Consider an acute angled triangle ABC. Statement-I: Minimum value of sec A+ sec B+ sec C is 6 . Because Statement-II: If a continuous curve is concave upward then centroid of the triangle inscribed in the curve always lies above the curve.

Question

Consider an acute angled triangle ABC. Statement-I: Minimum value of sec A+ sec B+ sec C is 6 . Because Statement-II: If a continuous curve is concave upward then centroid of the triangle inscribed in the curve always lies above the curve. (A) Statement-I is true, Statement-II is true ; Statement-II is correct explanation for Statement-I. (B) Statement-I is true, Statement-II is true ; Statement-II is NOT a correct explanation for statement-I. (C) Statement-I is true, Statement-II is false. (D) Statement-I is false, Statement-II is true.

Tardigrade Admin · Accepted Answer

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

Q. Consider an acute angled triangle ABC. Statement-I : Minimum value of secA+secB+secC is 6 . Because Statement-II : If a continuous curve is concave upward then centroid of the triangle inscribed in the curve always lies above the curve.

Statement-I is true, Statement-II is true ; Statement-II is correct explanation for Statement-I.

Statement-I is true, Statement-II is true ; Statement-II is NOT a correct explanation for statement-I.

Statement-I is true, Statement-II is false.

Statement-I is false, Statement-II is true.

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

Q. Consider an acute angled triangle $A BC$ .
Statement-I : Minimum value of $sec A + sec B + sec C$ is 6 . Because
Statement-II : If a continuous curve is concave upward then centroid of the triangle inscribed in the curve always lies above the curve.