" The tangent at point "(2sec theta,3tan theta)" of the "(x^(2))/(4)-(y^(2))/(9)=1" is parallel to "3x-y+4=0" then the value of "theta" is "

If the tangent at the point (2sec theta,3tan theta) to the hyperbola (x^(2))/(4)-(y^(2))/(9)=1 is parallel to 3x-y+4=0 , then the value of theta , is

If the tangent at the point (2sec theta,3tan theta) to the hyperbola (x^(2))/(4)-(y^(2))/(9)=1 is parallel to 3x-y+4=0 , then the value of theta , is

If the tangent at the point (2sec theta,3tan theta) to the hyperbola (x^(2))/(4)-(y^(2))/(9)=1 is parallel to 3x-4y+4=0 , then the value of theta , is

If the tangent at the point (2sec theta,3tan theta) to the hyperbola (x^(2))/(4)-(y^(2))/(9)=1 is parallel to 3x-4y+4=0 , then the value of theta , is

If the tangent at the point (2sec theta,3tan theta) of the hyperbola (x^(2))/(4)-(y^(2))/(9)=1 then the value of theta

If x=a sec theta,y=b tan theta, then prove that (x^(2))/(a^(2))-(y^(2))/(b^(2))=1

The equation of the tangent at the point theta=(pi)/(3) to the ellipse (x^(2))/(9)+(y^(2))/(4)=1 is

The equation of the tangent at a point theta=3pi//4 to the ellipse x^(2)//16+y^(2)//9=1 is

If a chord joining the points P(a sec theta,a tan theta)&Q(a sec theta,a tan theta) on the hyperbola x^(2)-y^(2)=a^(2) is a normal to it at P then show that tan phi=tan theta(4sec^(2)theta-1)