Circle questions
490 published questions with worked solutions.
- The centre of the circle x = 2 + 3 , y = 3 - 1 is
- If the line 3x - 4y - k = 0, (k > 0) touches the circle x^2 + y^2 - 4x - 8y - 5 = 0 at (a, b), then k + a + b is equal to
- If a > 2b > 0, then the positive value of m for which y = mx - b 1 + m^2 is a common tangent to x^2 + y^2 = b^2 and (x - a)^2 +...
- The circle x^2 + y^2 - 8x + 4y + 4 = 0 touches
- If the straight line y = mx lies outside the circle x^2 + y^2 - 20y + 90 = 0, then the value of m will satisy
- If the line y = x + a is a tangent to the circle x^2 + y^2 = a^2, then
- The locus of the point of intersection of two perpendicular tangents to the circle x^2 + y^2 = 16 is
- The equation of the two tangents from (-5, -4) to the circle x^2 + y^2 + 4x + 6y + 8 = 0 are
- The number of common tangents to the circles x^2 + y^2 - y = 0 and x^2 + y^2 + y = 0 is
- For the two circles x^2 + y^2 = 16 and x^2 + y^2 - 2y = 0 there is/are
- Circle(s) touching X-axis at a distance 3 from the origin and having an intercept of length 2 7 on Y-axis is/are
- The circle passing through (1, -2) and touching the X-axis at (3, 0), also passes through the point
- If the equation of the tangent to the circle x^2 + y^2 - 2x + 6y - 6 = 0 parallel to 3x - 4y + 7 = 0 is 3x - 4y + k = 0, then the...
- Circles are drawn through the point (2, 0) to cut intercept of length 5 units on the X-axis. If their centres lies in the first...
- The distance of the mid-point of line joining two points (4, 0) and (0, 4) from the centre of the circle x^2 + y^2 = 16 is
- The equation of family of circles with centre at (h, k) touching the X-axis is given by
- The straight line x + y - 1 = 0 meets the circle x^2 + y^2 - 6x - 8y = 0 at A and B. Then, the equation of the circle of which AB...
- The equation (x - x_1)(x - x_2) + (y - y_1)(y - y_2) = 0 represents a circle whose centre is
- The equation of the circle having x - y - 2 = 0 and x - y + 2 = 0 as two tangents and x - y = 0 as a diameter, is
- If the line y = 7x - 25 meets the circle x^2 + y^2 = 25 in the points A, B, then the distance between A and B is
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