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.
sarthak maan , 12 Years ago
Grade 9
