The condition for a line y = 2x + c to touch the circle `x^(2) + y^(2) = 16` is

Find the conditions that the line (i) y = mx + c may touch the circle x^(2) +y^(2) = a^(2) , (ii) y = mx + c may touch the circle x^(2) + y^(2) + 2gx + 2fy + c = 0 .

Find k if line y = sqrt(3)x + k touches the circle x^(2) + y^(2) = 16.

Find k , if the line y = 2x + k touches the circle x^(2) + y^(2) - 4x - 2y =0

Fill in the blanks by choosing the correct answer from the given alternatives : The line y = x + k touches the circle x^2 + y^2 = 16 if k = ______.

Line 3x + 4y = 25 touches the circle x^(2) + y^(2) = 25 at the point

If the straight line 3x + 4y = k touches the circle x^(2) + y^(2) = 16 x , then the values of k are

Find the condition that the straight line y = mx + c touches the hyperbola x^(2) - y^(2) = a^(2) .

Find the condition that the straight line y = mx + c touches the hyperbola x^(2) - y^(2) = a^(2) .

The line x + y tna theta = cos theta touches the circle x ^(2) + y ^(2) = 4 for