Question

line y 2x 1   cuts the variable pair of lines given by the equation
   
2 2 2
ty 1 t x t 0     at the points A and B. If the segment AB subtends a right
angle at the point C, then the Locus of C is
1)    
2 2 9 3x 3y 2 x y 2 36      
2)    
2 2 3x 3y 2 9 x y 2 36      
3)    
2 2 3x 3y 2 x y 2 9      
4)    
2 2 3x 3y 2 x y 2 81      

Answer 1

Answer:

The denominator of a rational number is 3 less than by its numinator. If the numinator is increased by 2 and the denominator is decreased by 1 then fraction become 3/2