Fill in the blanks:
The tangent of the acute angle between the lines `x/a + y/b = 1and x/a - y/b = 1` is …………

Find the bisector of acute angle between the lines x+y - 3 = 0 and 7x - y + 5 = 0

Find the acute angles between the st. lines : 2x-y+3=0 and x+y-2=0 .

Find angles between the lines sqrt3 x+ y = 1 and x + sqrt3y = 1.

Find the acute angles between the st. lines : sqrt3 x+y =1 and x+sqrt3 y=1 .

Find the acute angles between the st. lines : y-3x-5=0 and 3y -x +6= 0 .

Fill in the blanks: The tangent to the curve y = x^3 at the point (4,8) is ______.

Fill in the blanks The are bounded by the axes and the line y= x+1 is………. .

Find the acute angles between the st. lines : y-sqrt3 x-5=0 and 3y-x+6=0 .

Fill in the blanks The area of the region bounded by the curve x= y^2 , y-axis and the lines y = 3, y = 4 is…….. .