If c is small in comparision with `l` then `((l)/(l+c))^(1/2)+((l)/(l-c))^(1/2)=`

If 'c' is small in comparison with l then ((l)/(l+c))^(1//2) + ((l)/(l-c))^(1//2) =

If 'c' is small in comparison with l then ((l)/(l+c))^(1//2) + ((l)/(l-c))^(1//2) =

If L_1&L_2 are the lengths of the segments of any focal chord of the parabola y^2=x , then (a) 1/(L_1)+1/(L_2)=2 (b) 1/(L_1)+1/(L_2)=1/2 (c) 1/(L_1)+1/(L_2)=4 (d) 1/(L_1)+1/(L_2)=1/4

If L_(1)&L_(2) are the lengths of the segments of any focal chord of the parabola y^(2)=x, then (a) (1)/(L_(1))+(1)/(L_(2))=2( b) (1)/(L_(1))+(1)/(L_(2))=(1)/(2)(c)(1)/(L_(1))+(1)/(L_(2))=4(d)(1)/(L_(1))+(1)/(L_(2))=(1)/(4)

If l_(1), l_(2), l_(3) are respectively the perpendicular from the vertices of a triangle on the opposite side, then show that l_(1)l_(2) l_(3) =(a^(2)b ^(2) c^(2))/(8R^(3)).

If l_(1), l_(2), l_(3) are respectively the perpendicular from the vertices of a triangle on the opposite side, then show that l_(1)l_(2) l_(3) =(a^(2)b ^(2) c^(2))/(8R^(3)).

If a rectangle has length L and the width is one-half of the length,then the area of the rectangle is (a) L( b) L^(2)( c) (1)/(2)L^(2)( d ) (1)/(4)L^(2)( e) 2L

In a Kater's pendulum the time periods about the knife edges at distance l_(1) and l_(2) from the centre of gravity are t and t+pi is very small. Show that (4 pi^(2)(l_(1)+l_(2)))/(g)=t(t+(2l_(2)tau)/(l_(2)-l_(1)))

If (l_(1), m_(1), n_(1)) , (l_(2), m_(2), n_(2)) are D.C's of two lines, then (l_(1)m_(2)-l_(2)m_(1))^2+(m_(1)n_(2)-n_(1)m_(2))^2+(n_(1)l_(2)-n_(2)l_(1))^2+(l_(1)l_(2)+m_(1)m_(2)+n_(1)n_(2))^2=