Circle questions
490 published questions with worked solutions.
- What is the radius of the circle passing through the point (2, 4) and having centre at the intersection of the lines x-y=4 and...
- The two circles x^2+y^2=r^2 and x^2+y^2-10x+16=0 intersect at two distinct points. Then which one of the following is correct?
- What is the equation of the circle which passes through the points (3, -2) and (-2, 0) and having its centre on the line 2x-y-3=0?
- The equation of the circle which passes through the points (1, 0), (0, -6) and (3, 4) is
- The equation of a circle whose end points of a diameter are (x_1, y_1) and (x_2, y_2) is
- If y-axis touches the circle x^2+y^2+gx+fy+ c 4 =0, then the normal at this point intersects the circle at the point
- What is the length of the chord of a unit circle which subtends an angle at the centre?
- What is the maximum number of points of intersection of 5 non-overlapping circles?
- The center of the circle (x-2a)(x-2b)+(y-2c)(y-2d)=0 is
- What is the equation of the circle which touches both the axes in the first quadrant and the line y-2=0?
- The centre of the circle passing through origin and making positive intercepts 4 and 6 on the coordinate axes, lies on the line
- If 3x+y-5=0 is the equation of a chord of the circle x^2+y^2-25=0, then what are the coordinates of the mid-point of the chord?
- Consider the following in respect of the circle 4x^2+4y^2-4ax-4ay+a^2=0 : 1. The circle touches both the axes. 2. The diameter of...
- If (a, b) is the centre and c is the radius of the circle x^2+y^2+2x+6y+1=0, then what is the value of a^2+b^2+c^2?
- The equation of a circle is (x^2-4x+3)+(y^2-6y+8)=0 Which of the following statements are correct? I. The end points of a...
- What is the equation of the circle whose diameter is 10 cm and the equations of two of its diameters are x+y=0 and x-y=0?
- A square is inscribed in a circle x^2+y^2+2x+2y+1=0 and its sides are parallel to coordinate axes. Which one of the following is...
- The circle x^2+y^2-2kx-2ky+k^2=0 touches the x-axis at P and y-axis at Q. What is PQ equal to?
- What is the length of the chord of a unit circle which subtends at the centre of the circle an angle of 45^ ?
- A circle touches each of the lines x-y=0 and x+y=0 at unit distance from the origin. The centre of the circle may be at
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