Trigonometry and coordinate geometry

Question 1 of 10

Find the equation of the circle with centre (2, −1) and radius 3.

Question 2 of 10

Solve cos 2x = cos x for 0° ≤ x ≤ 360°.

Question 3 of 10

Find the radius of the circle x² + y² − 4x + 6y − 3 = 0.

Question 4 of 10

The centre of the circle x² + y² − 4x + 6y − 3 = 0 is

Question 5 of 10

The centre and radius of x² + y² − 4x + 6y − 3 = 0 are

Question 6 of 10

If tan A = 3/4 (A acute), find sin 2A.

Question 7 of 10

Find the perpendicular distance from (1, 2) to the line 3x + 4y − 1 = 0.

Question 8 of 10

Express 135° in radians.

Question 9 of 10

The perpendicular distance from (1, 2) to the line 3x + 4y − 1 = 0 is

Question 10 of 10

Solve 2 sin x = 1 for 0° ≤ x ≤ 360°.