Home
Class 12
MATHS
If (a, 0) is a point on a diameter of th...

If (a, 0) is a point on a diameter of the circle `x^(2)+y^(2)=4`, then the equation `x^(2)-4x-a^(2)=0` has

A

distinct roots greater than 1

B

exactly one real root in `(-1,0)`

C

both roots greater than 2

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If (1,2) (2,a) are extremities of a diameter of the circle x^(2)+y^(2)_3x-4y+6=0 then a=

The length of the diameter of the circle x^2+y^2−4x−6y+4=0

The line x+3y=0 is a diameter of the circle x^2+y^2-6x+2y=0

One of the diameters of the circle x^2+y^2-12x+4y+6=0 is given by

Equation of a common tangent to the circle x^(2)+y^(2)-6x=0 and the parabola y^(2)=4x is

Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with the x-axis.

A foot of the normal from the point (4, 3) to a circle is (2, 1) and a diameter of the circle has the equation 2x -y -2 =0 . Then the equation of the circle is:

If one end of a diameter of the circle x^(2) + y^(2) - 4x - 6y + 11 = 0 is (3, 4), then the coordinates of the other end of the diameter are

If (4, 1) be an end of a diameter of the circle x^2 + y^2 - 2x + 6y-15=0 , find the coordinates of the other end of the diameter.

The length of the tangent from a point on the circle x^(2)+y^(2)+4x-6y-12=0 to the circle x^(2)+y^(2)+4x-6y+4=0 is