 Hello and welcome to the session. In this session we will discuss the question which says that find the equation of parabola whose focus is at 2, 3 and equation of dielectric is 3x plus 4y minus 2 is equal to 0. Now before starting the solution of this question we should know a result and that is let h a be the focus s and ax plus by plus c is equal to 0 be the equation of the dielectric parabola that is the lm is the dielectric of this parabola. Now the definition of parabola which is which moves so that its distance from a fixed point which is the locus is equal to the distance from a fixed line that is dielectric that is the distance from the dielectric distance p s will be equal to which will be equal to now the distance of x plus by plus c is equal to 0 therefore this distance will be equal to mod of ax plus by plus c whole upon square root of a square. Now this result will work out as a key idea for solving r and now we will start with the solution. Now we have to find the equation of parabola whose focus is at equation of the dielectric parabola x is equal to 0 3x plus 4y minus 2 is equal to 0. Now let which is given in the key idea the distance whose coordinates are 2 3 the perpendicular distance whose equation is 3x plus 4y minus 2 is equal to 0. The distance of the point p from the focus by distance formula will be square root of 2 whole square plus y minus 3 whole square is equal to 0. The perpendicular distance of the point p from the dielectric which will be mod of plus 4y minus 2 square root of a square which is 3 square plus b square which is plus y minus 3 whole square of 3x plus 4y minus 2 the root of 3 square is 9 16 so 16 plus 9 is 25. We get whole square plus y minus 3 whole square plus 4 minus 4x plus y square is equal to 3x plus 4y minus 2 whole square whole upon 25. Now this implies on positive minus 100x times y square minus 150y is equal to now for this applying the formula of a plus b minus c whole square so it will give 3x whole square plus 4y into 3x into 4y plus 2 into 4y into minus 2 into minus 2 into now this implies 100 minus 100x plus 25y square with minus 150y is equal to 9x square plus 6 plus 4 plus 24xy minus 9x square plus 25y square minus 16y square minus 100xy is equal to 0. 9y square minus 134y and on solving this 2xy is equal to 0. This will require equation of the given question and that's all for this session. Hope you all have enjoyed the session.