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Most Important Selected Qs for JEE AdvancedMathematicsStraight Lines

Two particles start from the same point (2,-1) , one moving 2 units along the line x+y=1 and the other 5 units along x-2 y=4 . If the particles move towards increasing y , then their new position will be

Options

  1. A(2- 2, 2-1)
  2. B(2 5+2, 5-1)
  3. C(2+ 2, 2+1)
  4. D(2 5-2, 5 -1)

Correct answer

B. (2 5+2, 5-1)

Step-by-step solution

Let P(2,-1) goes 2 units along x+y=1 upto A and 5 units along x-2 y=4 up to B Slope of P A=-1= 135^ , slope of P B= 1 2 = = 1 5 , = 2 5 aligned & A (x₁+r 135^ , y₁=r 135^ )= (2+2 x- 1 2 ,-1+2 1 2 )=(2- 2, 2-1) & B (x₁+r , y₁+r )= (2+5 2 5 ,-1+ 5 5 )=(2 5+2, 5 -1) aligned

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