IIT JEE 2008 Paper I - Multiple choice

Thrillionaire Game

IIT JEE 2008
Paper I

Solve 10 questions in a row to reach one "thrillion" dollars! You are allowed 3 hints/clues per game.

Q = million $

1 = 2000

2 = 4000

3 = 8000

4 = 16000

5 = 32000

6 = 64000

7 = 125,000

8 = 250,000

9 = 500,000

10 = 1,000,000

1. Consider the two curves

C₁ : y² = 4 x

C₂ : x² + y² − 6x + 1 = 0

Then,

C₁ and C₂ touch each other only at one point

C₁ and C₂ touch each other exactly at two points

C₁ and C₂ intersect (but do not touch) at exactly two points

C₁ and C₂ neither intersect nor touch each other

Half-n-half Clue

Question 1 of 10. Clues Available: 3