Home
Class 12
MATHS
The range of values of alpha for which t...

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 `[1,oo)` (b) `[-1,oo)` `(0,1)` (d) `(-oo,1]`

Promotional Banner

Similar Questions

Explore conceptually related problems

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]

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

The equation of the normal at P(x_(1),y_(1)) to the circle x^(2)+y^(2)+2gx+2fy+c=0 is

If alpha is the angle subtended at P(x_(1),y_(1)) by the circle S-=x^(2)+y^(2)+2gx+2fy+c=0 then

The range of g so that we have always a chord of contact of tangents drawn from a real point (alpha, alpha) to the circle x^(2)+y^(2)+2gx+4y+2=0 , is

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

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

If x=2alpha+1\ a n d\ y=alpha-1 is a solution of the equation 2x-3y+5=0 , find the value of alpha

If the circle x^(2)+y^(2)+2gx+2fy+c=0 touches x- axis at (x_(1),0) then x^(2)+2gx+c =