Find the value of m, for which the line y=mx + 25sqrt3/3 is a normal to the conic x^2 /16 - y^2 / 9 =1 .
If the straight line y =kx+3 is a tangent to the hyperbola 7x^2-4y^2=28 , find K
Find the area of the triangle formed by any tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 with its asymptotes.
Find the locus of the-mid points of the chords of the circle x^2 + y^2=16 , which are tangent to the hyperbola 9x^2-16y^2= 144
If a gt 2b gt 0 , then the positive value of m for which the line y= mx -b sqrt(1+m^(2)) is a common tangent to the circles x^(2) + y^(2) = b^(2) and (x - a)^(2) + y^(2) = b^(2) is-
If a >2b >0, then find the positive value of m for which y=m x-bsqrt(1+m^2) is a common tangent to x^2+y^2=b^2 and (x-a)^2+y^2=b^2dot
The line y = mx + 1 is a tangent to the curve y^(2) = 4x if the value of m is
Find the equations to the common tangents to the two hyperbolas (x^2)/(a^2)-(y^2)/(b^2)=1 and (y^2)/(a^2)-(x^2)/(b^2)=1
Find the position of the point (6,-5) with respect to the hyperbola (x^(2))/(9)-(y^(2))/(25) = 1
The locus of a point whose chord of contact with respect to the circle x^2+y^2=4 is a tangent to the hyperbola x y=1 is a/an ellipse (b) circle hyperbola (d) parabola
