1
If OA and OB are equal perpendicular chords of the circles x²+y²-2x+4y ...
Circles
2
In a triangle ABC, right angled at A, on the leg AC as diameter, a sem ...
Circles
3
Two congruent circles with centres at (2, 3) and (5, 6), which interse ...
Circles
4
ABCD is a square of unit area. A circle is tangent to two sides of ABC ...
Circles
5
A circle of radius unity is centred at origin. Two particles start mov ...
Circles
6
The value of 'e' for which the set {(x, y) | x² + y² + 2x ≤ 1} ∩ {(x,y ...
Circles
7
Two circles with radii a and b touch each other externally such that θ ...
Circles
8
A straight line, with equation x = 2y + 10 meets the circle with equat ...
Circles
9
Let a and b represent the length of a right triangle's legs. If d is ...
Circles
10
A variable chord of circle x² + y² = 4 is drawn from the point P(3, 5 ...
Circles
11
The angle at which the circles (x - 1)² + y² = 10 and x² + (y-2)² = 5 ...
Circles
12
Any circle through the point of intersection of the lines x + √3y = 1 ...
Circles
13
The value of 'c' for which the set {(x, y) | x² + y² + 2x ≤ 1} ∩ {(x,y ...
Circles
14
A circle is inscribed into a rhombus ABCD with one angle 60°. The dist ...
Circles
15
A circle of constant radius 'a' passes through origin O and cuts the a ...
Circles
16
If a circle of constant radius 3k passes through the origin 'O' and me ...
Circles
17
If the chord y=mx +1 of the circle x² + y² = 1 subtends an angle 45° a ...
Circles
18
The range of values of r for which the point (-5+r/2,-3+r/2) is an i ...
Circles
19
A tangent at a point on the circle x² + y² = a² intersects a concentr ...
Circles
20
If point A is (1, 0) and point B is (0, 1). If point C is on the circ ...
Circles
21
The chord of contact of tangents from three points A, B, C to the cir ...
Circles
22
The equation of the tangent to the circle x² + y² = a², which makes a ...
Circles
23
The area of the triangle formed by the positive x-axis and the normal ...
Circles
24
If the equation of any two diagonals of a regular pentagon belongs to ...
Circles
25
B and C are fixed points having coordinates (3, 0) and (-3, 0), respec ...
Circles
26
A circle is inscribed into a rhombus ABCD with one angle 60°. The dist ...
Circles
27
A straight line with slope 2 and y-intercept 5 touches the circle, x² ...
Circles
28
The equation of a line inclined at an angle π/4 to the X-axis, such th ...
Circles
29
Let C be a circle with two diameters intersecting at an angle of 30°. ...
Circles
30
Tangents are drawn to the circle x² + y² = 1 at the points where it i ...
Circles
31
If the line x cos θ + y sin θ = 2 is the equation of a transverse com ...
Circles
32
If the angle between tangents drawn to x² + y² + 2gx + 2fy + c = 0 fr ...
Circles
33
Radius of the tangent circle that can be drawn to pass through the po ...
Circles
34
Equation of chord of the circle x²+ y²-3x-4y-4=0, which passes through ...
Circles
35
The line 2x-y+1 =0 is tangent to the circle at the point (2, 5) and th ...
Circles
36
A rhombus is inscribed in the region common to the two circles x²+y²-4 ...
Circles
37
The locus of the point (2, 3) such that it is the midpoint of the chor ...
Circles
38
A circle of radius unity is centred at origin. Two particles start mov ...
Circles
39
A pair of tangents are drawn to a unit circle with center at the origi ...
Circles
40
A line meets the co-ordinate axes in A and B. A circle is circumscribe ...
Circles
41
In triangle ABC, equation of side BC is x-y=0, Circumcentre and ortho ...
Circles
42
A square is inscribed in the circle x²+y²-2x+4y-93=0 with its sides pa ...
Circles
43
(-6, 0), (0, 6) and (-7, 7) are the vertices of a triangle ABC. The i ...
Circles
44
The common chord of the circle x² + y² + 6x + 8y - 7=0 and a circle p ...
Circles
45
If the circle x² + y² + 2gx + 2fy + c = 0 is touched by y = x at P su ...
Circles
46
The circle x² + y² = 4 cuts the line joining the points A(1, 0) and B ...
Circles
