The lines 2x – 3y = 5 and 3x – 4y = 7 are diameters of a circle of area 154 sq. units. The equation of the circle is
If a be the radius of a circle which touches xaxis at the origin, then its equation is
1 Crore+ students have signed up on EduRev. Have you? Download the App 
The equation of the circle passing through (3, 6) and whose centre is (2, –1) is
The equation of a circle which passes through the three points (3, 0) (1, –6), (4, –1) is
y = √3 + c_{1} & y = √3 + c_{2} are two parallel tangents of a circle of radius 2 units, then c_{1} – c_{2} is equal to
B and C are fixed point having coordinates (3, 0) and (–3, 0) respectively. If the vertical angle BAC is 90º, then the locus of the centroid of the DABC has the equation
The area of an equilateral triangle inscribed in the circle x^{2} + y^{2} – 2x = 0 is
The length of intercept on yaxis, by a circle whose diameter is the line joining the points (–4,3) and (12,–1) is
The gradient of the tangent line at the point (a cos a, a sin a) to the circle x^{2} + y^{2} = a^{2}, is
lx + my + n = 0 is a tangent line to the circle x^{2} + y^{2} = r^{2}, if
If y = c is a tangent to the circle x^{2}+y^{2}–2x+2y–2 = 0 at (1, 1), then the value of c is
Line 3x + 4y = 25 touches the circle x^{2} + y^{2} = 25 at the point
The equations of the tangents drawn from the point (0, 1) to the circle x^{2} + y^{2}  2x + 4y = 0 are
The greatest distance of the point P(10, 7) from the circle x^{2} + y^{2} – 4x – 2y – 20 = 0 is
The equation of the normal to the circle x^{2}+y^{2} = 9 at the point is
The parametric coordinates of any point on the circle x^{2} + y^{2} – 4x – 4y = 0 are
The length of the tangent drawn from the point (2, 3) to the circles 2(x^{2} + y^{2}) – 7x + 9y – 11 = 0.
Tangents are drawn from (4, 4) to the circle x^{2} + y^{2} – 2x – 2y – 7 = 0 to meet the circle at A and B. The length of the chord AB is
The angle between the two tangents from the origin to the circle (x – 7)^{2} + (y + 1)^{2} = 25 equals
Pair of tangents are drawn from every point on the line 3x + 4y = 12 on the circle x^{2}+ y^{2} = 4. Their variable chord of contact always passes through a fixed point whose coordinates are
The locus of the midpoints of the chords of the circle x^{2} + y^{2} – 2x – 4y – 11 = 0 which subtend 60º at the centre is
The locus of the centres of the circles such that the point (2, 3) is the mid point of the chord 5x + 2y = 16 is
The equation of the circle having the lines y^{2} – 2y + 4x – 2xy = 0 as its normals & passing through the point (2, 1) is
A circle is drawn touching the xaxis and centre at the point which is the reflection of (a, b) in the line y – x = 0. The equation of the circle is
The number of common tangents of the circles x^{2} + y^{2} – 2x – 1 = 0 and x^{2} + y^{2} – 2y – 7 = 0
The point from which the tangents to the circles x^{2} + y^{2} – 8x + 40 = 0, 5x^{2} + 5y^{2} – 25 x + 80 = 0, x^{2} + y^{2} – 8x + 16y + 160 = 0 are equal in length is
If the circle x^{2} + y^{2} = 9 touches the circle x^{2} + y^{2} + 6y + c = 0, then c is equal to
The tangent from the point of intersection of the lines 2x – 3y + 1 = 0 and 3x – 2y –1 = 0 to the circle x^{2} + y^{2} + 2x – 4y = 0 is
The length of the common chord of circles x^{2} + y^{2} – 6x – 16 = 0 and x^{2} + y^{2} – 8y – 9 = 0 is
The distance between the chords of contact of tangents to the circle x^{2} + y^{2} + 2gx + 2fy + c = 0 from the origin and from the point (g, f) is
209 videos443 docs143 tests

209 videos443 docs143 tests
