Question

plz explain me the basic concepts and steps to solve questions of EQUATION OF THE STRAIGHT LINE.....

Answer 1

STRAIGHT LINEis a locus of the point P (h,k) which moves in such a way that point P is collinear with the two given points. We can also define straight line as a curve such that the every point on the line segment joining any two points on it lies on it. Line is a 1-D curve and thus its equation will be of degree one.

For 0< θ < π/2 :- Slope is positive (since tan is positive in first quadrant)For π/2 < θ <π :- Slope is negative (since tan is negative in second quadrant)


 If we consider a single point, definitely infinite numbers of straight lines can be drawn passing through it. But if we are given two points, then one and only one line passes through it. Thus we require at least two conditions to get one unique line. Depending upon the two conditions available with us, we can write the equations in different forms. Some of them are:


A.   TWO-POINT FORM OF A LINE:

Consider two points A(x1, y1) and B(x2, y2). Let C(x,y) be any point which is collinear with A and B (condition for any point to be on a line). Thus we can say, slope of AB = slope of AC

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