The Slope m of a line is given by : `m= sqrt3` . Find its inclination.

Equation of a line is 3x- 4y+10=0. Find its : slope .

The slope of a line is double of the slope of another line. If tangent of the angle between them is 1/3 , find the slopes of the lines.

At any point (x, y) of a curve, the slope of the tangent is twice the slope of the line segment joining the point of contact to the point (– 4, –3). Find the equation of the curve given that it passes through (–2, 1).

Find the equation of a st. line through the point A (3, 4) and is inclined to the x-axis at an angle of (3 pi)/4 . Find also the co-ordinates of two points on it on opposite sides of A at a distance sqrt2 from it .

The radius of a cylinder is increasing at the rate of 2m/sec and its height is decreasintg at the rate of 3 m/sec. Find the rate at which the volume of the cylinder is changing when the radius is 3 m and height is 5 m.

Given A (0,0) and B (x,y) with x in (0,1) and y>0 Let the slope of line AB be m_1 . Point C lies on line x=1 such that the slope of BC is equal to m_2 where 0ltm_2ltm_1 . If the area of triangle ABC can be expressed as (m_1-m_2)f(x) then the largest possible value of x is

Two lines passing through the point (2, 3) intersect each other at an angle of 60^@ . If the slope of one line is 2, find the equation of the other line.

Slope of the line joining (3,1) and (4,5) is :