If the parametric values of two points A and B on the circles x^2+y^2-6 x+4 y-12=0 are 30^ and 90^ respectively, then the equation of chord A B is

Step-by-step solution

Given, equation of circle x^2+y^2-6 x+4 y-12=0 (x-3)^2+(y+2)^2=(5)^2 parametric form of circle is aligned & x=3+5 , y=-2+5 & When =30^ & A (3+5 30^ ,-2+5 30^ ) & A (3+ 5 3 2 ,-2+ 5 2 )= ( 6+5 3 2 , 1 2 ) aligned aligned & When =90^ & array l B (3+5 90^ ,-2+5 90^ ) B(3,3) array aligned Equation of chord A B where aligned & A= ( 6+5 3 2 , 1 2 ) and B=(3,3) & y-3= 1 2 -3 6+5 3 2 -3 (x-3) & y-3= -1 3 (x-3) 3 y-3 3 =-x+3 & x+ 3 y-3 3 -3=0 & x+ 3 y-3(1+ 3 )=0 aligned