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1B MATHS CHAPTER STRAIGHT LINES 4M IMPORTANT QUESTIONS 1,2 & 3

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Question 1- transform the equation root3x+y=4 into a) slope intercept form b) intercept form c) normal form
Question 2- Transform the equation x/a + y/b =1 into normal form when a greater than 0 and b greater than 0. If the perpendicular distance of straight line from the origin is p, deduce that 1/p^2 = 1/a^2 +1/b^2
Question 3- If the straight lines ax+by+c=0, bx+cy+a=0 and cx+ay+b=0 are concurrent then prove that a^3+b^3+c^3=3abc
Question 2- Transform the equation x/a + y/b =1 into normal form when a greater than 0 and b greater than 0. If the perpendicular distance of straight line from the origin is p, deduce that 1/p^2 = 1/a^2 +1/b^2
Question 3- If the straight lines ax+by+c=0, bx+cy+a=0 and cx+ay+b=0 are concurrent then prove that a^3+b^3+c^3=3abc