ABCD is a parallelogram. What kind of quadrilateral will it be if, AC is perpendicular to BD but not equal to it?

Parallelogram

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Rhombus

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Rectangle

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Square

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Solution

The correct option is B
Rhombus

$A C ⊥ B D$

$A C \neq B D$

$∴$ ABCD is a rhombus

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Q. Given that ABCD is a parallelogram. If AC is perpendicular to BD but is not equal to it then ABCD is a Rhombus.

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ABCD is a parallelogram. What kind of quadrilateral will it be if, AC is perpendicular to BD but not equal to it?

The correct option is B Rhombus AC⊥BD AC≠BD ∴ ABCD is a rhombus

The correct option is B
Rhombus

$A C ⊥ B D$

$A C \neq B D$

$∴$ ABCD is a rhombus