Let L be a normal to the parabola `y^2=4x`.If L passes through the point (9,6) then L is given by

Equation of the other normal to the parabola y^(2)=4x which passes through the intersection of those at (4,-4) and (9,-6) is

Equation of a normal to the parabola y^(2)=32x passing through its focus is lx+my+n=0 then l+m+n=

Let L be a tangent line to the parabola y^(2)=4x - 20 at (6, 2). If L is also a tangent to the ellipse (x^(2))/(2)+(y^(2))/(b)=1 , then the value of b is equal to :

If L is the length of the latus rectum of the hyperbola for which x=3 and y=2 are the equations of asymptotes and which passes through the point (4,6), then the value of (L)/(sqrt(2)) is

Let L_1 be a tangent to the parabola y^(2) = 4(x+1) and L_2 be a tangent to the parabola y^(2) = 8(x+2) such that L_1 and L_2 intersect at right angles. Then L_1 and L_2 meet on the straight line :

Let L be the length of the normal chord of the parabola y^(2)=8x which makes an angle pi//4 with the axis of x , then L is equal to (sqrt2=1.41)

The line l_(1) passing through the point (1,1) and the l_(2), passes through the point (-1,1) If the difference of the slope of lines is 2. Find the locus of the point of intersection of the l_(1) and l_(2)

Let L be the line passing through the point P (1, 2) such that its intercepted segment between the coordinate axes is bisected at P. If L_(1) is the line perpendicular to L and passing through the point (-2, 1) , then the point of intersection of L and L_(1) is :

Let L be the line passing through the point P (1,2) such that its intercepted segment between the co-ordinate axes is bisected at P. If L_(1) is the line perpendicular to L and psssing through the point (-2,1), then the point of intersection of L and L_(1) is