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Statement-1: If the lengths of two sides...

Statement-1: If the lengths of two sides of a triangle are roots of the equation `x^(2)-12x+35`=0 and the angle opposite to third side is obtuse, then the square of the length of the third side is greater than 74.
Statement- 2: In a `!ABC,cosC=(a^(2)+b^(2)-c^(2))/(2ab)`

A

Statement-1 is True, Statement-2 is true, Statement-2 is a correct explanation for Statement-1.

B

Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1.

C

Statement-1 is True, Statement-2 is False.

D

Statement-1 is False, Statement- 2 is True.

Text Solution

AI Generated Solution

To solve the problem, we need to analyze both statements and determine their validity step by step. ### Step 1: Solve the quadratic equation The first step is to solve the quadratic equation given in Statement 1: \[ x^2 - 12x + 35 = 0 \] ...
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