Lingkaran dan Polinimial

The center and radius of the circle with the equation 𝑥 ² + 𝑦² + 4𝑥 − 6𝑦 − 12 = 0 are ….

• (-2, 3) and 5

• (-2, 3) and 6

• (-2, 3) and 7

• (2, -3) and 5

• (2, -3) and 6

The circle 𝑥² + 𝑦²+ 4𝑥 + 2𝑏𝑦 − 12 = 0 passes through the point (1, 7). The center of the circle is ….

• (2, 3)

• (-2, -3)

• (-2, 3)

• (2, -3)

• (3, 2)

The equation of a circle with center (−1, 3) that is tangent to the Y-axis is ....

• 𝑥 ² + 𝑦² + 2𝑥 − 6𝑦 + 1 = 0

• 𝑥² + 𝑦² − 2𝑥 + 6𝑦 + 1 = 0

• 𝑥 ²+ 𝑦² + 2𝑥 − 6𝑦 + 9 = 0

• 𝑥 ²+ 𝑦² + 𝑥 − 3𝑦 + 9 = 0

• 𝑥 ²+ 𝑦² + 𝑥 − 3𝑦 + 1 = 0

Given the circle 2𝑥² + 2𝑦² − 4𝑥 + 3𝑝𝑦 − 30 = 0 that passes through the point (−2, 1). The equation of the circle that is concentric but has a radius twice that of the given circle is ….

• 2𝑥² + 2𝑦² − 4𝑥 + 12𝑦 − 90 = 0

• 2𝑥² + 2𝑦² − 4𝑥 + 12𝑦 + 90 = 0

• 𝑥² + 𝑦² − 2𝑥 − 6𝑦 − 90 = 0

• 𝑥² + 𝑦² − 2𝑥 + 6𝑦 − 90 = 0

• 𝑥² + 𝑦² − 𝑥 + 3𝑦 − 90 = 0

The equation of a circle with center P(3, 1) that is tangent to the line 3x + 4y + 7 = 0 is ….

• 𝑥² + 𝑦² − 6𝑥 − 2𝑦 + 6 = 0

• 𝑥² + 𝑦² − 6𝑥 + 2𝑦 − 6 = 0

• 𝑥² + 𝑦² + 6𝑥 − 2𝑦 − 6 = 0

• 𝑥² + 𝑦² + 6𝑥 + 2𝑦 − 6 = 0

• 𝑥² + 𝑦² − 6𝑥 − 2𝑦 − 6 = 0

The equation of a circle whose center is located on the line 2𝑥 – 4𝑦 – 4 = 0 and is tangent to the negative X-axis and the negative Y-axis is ….

• 𝑥² + 𝑦² + 4𝑥 + 4𝑦 + 4 = 0

• 𝑥² + 𝑦² + 4𝑥 + 4𝑦 + 8 = 0

• 𝑥² + 𝑦² + 2𝑥 + 2𝑦 + 4 = 0

• 𝑥² + 𝑦² + 2𝑥 + 2𝑦 + 2 = 0

• 𝑥² + 𝑦² + 𝑥 + 𝑦 + 2 = 0

Given a circle with the equation 𝑥² + 𝑦² + m𝑥 + 4 𝑦 + 3 = 0 and the point P(4, 1) lies on the circle. The points A and B, which are both located inside the circle, are ….

• A(-2, 1) and B(-4, 4)

• A(2, -1) and B(4, -4)

• A(2, -1) and B(2, -2)

• A(1, -1) and B(2, -2)

• A(1, -1) and B(4, -4)

Given a circle with the equation 𝑥² + 𝑦² − 6𝑥 − 2𝑦 − 10 = 0. The position of the line y = –2x + 17 with respect to the circle is ….

• The line intersects the circle at two points

• The line does not intersect the circle

• The line is tangent to the circle

• The line lies on the circle

• The line divides the circle into two equal parts

Given a circle with the equation 𝑥² + 𝑦² = 5. If the line y = mx + 5 is tangent to the circle, then the value of m is ….

• 2

• 1

• -1

• -2

• -3

The circle 𝑥² + 𝑦² − 𝐴𝑥 − 10𝑦 + 4 = 0 is tangent to the X-axis. The value of 𝐴 that satisfies this condition is ….

• -8 and 8

• -7 and 7

• -6 and 6

• -5 and 5

• -4 and 4