If the straight line y=mx is outside the circle `x^(2)+y^(2)-20y+90=0`, then show that `|m|lt3`.

If the straight line y=mx lies outside the circle x^2+y^2-20y+90=0 then the value of m will satisfy (A) m lt 3 (B) |m|lt3 (C) m gt3 (D) |m|gt3

The straight-line y= mx+ c cuts the circle x^(2) + y^(2) = a^(2) in real points if :

Prove that the straight line y = x + a sqrt(2) touches the circle x^(2) + y^(2) - a^(2)=0 Find the point of contact.

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

Find the length of the intercept on the straight line 4x-3y-10=0 by the circle x^(2)+y^(2)-2x+4y-20=0 .

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

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 ?

The line y=mx+2 touches the hyperola 4x^(2)-9y^(2)=36 then m=

The length of intercept on the straight line 3x + 4y -1 = 0 by the circle x^(2) + y^(2) -6x -6y -7 =0 is

Find the length of intercept on the straight line 2x - y = 5 by the circle x^(2) + y^(2) - 6x + 8y - 5 = 0