Evaluate `(4!)/(0! 4!) × (9!)/(7! 2!)`

Evaluate (3!)/(2! 2!) × (8!)/(7! 4!)

Evaluate |(2,-3,4),(0,-7,0),(0,0,i)|

Evaluate the following {:[(4),(7)] [(7, 9)] + [(4,0),(0,-5)] .

Evaluate : lim_(x rarr 0)(sin 3x+7x)/(4x+sin 2x) .

Solve: 4/9 + 2/7

The possible values of theta in (0,pi) such that sin (theta) + sin (4theta) + sin(7theta) = 0 are (1) (2pi)/9 , i/4 , (4pi)/9, pi/2, (3pi)/4 , (8pi)/9 (2) pi/4, (5pi)/12, pi/2 , (2pi)/3, (3pi)/4, (8pi)/9 (3) (2pi)/9, pi/4 , pi/2 , (2pi)/3 , (3pi)/4 , (35pi)/36 (4) (2pi)/9, pi/4, pi/2 , (2pi)/3 , (3pi)/4 , (8pi)/9

Show that the point :- (4, 2), (7, 5) and (9, 7) are collinear.

If centroid of a triangle be (1, 4) and the coordinates of its any two vertices are (4, -8) and (-9, 7), find the area of the triangle.