Prove that: angle AXD = 1/2 (arc AD - arc Bc)

SUBSCRIBE TO OUR NEWSLETTER
You May Also Like
P, Q, R is the midpoint of sides, AS perpendicular to BC. Prove that PQRC is cyclic quadrilateral. Soln: ...
A card is drawn randomly from the pack of 52 cards, find the probability of getting neither a king nor an ace. Soln: probability that the drawn card will be either king or an ace is 4/52 + 4/52 = 2/13 probability that it will neither be ...
Q.Factorize: (a^2 - 1)(b^2-1) + 4ab? (a^2-1)(b^2-1)+4ab = a^2 b^2 - a^2 - b^2 +1+ 4ab Now break 4ab into 2ab+2ab = a^2 b^2 - a^2 - b^2 +1+ 2ab ...
In a cirlce having radius 7 cm, a tangent 25 cm far from the centre is drawn. What is the length of tangent? Find it. Soln: use pythagoras theorem in triangle AOB (h^2 = p^2 + b^2) OB^2 = OA^2 + AB^2 AB^2=25^2-7^2=576 AB=24 ...
If A+B+C=pi , prove that: sin5A+sin5B+sin5C=4cos(5A/2).cos(5B/2).cos(5C/2) Soln: ...