Circle questions
490 published questions with worked solutions.
- The parametric equations of the curve x^2 + y^2 + ax + by = 0 are
- The center of the circle whose radius is 3 units and touching internally the circle x^2 + y^2 - 4x - 6y - 12 = 0 at the point...
- If the line x-2y=m (m Z) intersects the circle x^2+y^2=2x+4y at two distinct points, then the number of possible values of m are
- The angle between the tangents drawn from the origin to the circle (x-7)^2+(y+1)^2=25 is
- The centre and radius of the circle (a+1)x^2+3y^2-6x+9y+a+4=0 are respectively …
- The number of common tangents to the circles x^ 2 +y^ 2 -x=0 and x^ 2 +y^ 2 +x=0 are
- Line l : x + y = 4 intersects the circle x^2 + y^2 - 2x - 2y = 2 at points A and B. If C is the center of the circle, then the...
- The equations of the tangent to the curve x^2+y^2=10, where the tangent is parallel to the line 2x+y-1=0, are
- One end of the diameter of the circle x^2 + y^2 - 6x - 5y - 1 = 0 is (-1, 3), then the equation of the tangent at the other end...
- The equation of the circle, concentric with the circle 2x^2+2y^2-6x+8y+1=0 and double of its area is
- The number of circles passing through the origin and touching the lines x+y=1 and x-y=1 is ....
- The tangent to the circle x^2+y^2=10 at the point (3, 1) touches the circle x^2+y^2-2 10 ,x-20y+k=0, then the value of k is...
- The area of the region (in sq- unit) bounded by x-axis, the tangent and normal to the circle x^2+y^2=4, drawn at a point (1, 3 )...
- If z-1 2z+1 is an imaginary number and if it represents a circle then its radius is
- The number of common tangents that can be drawn to the circles x^2 + y^2 - 6x = 0 and x^2 + y^2 + 6x + 2y + 1 = 0 is ....
- A circle passes through the point (0,1) and touches the parabola y = x^ 2 at the point (1,1). The centre of the circle is...
- Let PA and PB be the tangent segments drawn from point P(6, 8) to the circle with the centre at origin O. The radius of circle...
- A line making equal intercepts on coordinate axes and is tangent to the circle x^2 + y^2 = 4. The length of each intercept made...
- The number of integral values of K for which x^2 + y^2 + kx + (1-k)y + 5 = 0 represents a circle whose radius cannot exceeds 5,...
- The equation of the circle passing through the point (1, 1) and having two diameters along the pair of lines x^2 - y^2 - 2x + 4y...
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