13 - Curriculum Development Centre, Kalamassery

2.2 Properties of Triangles2.2.0 Understand the properties of triangles2.2.1 State and prove the following identities1) a = b = c = 2RSin A Sin B Sin C2) a² = b²+c²-2bc cos A3) a = b Cos C + c Cos B2.2.2 State and prove1) Napier’s formulatan ( B-C ) = b-c cot (A/2)2 b+c2) (b-c) cos (A/2) = a sin (B-C)22.3 Solution of triangles2.3.0 Solve a triangle given necessary data2.3.1 Solve a triangle, given1) Three sides2) Two sides and the included angle by using Napier’s formula.2.4 Co-ordinate Geometry2.4.0 Understand various forms of the equation of a straight line2.4.1 Define slope of a straight line2.4.2 Find the slope of a line joining two points (x ı ,y ı ) and (x 2 ,y 2 )2.4.3 Derive the equation of a straight line of the form1) y = mx + c2) y-y ı = m(x-x ı )3) y-y ı = x-x ıy ı -y 2 x ı -x 24) x + y = 1a b2.4.4 Find the equation of a line given suitable data using any of the above form.2.4.5 Find the slope and intercepts on the axes, given a linear equation in ‘x’ and ‘y’.2.4.6 Find the point of intersection of two lines whose equations are given2.4.7 Find the angle between two lines2.4.8 Find the condition for two lines are1) Parallel2) Perpendicular2.4.9 Find the equation of the line1) Parallel and2) Perpendicular to a given line and passing through a given point.UNIT – III3.1 Functions and Limits3.1.0 Understand the concepts of functions and limits3.1.1 Give example for functions3.1.2 Explain the meaning of limit of the following type1) f(x) = lx -> a2) limit 1/x = 0x ->α3.1.3 Find the limit of the following type1) limit 2x + 1x->1 3x - 22) limit 2x² + 3xx-> α 5x² + 4x + 117