1. Tardigrade
  2. Question
  3. Mathematics
  4. Statement-I: The diagonals of the parallelogram whose sides are ℓ x + my + n =0, ℓ x + my + n prime=0, mx +ℓ y + n =0, mx +ℓ y + n prime=0 are perpendicular. Because Statement-II: If the perpedicular distances between parallel sides of a parallelogram are equal, then it is a rhombus.

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Q. Statement-I : The diagonals of the parallelogram whose sides are $\ell x + my + n =0, \ell x + my + n ^{\prime}=0$, $mx +\ell y + n =0, mx +\ell y + n ^{\prime}=0$ are perpendicular.
Because
Statement-II : If the perpedicular distances between parallel sides of a parallelogram are equal, then it is a rhombus.

Straight Lines

Solution:

Correct answer is (a) Statement-I is true, Statement-II is true ; Statement-II is correct explanation for Statement-I.