Home
Class 12
MATHS
The line ax+by+c=0 is normal to the circ...

The line ax+by+c=0 is normal to the circle
`x^2+y^2+2gx+2fy+d=0`, if

A

ag+bf+c=0

B

ag+bf-c=0

C

ag-bf+c=0

D

ag-bf-c=0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

The line ax+by+c=0 is normal to the circle x^(2)+y^(2)+2gy+2fy+d=0, if

The line ax +by+c=0 is an normal to the circle x^(2)+y^(2)=r^(2) . The portion of the line ax +by +c=0 intercepted by this circle is of length

The range of values of alpha for which the line 2y=gx+alpha is a normal to the circle x^(2)=y^(2)+2gx+2gy-2=0 for all values of g is (a)[1,oo)(b)[-1,oo)(c)(0,1)(d)(-oo,1]

Find the locus of the mid-point of the chords of the circle x^2 + y^2 + 2gx+2fy+c=0 which subtend an angle of 120^0 at the centre of the circle.

The length of the tangent drawn from any point on the circle x^(2) + y^(2) + 2gx + 2fy + a =0 to the circle x^(2) + y^(2) + 2gx + 2fy + b = 0 is

Show that the length of the tangent from anypoint on the circle : x^2 + y^2 + 2gx+2fy+c=0 to the circle x^2+y^2+2gx+2fy+c_1 = 0 is sqrt(c_1 -c) .

Find the centre and radius of the circle ax^(2) + ay^(2) + 2gx + 2fy + c = 0 where a ne 0 .

The centre of the circle that cuts the circle x^(2)+y^(2)+2gx+2fy+c=0 and lines x=g and y=f orthogonally is

If the origin lies inside the circle x^(2) + y^(2) + 2gx + 2fy + c = 0 , then

What is the length of the intercept made on the x-axis by the circle x^(2) +y^(2) + 2gx + 2fy + c = 0 ?