Circle questions
490 published questions with worked solutions.
- There are two circles whose equations are x^2 + y^2 = 9 and x^2 + y^2 - 8x - 6y + n^2 = 0, n Z . If the two circles have exactly...
- The number of common tangents to the circles x^2 + y^2 = 4 and x^2 + y^2 - 6x - 8y = 24 is
- The number of common tangents to the circles x^2 + y^2 + 2x + 8y - 23 = 0 and x^2 + y^2 - 4x - 10y + 19 = 0 is
- If the circles x^2 + y^2 + 2ax + c = 0 and x^2 + y^2 + 2by + c = 0 touch each other then
- The number of common tangents to the circles one of which passes through the origin and cuts off intercepts 2 from each of the...
- The range of values of for which the circles x^2 + y^2 = 4 and x^2 + y^2 - 4 x + 9 = 0 have two common tangents, is
- The number of common tangents to the circles x^2 + y^2 - 6x - 14y + 48 = 0 and x^2 + y^2 - 6x = 0 is
- Two circles have the equations x^2 + y^2 - 4x - 6y - 8 = 0 and x^2 + y^2 - 2x - 3 = 0. Then
- The equations of two circles are x^2 + y^2 - 26y + 25 = 0 and x^2 + y^2 = 25. Then
- A tangent is drawn to the circle 2(x^2 + y^2) - 3x + 4y = 0 and it touches the circle at point A. The tangent passes through the...
- If the points A(1, 4) and B are symmetrical about the tangent to the circle x^2 + y^2 - x + y = 0 at the origin then coordinates...
- The range of values of m for which the line y = mx + 2 cuts the circle x^2 + y^2 = 1 at distinct or coincident points is
- The line y = mx + 4 + 4m^2 , m R , is a tangent to the circle
- The equation of any tangent to the circle x^2 + y^2 - 2x + 4y - 4 = 0 is
- Two tangents to the circle x^2 + y^2 = 4 at the points A and B meet at P(−4, 0). The area of the quadrilateral PAOB, where O is...
- The chords of contact of the pair of tangents to the circle x^2 + y^2 = 1 drawn from any point on the line 2x + y = 4 pass...
- A foot of the normal from the point (4, 3) to a circle is (2, 1), and a diameter of the circle has the equation 2x - y = 2. Then...
- The line x + y = 1 is a normal to the circle 2x^2 + 2y^2 - 5x + 6y - 1 = 0 if
- The number of feet of normals from the point (7, -4) to the circle x^2 + y^2 = 5 is
- The equation of a chord of the circle x^2 + y^2 - 4x = 0 which is bisected at the point (1, 1) is
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