10 Questions
| Attempts: 150

Questions and Answers

- 1.Who was the first European that found the solution for Pell's equation?
- A.
William Brouncker

- B.
John Pell

- C.
Bathsua Makin

- D.
Leonhard Euler

- 2.Who has mistakenly attributed Lord Brouncker's solution of the equation to John Pell?
- A.
Johann Bernoulli

- B.
Leonhard Euler

- C.
John Pell

- D.
Pierre Bouguer

- 3.In Cartesian coordinates, what form does the Pell's equation have?
- A.
Ellipse

- B.
Circle

- C.
Hyperbola

- D.
Parabola

- 4.Who was the first European that concluded that if n is not a perfect square, Pell's equation can have infinite distinct integer solutions?
- A.
John Pell

- B.
Narayana Pandit

- C.
William Brouncker

- D.
Joseph Louis Lagrange

- 5.Where was the equation studied extensively for the first time?
- A.
India

- B.
Italy

- C.
Germany

- D.
England

- 6.With which subject in mathematics does Pell's equation have connections?
- A.
Chebyshev polynomials

- B.
Continued fractions

- C.
Algebraic number theory

- D.
All of the above

- 7.What is the Brouncker's solution for the equation (see picture) that was made by Fermat in 1657 to chalenge his fellows mathematicians?
- A.
(x,y) = (32188120829134849,181938015856460)

- B.
(x,y) = (1,2)

- C.
(x,y) = (176619049,226153980)

- D.
(x,y) = (0,-1)

- 8.Who made the first significant progress in solving the Pell’s equation?
- A.
Mahavira

- B.
Varahamihira

- C.
Yativṛṣabha

- D.
Brahmagupta

- 9.What did Bhāskarāchārya developed for solving Pell's equation?
- A.
Chakravala method

- B.
Geometric method

- C.
Graphic method

- D.
Muller's method

- 10.When was William Brouncker born?
- A.
1596

- B.
1605

- C.
1620

- D.
1643

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