Mathematics
P is a point on the x-axis which divides the line joining A(-6, 2) and B (9, -4). Find:
(a) the ratio in which P divides the line segment AB.
(b) the coordinates of the point P.
(c) equation of a line parallel to AB and passing through (-3, -2).
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.
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
-11, -7, -3, …….,49, 53 are the terms of a progression.
Answer the following:
(a) What is the type of progression?
(b) How many terms are there in all?
(c) Calculate the value of middle most term.