If the line `3x+4y=k` is tangent to the circle `x^2+y^2-2x-4y+4=0` , then number of integral values of k is

If y= 3x+c is a tangent to the circle x^2+y^2-2x-4y-5=0 , then c is equal to :

In the line 3x-y= k is a tangent to the hyperbola 3x^(2) -y^(2) =3 ,then k =

A line L is perpendicular to the line 3x-4y-7=0 and touches the circle x^(2)+y^(2)-2x-4y-4=0 , the y -intercept of the line L can be:

A line L is perpendicular to the line 3x-4y-7=0 and touches the circle x^(2)+y^(2)-2x-4y-4=0 , the y -intercept of the line L can be:

If the line x-y+k =0 is a tangent to the parabola x^(2) = 4y then k = ?

If y=2x+k is a tangent to the curve x^(2)=4y , then k is equal to

Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

If the line a x+b y=2 is a normal to the circle x^2+y^2-4x-4y=0 and a tangent to the circle x^2+y^2=1 , then

The acute angle between the line 3x-4y=5 and the circle x^2+y^2-4x+2y-4=0 is theta . Then find the value of 9costheta .

If the straight line ax + by = 2 ; a, b!=0 , touches the circle x^2 +y^2-2x = 3 and is normal to the circle x^2 + y^2-4y = 6 , then the values of 'a' and 'b' are ?