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AP EAMCET2007MathematicsStraight Lines

In the triangle with vertices at A(6,3), B(-6,3) and C(-6,-3) , the median through A meets B C at P , the line A C meets the x -axis at Q , while R and S respectively denote the orthocentre and centroid of the triangle. Then the correct matching of the coordinates of points in List-I to List-II is array llll & List-I & & List-II (i) & P & (A) & (0,0) (ii) & Q & (B) & (6,0) (iii) & R & (C) & (-2,1) (iv) & S & (D) (-6,

Options

  1. Aarray llll D & A & E & C array
  2. Barray llll D & B & E & C array
  3. Carray llll D & A & F & C array
  4. Darray llll B & A & F & C array

Correct answer

C. array llll D & A & F & C array

Step-by-step solution

A(6,3), B(-6,3), C(-6,-3) forms a right angled triangle. In which B=90^ Equation of A C is y-3= -3-3 -6-6 (x-6) aligned & y-3= -6 -12 (x-6) & 2 y-6=x-6 & x=2 y aligned aligned & P= Mid point of B C= ( -6-6 2 , 3-3 2 )=(-6,0) & Q= The point where A C meets x -axis is (0,0) & R= Orthocentre of A B C=(-6,3) & S= Centroid of A B C=(-2,1) aligned

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