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`

Let L_1 be the length of the common chord of the curves x^2 + y^2=9 and y^2= 8x, and L_2 be the length of the latus rectum of y^2=8x, then: (A) L_1 lt L_2 (B) L_1/L_2=sqrt2 (C) L_1gtL_2 (D) L_1=L_2

If L_1 and L_2, are the length of the tangent from (0, 5) to the circles x^2 + y^2 + 2x-4=0 and x^2 + y^2-y + 1 = 0 then

The chord of contact of tangents from a point P to a circle passes through Q. If l_(1) and l_(2) are the length of the tangents from P and Q to the circle,then PQ is equal to (l_(1)+l_(2))/(2) (b) (l_(1)-l_(2))/(2)sqrt(l_(1)^(2)+l_(2)^(2))(d)2sqrt(l_(1)^(2)+l_(2)^(2))

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

The area of triangle formed by the lines l_1 and l_2 and the x-axis is:

If L_(1) = (2.02 +- 0.01)m and L_(2) = (1.02 +- 0.01)m then L_(1) + 2L_(2) is (in m)

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

Supose directioncoisnes of two lines are given by u l+vm+wn=0 and al^2+bm^2+cn^2=0 where u,v,w,a,b,c are arbitrary constnts and l,m,n are directioncosines of the lines. For u=v=w=1 if (n_1 n_2)/(l_1 l_2)=((a+b)/(b+c)) then (A) (m_1m_2)/(l_1 l_2)=((b+c))/((c+a)) (B) (m_1m_2)/(l_1 l_2)=((c+a))/((b+c)) (C) (m_1m_2)/(l_1 l_2)=((a+b))/((c+a)) (D) (m_1m_2)/(l_1 l_2)=((c+a))/((a+b))