TS EAMCET 9-Sep-2020 Shift 1 Solved Paper

Let the equation of line through the point (1,0) having slope m,(m≠0) is y=mx−m, Now, the combined equation of pair of straight lines joining the point of intersections of given curve 2x2+5y2−7x=0 and line y=mx−m to the origin is
2x2+5y2−7x(‌

mx−y

m

)=0
⇒2mx2+5my2−7x(mx−y)=0
⇒‌‌−5mx2+5my2+7xy=0.........(i)
Since, the Eq. (i) represents the perpendicular lines, because sum of coefficients of x2 terms and y2 terms is zero.