Circle questions
490 published questions with worked solutions.
- The centres of two circles C_1 and C_2 each of unit radius are at a distance of 6 units from each other. Let P be the mid-point...
- Two parallel chords of a circle of radius 2 are at a distance 3 + 1 apart. If the chords subtend at the centre, angles of...
- The number of common tangents to the circles x^2 + y^2 - 4x - 6y - 12 = 0 and x^2 + y^2 + 6x + 18y + 26 = 0, is
- If y + 3x = 0 is the equation of a chord of the circle x^2+y^2-30x = 0, then the equation of the circle with this chord as...
- Let the tangents drawn to the circle, x^2+y^2 = 16 from the point P(0,h) meet the x-axis at points A and B. If the area of APB is...
- If a circle passing through the point (-1,0) touches y-axis at (0,2), then the x-intercept of the circle is
- A circle passes through (-2,4) and touches the y-axis at (0,2). Which one of the following equations can represent a diameter of...
- Equation of the tangent to the circle, at the point (1,-1), whose center, is the point of intersection of the straight lines x-y...
- If two parallel chords of a circle, having diameter 4 units, lie on the opposite sides of the center and subtend angles ^ -1 ( 17...
- If a point P(0,-2) and Q is any point on the circle, x^2+y^2-5x-y+5 = 0, then the maximum value of (PQ)^2 is:
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