Home
Class 11
MATHS
Let C1, C2, ,Cn be a sequence of conc...

Let `C_1, C_2, ,C_n ` be a sequence of concentric circle. The nth circle has the radius `n` and it has `n` openings. A points `P` starts travelling on the smallest circle `C_1` and leaves it at an opening along the normal at the point of opening to reach the next circle `C_2` . Then it moves on the second circle `C_2` and leaves it likewise to reach the third circle `C_3` and so on. Find the total number of different path in which the point can come out of nth circle.

Promotional Banner

Similar Questions

Explore conceptually related problems

The normal at the point (3, 4) on a circle cuts the circle at the point (-1,-2). Then the equation of the circle is

The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the center of the circle lies on x-2y=4. The radius of the circle is

Two circles intersect at A and B. From a point P on one of the circles lines PAC and PBD are drawn intersecting the second circle at C and D. Prove that CD is parallel to the tangent at P.

A circle x^2 +y^2 + 4x-2sqrt2 y + c = 0 is the director circle of circle S_1 and S_2 , is the director circle of circle S_1 , and so on. If the sum of radii of all these circles is 2, then find the value of c.

Suppose that two circles C_(1) and C_(2) in a plane have no points in common. Then

A circle C_1 , of radius 2 touches both x -axis and y - axis. Another circle C_2 whose radius is greater than 2 touches circle and both the axes. Then the radius of circle is

A particle from the point P(sqrt3,1) moves on the circle x^2 +y^2=4 and after covering a quarter of the circle leaves it tangentially. The equation of a line along with the point moves after leaving the circle is

A circle centred at 'O' has radius 1 and contains the point A. Segment AB is tangent to the circle at A and angleAOB =theta . If point C lies on OA and BC bisects the angle ABO then OC equals

A tangent at a point on the circle x^2+y^2=a^2 intersects a concentric circle C at two points Pa n dQ . The tangents to the circle X at Pa n dQ meet at a point on the circle x^2+y^2=b^2dot Then the equation of the circle is