1.2 – N – CONICS – Exercise Problems with solutions

Soln:    x2  –  2xy  + y2 – 16x – 12y + 22 = 0                    —————–   ( 1 ) Condition for  ( 1 ) to represent parabola is  h2 = ab From ( 1 )   a =  1,    b = 1 2h = -2  ⇒  h = -1 h2 = ab (-1)2  =   1 ( 1) 1 = 1 1 = 1.                 ∴  ( 1 )   represents a parabola. 3. Show that the equation  7×2  +  3xy  + 2y2 – x + 2y – 1 = 0  represents an ellipse. Soln: …

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