Find the condition that the straight lin...

Find the condition that the straight line `lx+my=n` touches the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1`

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Find the coodition that the straight line lx+my+n=0 is a normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

Find the area of the region bounded by the ellipse (x^(2) )/( a^(2)) +( y^(2))/( b^(2))=1

If the straight line lx+my+n=0 touches the : hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 , show that a^(2) l^(2)-b^(2)m^(2)=n^(2) .

Find the coodition that the straight line lx+my+n=0 is a normal to the circle x^(2)+y^(2)+2gx+2fy+c=0

If the straight line lx+my+n=0 touches the : circle x^(2)+y^(2)=a^(2) , show that a^(2)(l^(2)+m^(2))=n^(2)

Find the condition that the straight line x cos alpha+ y sin alpha=p is a tangent to the : ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

Find the slope of normal to the ellipse , (x^(2))/(a^(2))+(y^(2))/(b^(2))=2 at the point (a,b).

If the straight line lx+my=n is a normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 show that (a^(2))/(l^(2))-(b^(2))/(m^(2))=((a^(2)+b^(2))^(2))/(n^(2)) .

Find the area of the smaller region bounded by the ellips (x^(2) )/(a^(2) )+(y^(2))/( b^(2)) =1 and the straight line (x)/(a) +( y)/(b) =1

Find the eccentric angles of the extremities of the latus recta of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1

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hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1.
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