Related InterviewSolutions

• The number of integer values of k for which the chord of the circle x2 + y2 = 125 passing through the point P(8, k) and is bisected at the point P(8, k) with integer slope is ......
• C1 is a circle with centre at A and radius 2. C2 is a circle with centre at B and radius 3. The distance AB is 7. If P is the point of intersection of a transverse common tangent with line AB, then the distance AP is(a)  14/5(b)  7/3(c)  9/4(D)  8/3
• Find the equation of a circle that passes through the point (1, 2) which bisects the circumference of the circle x2 + y2 = 9 and is orthogonal to the circle x2 - y2 − 2x + 8y − 7 = 0.
• Find the equation of the circle passing through the origin which is cutting the chord of equal length √2 on the lines y = x and y = −x.
• A and B are two fixed points in a plane and k > 0, Then the locus of P such that PA:PB = k : 1 is a circle, provided k is not equal to ....
• A rational point in an analytical plane means that both the coordinates of the point are rational numbers. Then the maximum number of rational points on a circle C with centre (0,√2) is ....
• The line λx - y + 1 = 0 cuts the coordinate axes at points P and Q. The line x -  2y + 3 = 0 intersects the coordinate axes at points R and S. If P, Q, R and S are concyclic, then the value of K is .....
• Point P is on the circle x2 + y2 − 2ax = 0. A circle is drawn on OP as diameter where O is the origin. As P moves on the circle, find the locus of the centre of the circle.
• Determine the equation of the circle which touches the line y = x at the origin and bisects the circumference of the circle x2 + y2 + 2y − 3 = 0.
• Tangents are drawn from any point on the circle x2 + y2 + R2 to the circle x2 + y2 + r2. If the line joining the points of intersection of these tangents with the first circle also touches the second, then R:r is(A)  2:1 (B)  1:2(C)  3:1(D) √2 : 1