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1. Let ABC be an acute.angled triangle. The circle I with BC as diameter intersects AB and AC again at P and Q, respectively. Determine angle BAC given that the orthocentre of triangle APQ lies on circle I. 2. Find all primes p and, q such that p divides q2 - 4 and q divides p2 -1.

1. Let ABC be an acute.angled triangle. The circle I with BC as diameter intersects AB and AC again at P and Q, respectively. Determine angle BAC given that the orthocentre of triangle APQ lies on circle I.

2. Find all primes p and, q such that p divides q2 - 4 and q divides p2 -1.

Grade:9

1 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
one year ago
Dear student

Please write the Question in a standard form or attach an image of the question

“2. Find all primes p and, q such that p divides q2 - 4 and q divides p2 -1.”

Kindly ask one question per post

Regards

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