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MHT CET202519 Apr 2025Morning ShiftMathematicsStraight LinesActual

The point of intersection of the diagonals of the rectangle whose sides are contained in the lines x=8, x=10, y =11 and y =12 is

Options

  1. A( 9 2 , 23 )
  2. B(9, 23 2 )
  3. C(7, 21 2 )
  4. D( 7 2 , 21 )

Correct answer

B. (9, 23 2 )

Step-by-step solution

The rectangle boundaries are defined by x=8 , x=10 , y=11 , and y=12 . Its center lies at the intersection of the diagonals. Applying the midpoint formula to opposite vertices A=(8,11) and C=(10,12) gives the intersection coordinates as ( 8+10 2 , 11+12 2 ) . x = 18 2 = 9 and y = 23 2 , yielding the center (9, 23 2 ) . Comparing with the options, B matches the computed result.

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