*Inverse function Function of the form, have the shown variation. All the curves pass through the point (1, 1). For n > 1 the graph lies above the rectangular hyperbola (n =1) in the region 0 < x < 1 and then lies below it in the region x > 1. For 0 < n […]
*Rectangular hyperbola Function xy = c represents a rectangular hyperbola. It meets both x & y axis at infinity only. It is located in quadrant 1 & 3 if c = +ve & in 2 & 4 if c = – ve.
*Right handed or left handed parabola A quadratic of the form x = ay2 + by + c represents an right handed or a left handed parabola, it can also be expressed by the following function (y – v)2 = L (x – u) Here (u, v) represent coordinates of vertex (V) of a parabola. […]
*Up or down parabola A quadratic of the form y = ax2 + bx + c represents an upward or a downward parabola, it can also be expressed by the following function (x – u)2 = L (y – v) L= +ve for upward parabola & L = – ve for a downward parabola.
*Parabola Parabola is an open figure & can be defined as the locus of a point P which moves in a plane so that its distance from a fixed point (called Focus, F) bears a constant ratio (called eccentricity, e = 1) to its distance from a fixed straight line (called directrix).
*Intercept form Suppose a line cuts x axis at point A (a, 0) and cuts y axis at a point B (0, C), then it can be described by the equation, [called intercept form].
*Point slope form Equation of a straight line having slope m and passing through a point A (x1, y1) is 2 point form Equation of a straight line passing through two point A (x1, y1) and B (x2, y2) is
*Vertical line Function x = a represents a vertical line located right side of y axis if a = +ve & left side of y axis if a = – ve.
*Straight line Function y = m x + c represents a straight line cutting + y at acute angle to +x. m = tanq is called slope of the line. q = anticlockwise angle made by the line with + x axis. m = +ve if line makes acute angle to +x. m = 0 […]
*Trigonometric functions We know following values for sinθ & cosθ. Using these values we can plot the following graphs: Note the function y = sinx completes one cycle at 3600 where as y = sin2x completes it at 1800 & at y = sinx/2 completes it at 7200.
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