Home
Class 11
MATHS
Let complex numbers alpha and 1/alpha li...

Let complex numbers `alpha and 1/alpha` lies on circle `(x-x_0)^2(y-y_0)^2=r^2 and (x-x_0)^2+(y-y_0)^2=4r^2` respectively. If `z_0=x_0+iy_0` satisfies the equation `2|z_0|^2=r^2+2` then `|alpha|` is equal to (a) `1/sqrt2` (b) `1/2` (c) `1/sqrt7` (d) `1/3`

Promotional Banner

Similar Questions

Explore conceptually related problems

If the circles x^2+y^2-9=0 and x^2+y^2+2alpha x+2y+1=0 touch each other, then alpha is (a) -4/3 (b) 0 (c) 1 (d) 4/3

Let (x_0, y_0) be the solution of the following equations: (2x)^(1n2)=(3y)^(1n3) 3^(1nx)=2^(1ny) The x_0 is 1/6 (b) 1/3 (c) 1/2 (d) 6

The number of ordered pairs which satisfy the equation x^2+2xsin(x y)+1=0 are (where y in [0,2pi] ) 1 (b) 2 (c) 3 (d) 0

Find the number of common tangents that can be drawn to the circles x^2+y^2-4x-6y-3=0 and x^2+y^2+2x+2y+1=0

The system of equations x +2y+3z=1, x-y+4z=0, 2x+y+7z=1 has

Let alpha_1,alpha_2 and beta_1, beta_2 be the roots of the equation ax^2+bx+c=0 and px^2+qx+r=0 respectively. If the system of equations alpha_1y+alpha_2z=0 and beta_1y_beta_2z=0 has a non trivial solution then prove that b^2/q^2=(ac)/(pr)

Two circle x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Then the equation of the circle through their points of intersection and the point (1, 1) is (a) x^2+y^2-6x+4=0 (b) x^2+y^2-3x+1=0 (c) x^2+y^2-4y+2=0 (d)none of these

Find the values of alpha for which the point (alpha-1,alpha+1) lies in the larger segment of the circle x^2+y^2-x-y-6=0 made by the chord whose equation is x+y-2=0

If the system of equations x-k y-z=0, k x-y-z=0,x+y-z=0 has a nonzero solution, then the possible value of k are -1,2 b. 1,2 c. 0,1 d. -1,1

Find the equation of the image of the plane x-2y+2z-3=0 in plane x+y+z-1=0.