Find the equation of the locus of a point P which is equidistant from the straight line 3x-4y+2=0 and the origin.sum no 10

Find the equation of the locus of a point P which is equidistant from the straight line 3x-4y+2=0 and the origin.sum no 10 Ch 16—24 Calculate the length Of the perpendiculM from to the straight line ow that is twice the length ofthe perpendicular from (2. i). CT 5. are the vertices Of a triangle, Find to and hence the area of the the lengths of altitudes of the triangle whose sides are given the perpendicular distance of the Origin from the line whose im and". show that 6. Find the perpendicular distance between the line* O, 3x*4y+ 17 9x . Find the equations oftwo straight lines which areparallel to the straight liner ind the equations Of the two straight lines drawn through the point (m On rpendiculars dropped from the point (2, 2) arc each of unit length. A straight line is parallel to the lines 3x— y —3 O and 3x— y + S and lies betwee% Find its equation if its distances from these linesare in the ratio 3: 5. 10. Find the equation of the locus ofa pointP which is equidistant from these line and the origin. 11. A pointP is such that the sum of the squares ofits distances from the two axes is equal to the square of its distance from the linex —y — I. Find the equation ofthe 12. Show that the equation to the parallel line mid-way between the parallel lines •ar+by4-c, = O is ax + c2 13. Prove that the line O is mid-parallel to the lines 12x ANSWERS 17 2.2 units. 3. 13 le—dl (ii)l, 8. y-l -o,4x-3y 11. = o. 7. x+7Y+5(Ci 10. 24xy— 12K + 16y—4.- HINTS TO SELECTED QUESTIONS Let the required line be 3x —y + c = 0 Take say, (0, c) on it. Then (Given)