Circle questions
490 published questions with worked solutions.
- If the circles x^2 + y^2 + 2ax + cy + a = 0 and x^2 + y^2 - 3ax + dy - 1 = 0 intersect in two distinct points P and Q then the...
- If the lines 3x - 4y - 7 = 0 and 2x - 3y - 5 = 0 are two diameters of a circle of area 49 square units, the equation of the...
- Let C be the circle with centre (0, 0) and radius 3 units. The equation of the locus of the mid points of the chords of the...
- Consider a family of circles which are passing through the point (−1, 1) and are tangent to x− axis. If (h, k) are the...
- The point diametrically opposite to the point P(1, 0) on the circle x^2 + y^2 + 2x + 4y - 3 = 0 is
- If P and Q are the points of intersection of the circles x^2 + y^2 + 3x + 7y + 2p - 5 = 0 and x^2 + y^2 + 2x + 2y - p^2 = 0, then...
- The circle x^2 + y^2 = 4x + 8y + 5 intersects the line 3x - 4y = m at two distinct points if
- The two circles x^2 + y^2 = ax and x^2 + y^2 = c^2 (c > 0) touch each other if
- Two tangents drawn from P(1,7) to the circle x^2+y^2=25, touch the circle at Q and R respectively. The area of the quadrilateral...
- If (m_i, 1 m_i ), m_i>0, i= 1,2,3,4 are four distinct points on a circle then the product m_1m_2m_3m_4 is equal to
- The tangent to the circle x^2 + y^2 = 5 at (1, -2) also touches the circle x^2 + y^2 - 8x + 6y + 20 = 0 then the co-ordinates of...
- The equation of the concentric circle, with the circle C_1 having equation x^2+y^2-6x-4y-12=0 and having double area compared to...
- The equation of the circle which passes through the centre of the circle x^2 + y^2 + 8x + 10y - 7 = 0 and concentric with the...
- The equation of the circle which has its centre at the point (3 ,4) and touches the line 5x + 12y – 11 = 0 is
- Angle between the tangents to the circle x^2+y^2=25 from the point (1,7) is
- The parametric equation of the circle x^2+y^2-6x-2y+9=0 are
- If the lines 2x-3y=5 and 3x-4y=7 are the diameters of a circle of area 154 sq.units, the equation of the circle is (Take = 22 7 )
- The equation of tangents to the circle x^2 + y^2 = 4 which are parallel to x - 2y + 3 = 0 are
- The equation of the circle whose centre lies on the line x - 4y = 1 and which passes through the points (3, 7) and (5, 5) is
- The equation of a circle, which passes through the center of the circle x^2 + y^2 + 8x + 10y - 7 = 0 and is concentric with the...
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