# 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.
| By Tanmay Shankar
T
Tanmay Shankar
Community Contributor
Quizzes Created: 491 | Total Attempts: 1,791,964
Questions: 10 | Attempts: 117

Settings

.

• 1.

• A.

– 4

• B.

– 6

• C.

– 1/4

• D.

– 8

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

D. A parabola
• 3.

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)

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.

A.
• 6.

• A.

4

• B.

0

• C.

Infinite

• D.

2

D. 2
• 7.

• A.

54

• B.

27

• C.

27/2

• D.

36

A. 54
• 8.

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

C. Both a & b
• 10.

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

• A.

1

• B.

5

• C.

– 2

• D.

2

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

Related Topics