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KCET2014MathematicsVector Algebra

A straight line passes through the points ( (5,0) ) and ( (0,3) ). The length of perpendicular from the point ( (4,4) ) on the line is

Options

  1. A( 13 2 )
  2. B( 17 2 )
  3. C( 15 34 )
  4. D( 17 2 )

Correct answer

B. ( 17 2 )

Step-by-step solution

Given that, ( A(5,0), B(0,3) ) Now, ( y-0= ( 3-0 -5 )(x-5) ) [ -5 y=3 x-15 ] Therefore, length of perpendicular line is given by [ array l | 3(4)+5(4)-15 3²+5² | = 17 34 = 17 2 array ]

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