The length of the straight line `x-3y=1,` intercept by the hyperbola `x^2-4y^2=1` is

The length of the straight line x-3y=1 intercepted by the hyperbola x^2-4y^2=1 is a. 6/(sqrt(5)) b. 3sqrt(2/5) c. 6sqrt(2/5) d. none of these

The length of the straight line x-3y=1 intercepted by the hyperbola x^(2)-4y^(2)=1 is (6)/(sqrt(5)) b.3sqrt((2)/(5))c*6sqrt((2)/(5))d .none of these

If the straight line y =kx+3 is a tangent to the hyperbola 7x^2-4y^2=28 , find K

The straight line x+y=-sqrt2P will touch the hyperbola 4x^2-9y^2=36 if

The straight line x+y=sqrt2P will touch the hyperbola 4x^2-9y^2=36 if

Show that the straight line x + y=1 touches the hyperbola 2x ^(2) - 3y ^(2)= 6. Also find the coordinates of the point of contact.

The length of the portion of the straight line 3x + 4y = 12 intercepted between the axes is

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

Let L_1 be a straight line passing through the origin and L_2 be the straight line x+y=1 . If the intercepts made by the circle x^2+y^2-x+3y=0 on L_1 and L_2 are equal then which of the following equations can represent L_1 ?

The straight line x+ y= sqrt(2) p will touch the hyperbola 4x^(2) - 9y^(2) = 36 if-