is x = 4, then which of the following correctly represent the equation of ellipse.
- A.
- B.
- C.
- D.
Correct Answer
A.
6.

The number of values of c such that the straight line y = 4x + c touches the curve ;is:
- A.
  
  4
- B.
  
  0
- C.
  
  Infinite
- D.
  
  2
Correct Answer
D. 2
7.

Tangents are drawn to the ellipse at the end of the latus retum. The area of the quadrilateral so formed is:
- A.
  
  54
- B.
  
  27
- C.
  
  27/2
- D.
  
  36
Correct Answer
A. 54
8.

If x = 9 is the chord of the contact of the hyperbola x² – y² = 9, then the equation of the corresponding pair of tangents is
- A.
- B.
- C.
- D.
Correct Answer
B.
9.

2x + √6 y = 2 touches the hyperbola x² – 2y² = 4, then the point of contact is:
- A.
- B.
- C.
  
  Both a & b
- D.
  
  None of these
Correct Answer
C. Both a & b
10.

The eccentricity of hyperbola 3x² – y² = 4 is:
- A.
  
  1
- B.
  
  5
- C.
  
  – 2
- D.
  
  2
Correct Answer
D. 2

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

Current Version
Mar 21, 2023

Quiz Edited by
ProProfs Editorial Team
Aug 27, 2014

Quiz Created by
Tanmay Shankar

JEE Main: Co-ordinate Geometry Exam Quiz!

If the line x = 1/2, is the directrix of a parabola y2 – kx + 6 = 0, then which of the following is a value of ‘k’?

Equations x = t2+t+1 and y = t2 – t +1, represents which of the following curve?

Angle between tangents drawn from the point (2, 1) to the parabola y2 = – 32x is:

A parabola has the origin at it focus and the line x = 2 as its directrix. Then the vertex of the parabola will be at:

The eccentricity of the ellipse with its centre at the origin is 1/2. If one of the directrix is x = 4, then which of the following correctly represent the equation of ellipse.

The number of values of c such that the straight line y = 4x + c touches the curve ;is:

Tangents are drawn to the ellipse at the end of the latus retum. The area of the quadrilateral so formed is:

If x = 9 is the chord of the contact of the hyperbola x2 – y2 = 9, then the equation of the corresponding pair of tangents is

2x + √6 y = 2 touches the hyperbola x2 – 2y2 = 4, then the point of contact is:

The eccentricity of hyperbola 3x2 – y2 = 4 is:

If the line x = 1/2, is the directrix of a parabola y² – kx + 6 = 0, then which of the following is a value of ‘k’?

Equations x = t²+t+1 and y = t² – t +1, represents which of the following curve?

Angle between tangents drawn from the point (2, 1) to the parabola y² = – 32x is:

If x = 9 is the chord of the contact of the hyperbola x² – y² = 9, then the equation of the corresponding pair of tangents is

2x + √6 y = 2 touches the hyperbola x² – 2y² = 4, then the point of contact is:

The eccentricity of hyperbola 3x² – y² = 4 is: