Circle questions
490 published questions with worked solutions.
- The equation of a circle whose center lies on x + 2y = 0 and touching the lines 3x - 4y + 8 = 0 and 3x - 4y - 28 = 0 is
- The equation of the circle which passes through the points (2, 3) and (4, 5) and whose centre lies on a straight line 4x- y - 3 =...
- The locus of point of intersection of the tangents to the circle x^2+y^2=16, such that the angle between them is 60°, is
- The minimum distance and maximum distance of the point P(2, -7) from the circle x^2 + y^2 - 14x - 10y - 151 = 0 are respectively...
- The equations of the tangents to the circle x^2 + y^2 = 36 which are perpendicular to the line 5x + y = 2, are
- The equations of the tangents to the circle x^2+y^2=36 which are perpendicular to the line 5x+y-2=0 are
- If a circle with centre at (-1, 1) touches the line x + 2y + 4 = 0 then the co-ordinates of the point of contact are
- A pair of tangents are drawn to the circle x^2+y^2+6x-4y-12=0 from a point P(-4, -5), then the area enclosed between these...
- Two tangents to the circle x^2 + y^2 = 4 at the points A and B meet at P(-4, 0). Then the area of quadrilateral PAOB, where 'O'...
- The least distance of the point A(10, 7) from the circle x^2+y^2-4x-2y-20=0 is length of seg. AM. If MM' is the diameter of the...
- The equation of the circle passing through the point (1, 2) and through the points of intersection of x^2 + y^2 - 4x - 6y - 21 =...
- If the line y = mx + 1 meets the circle x^2 + y^2 + 3x = 0 in two points equidistant from and on opposite sides of x-axis, then
- The number of common tangents of the circles given by x^2 + y^2 - 8x - 2y + 1 = 0 and x^2 + y^2 + 6x + 8y = 0 is
- The length of the diameter of the circle which touches the x-axis at the point (1, 0) and passes through the point (2, 3) is
- The circle passing through (1, −2) and touching the axis of x at (3, 0) also passes through the point
- The equation of the circle passing through the foci of the ellipse x^2 16 + y^2 9 = 1, and having centre at (0, 3) is
- If each of the lines 5x + 8y = 13 and 4x − y = 3 contains a diameter of the circle x^2 + y^2 - 2(a^2 - 7a + 11)x - 2(a^2 - 6a +...
- If two vertices of an equilateral triangle are A(−a, 0) and B(a, 0), a > 0, and the third vertex C lies above x-axis then the...
- If the circle x^2 + y^2 - 6x - 8y + (25 - a^2) = 0 touches the axis of x, then a equals.
- Statement 1: The only circle having radius 10 and a diameter along line 2x + y = 5 is x^2 + y^2 - 6x + 2y = 0. Statement 2 : 2x +...
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