Mathematics
In the given diagram, ABC is a triangle, where B(4, -4) and C(-4, -2). D is a point on AC.
(a) Write down the coordinates of A and D.
(b) Find the coordinates of the centroid of ∆ABC.
(c) If D divides AC in the ratio k : 1, find the value of k.
(d) Find the equation of the line BD.
Related Questions
In the given diagram, an isosceles ∆ABC is inscribed in a circle with centre O. PQ is a tangent to the circle at C. OM is perpendicular to chord AC and ∠COM = 65°. Find :
(a) ∠ABC
(b) ∠BAC
(c) ∠BCQ
The polynomial 3x3 + 8x2 - 15x + k has (x - 1) as a factor. Find the value of k. Hence factorize the resulting polynomial completely.
The following letters A, D, M, N, O, S, U, Y of the English alphabet are written on separate cards and put in a box. The cards are well shuffled and one card is drawn at random. What is the probability that the card drawn is a letter of the word,
(a) MONDAY?
(b) which does not appear in MONDAY?
(c) which appears both in SUNDAY and MONDAY?