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Most Important Selected Qs for JEE AdvancedMathematicsStraight Lines

Triangle ABC lies in the Cartesian plane and has an area of 70 sq. units. The coordinates of B and C are (12,19) and (23,20) respecitvely and the coordinates of A are (p, q) . The median to the side B C has slope -5 , then which can be corrected.

Options

  1. Ap+q=47
  2. Bp+q=27
  3. Cp-q=17
  4. Dp-q=13

Correct answer

D. p-q=13

Step-by-step solution

( 39 2 )- q ( 35 2 )- p =-5 from slope aligned & 39-2 q=-5(35-2 p) & 39-2 q=-175+10 p & i.e., 5 p+q=107 aligned | array ccc p & q & 1 12 & 19 & 1 23 & 20 & 1 array |=140 From area i.e. 11 q-p=337,11 q-p=57 Also, 5 p+q=107 _ solving 5 p+q=107 _ solving p=15 & q=32p=20 & q=7 So, p+q=47 p + q =27

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