First slide
Equation of line in Straight lines
Question

For all values of θj all the lines represented by the equation (2cosθ+3sinθ)x+(3cosθ5sinθ)y(5cosθ2sinθ)=0 passes through a fixed point then the reflection of that point with respect to the line x+y=2 is

Moderate
Solution

Intersecting 2x+3y-5=0 and 3x-5y+2=0 is (1,1). Find the image of (1,1) w.r.t to x+y=2

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