Mirror property in a straight line 27th June 2020 Math Mirror property in a straight line :Reflection in the surface —Incident ray (IP)Normal (PN)Reflected ray (PR)Angle of incidence = angle of reflection Refraction in the surface —Let assume Incident ray makes an angle θ with tangent then refracted ray makes an angle (θ + a ) with tangent.Where a is an angle in opposite side after deviation. Image of the Point in different cases -:1.The image of the point with respect to the line mirror:The image of the point M(x1 , y1 ) with respect to the line mirror ax + by + c = 0 be N(x2 , y2) is given as – 2.The image of the point with respect to the x-axis:Let P ( x, y ) be any point P’( x1 , y1 ) its image after reflection on x-axis-Then x1 = x y1 = – y 3.The image of the point with respect to the y-axis:Let P ( x, y ) be any point P’( x1 , y1 ) its image after reflection on x-axis-Then x1 = -x y1 = y 4.The image of the point with respect to the origin:Let P ( x, y ) be any point P’( x1 , y1 ) its image after reflection through the origin –Then x1 = – x y1 = – y 5.The image of the point with respect to the line y = x :Let P ( x, y ) be any point P’( x1 , y1 ) its image after reflection on y = x –Then x1 = y y1 = x 6.The image of the point with respect to the line y = x tanθ :Let P ( x, y ) be any point P’( x1 , y1 ) its image after reflection on y = x tanθ :Then x1 = x cos2θ + y sin2θ y1 = x sin2θ – y cos2θ