Let L denote the line in the x y -plane with x and y intercepts as 3 and 1 respectively. Then the image of…

Let L denote the line in the xy-plane with x and y intercepts as 3 and 1 respectively. Then the image of the point-1, -4 in the line is :
  1. 115, 285
  2. 295, 85
  3. 85, 295
  4. 295, 115

Solution

Equation of line is

x3+y1=1x+3y-3=0

if image isx1,y1

Then,

x1+11=y1+43=-2-1-12-310

x1+1=y1+43=165

x1=115,y1=285

Asked in: JEE Main 2020 (06 Sep Shift 2)

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