ASSERTION (A): ABCD is a rectangle. It’s diagonals meet at ‘O’. If OA=2x+4, and OD=3x+1, then x=3 REASON(R):Diagonals of a rectangles are equal and bisect each other.
(A) Both the Assertion and the Reason are correct and the Reason is the correct explanation of the Assertion.
(B) The Assertion and the Reason are correct but the Reason is not the correct explanation of the Assertion.
(C) Our Assertion is true but the Reason is false.
(D) The statement of the Assertion is false but the Reason is true.
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Step-by-step explanation:
In the given figure ABCD is a rectangle.
⇒ OA=2x+4 and OD=3x+1 [Given]
⇒ AC and BD are diagonals of a rectangle.
⇒ We know that diagonals of a rectangle are equal.
⇒ So, AC = BD
We can also write it as,
⇒ 2×OA=2×OD
⇒ 2×(2x+4) =2×(3x+1)
⇒ 2x+4=3x+1
∴ x=3
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