Question

Radhesh is a class X student and is practicing for his board exam. He draws a circle of radius 9.6 cm. He also draws a chord, whose length is
1. If you measure the perpendicular distance from the centre of the centre of the circle to the chord, you get 6 cm
2. If you draw a triangle with two end points being the end points of the chord and the third point touching the circle, the 3rd angle is 80 degrees

• A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
• B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
• C. EACH statement ALONE is sufficient.
• D. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

Answer 1

The correct option is C EACH statement ALONE is sufficient.

Statement I: Allows you get the answer since the perpendicular from the centre of the circle to the chord is going to bisect the chord. Then using Pythagoras theorem, you can calculate the length of the $\frac{1}{2}$ chord

Statement II: If two sides and the included angle is given, then the third side can be found.