Mathematics
In the given figure AC is the diameter of the circle with center O. CD is parallel to BE.
∠AOB = 80° and ∠ACE = 20°. Calculate :
(a) ∠BEC
(b) ∠BCD
(c) ∠CED
Related Questions
While factorizing a given polynomial, using remainder and factor theorem, a student finds that (2x + 1) is a factor of 2x3 + 7x2 + 2x - 3.
(a) Is the student's solution correct stating that (2x + 1) is a factor of the given polynomial ? Given a valid reason for your answer.
(b) Factorize the given polynomial completely.
A line segment joining P (2, -3) and Q (0, -1) is cut by the x-axis at the point R. A line AB cuts the y-axis at T(0, 6) and is perpendicular to PQ at S. Find the :
(a) equation of line PQ
(b) equation of line AB
(c) coordinates of points R and S.
In a Geometric Progression (G.P.) the first term is 24 and the fifth term is 8. Find the ninth term of the G.P.