Mathematics
If A = [[1 3][2 4]], B = [[1 2][2 4]], C = [[4 1][1 5]] and I = [[1 0][0 1]]. Find A(B + C) - 14I.
Related Questions
Prove the following identity :
(sin2 θ - 1)(tan2 θ + 1) + 1 = 0
Use graph sheet to answer this question. Take 2 cm = 1 unit along both the axes.
(a) Plot A, B, C where A(0, 4), B(1, 1) and C(4, 0).
(b) Reflect A and B on the x-axis and name them as E and D respectively.
(c) Reflect B through the origin and name it F. Write down the coordinates of F.
(d) Reflect B and C on the y-axis and name them as H and G respectively.
(e) Join points A, B, C, D, E, F, G, H and A in order and name the closed figure formed.
ABC is a triangle whose vertices are A(1, -1), B(0, 4) and C(-6, 4), D is the mid-point of BC. Find the :
(a) coordinates of D.
(b) equation of the median AD.
In the given figure, O is the center of the circle. PQ is a tangent to the circle at T. Chord AB produced meets the tangent at P. AB = 9 cm, BP = 16 cm, ∠PTB = 50°, ∠OBA = 45°. Find :
(a) length of PT
(b) ∠BAT
(c) ∠BOT
(d) ∠ABT
