First slide

Equation of line in Straight lines

Question

The diagonals of a parallelogram PQRS are along the lines x + 3y = 4 and 6x – 2y = 7. Then PQRS must be a

Moderate

A

rectangle
B

square
C

cyclic quadrilateral
D

rhombus

Solution

Since the product of slopes of the diagonals is –1, therefore, the diagonals are at right angles. Hence, PQRS is a rhombus

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