Circle questions
490 published questions with worked solutions.
- Let the point B be the reflection of the point A(2,3) with respect to the line 8x-6y-23=0. Let _A and _B be circles of radii 2...
- The equation (x - x_1)(x - x_2) + (y - y_1)(y - y_2) = 0 represents a circle whose centre is
- The set of values of 'c' so that the equation y = |x| + c and x^2 + y^2 - 8|x| - 9 = 0 have no solution, is
- Two diameters of the circle 3x^2 + 3y^2 - 6x - 18y = 0 are along the lines 3x + y = c_1 and x - 3y = c_2. Then, the value of...
- The circle x^2 + y^2 = 4x + 8y + 5 intersects the line 3x - 4y = m at two distinct points, if
- Equation of the circle which of the mirror image of the circle x^2 + y^2 - 2x = 0 in the line x + y = 2 is
- If the lines 2x - 3y = 5 and 3x - 4y = 7 are two diameters of a circle of radius 7, then the equation of the circle is
- The locus of centre of a circle which passes through the origin and cuts off a length of 4 unit from the line x = 3
- Let AB be the intercept of the line y = x the circle x^2 + y^2 - 2x = 0. Then, the equation of the circle with AB as its diameter...
- 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
- If m_1 and m_2 are the slopes of tangents to the circle x^2 + y^2 = 4 from the point (3, 2), then m_1 - m_2 is equal to
- If x - y + 1 = 0 meets the circle x^2 + y^2 + y - 1 = 0 at A and B, then the equation of the circle with AB as diameter is
- The equations of the circle which pass through the origin and makes intercepts of lengths 4 and 8 on the x and y-axes...
- Area of the equilateral triangle inscribed in the circle x^2 + y^2 - 7x + 9y + 5 = 0 is
- The equation of circle which touches the x-axis and y-axis at the points (1, 0) and (0, 1) respectively, is
- If the area of the circle 4x^2 + 4y^2 - 8x + 16y + k = 0 is 9 sq unit, then the value of k is
- The area of the circle whose centre is at (2, 3) and passing through (4, 6), is
- The area of the circle centred at (1, 2) and passing through (4, 6), is
- The equation of the circle of radius 3 that lies in the fourth quadrant and touching the lines x = 0 and y = 0 is
- If the points (2, 0), (0, 1), (4, 5) and (0, c) are concyclic, then the value of c is
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