Mathematics
If a, b and c are in continued proportion, then prove that : 3a^2 + 5ab + 7b^2/3b^2 + 5bc + 7c^2 = a/c .
Related Questions
In a recurring deposit account for 2 years, the total amount deposited by a person is ₹ 9600. If the interest earned by him is one-twelfth of his total deposit, then find :
(a) the interest he earns
(b) his monthly deposit
(c) the rate of interest
Find :
(a) (sin θ + cosec θ)2
(b) (cos θ + sec θ)2
Using the above results prove the following trigonometry identity :
(sin θ + cosec θ)2 + (cos θ + sec θ)2 = 7 + tan2 θ + cot2 θ
In the given diagram, O is the center of circle circumscribing the △ABC, CD is perpendicular to chord AB. ∠OAC = 32°. Find each of the unknown angles, x, y and z.

Study the graph and answer each of the following :
(a) Name the curve plotted
(b) Total number of students
(c) The median marks
(d) Number of students scoring between 50 and 80 marks.
