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

Let L be the length of the normal chord of the parabola y^(2)=8x which makes an angle pi//4 with the axis of x , then L is equal to (sqrt2=1.41)

The length of the chord intercepted on the line 2x-y+2=0 by the parabola x^(2)=8y is l then l=

Let L be the end of a latus rectum of the ellipse 2x^(2) +4y^(2) =1 and it is in the third quadrandt, then the eccentric angle of L is-

Suppose the eccentricity of the ellipse x^2/(a^2+3)+ y^2/(a^2+4)=1 is 1//sqrt8 . Let l be the latus rectum of the ellipse, then l equals

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=int_e^(e^2) dx/logx and l_2=int_1^2 e^x/xdx , then (A) l_1=2l_2 (B) l_1+l_2=0 (C) 2l_1=l_2 (D) l_1=l_2

If l_1=int_e^(e^2) dx/logx and l_2=int_1^2 e^x/xdx , then (A) l_1=2l_2 (B) l_1+l_2=0 (C) 2l_1=l_2 (D) l_1=l_2

Let l_(1) be the length of the latus rectum of the parabola 9x^(2)-6x+36y+19=0. Let l_(2), be the length of the latus rectum of the hyperbola 9x2-16y^(2)-18x-32y-151=0. Let n be the unit digit in the product of l_(1) and l_(2) The number of terms in the binomial expansion of (1+x)^(n) is

If L is the length of the latus rectum of the parabola 289{(x-3)^(2)+(y-1)^(2)}=(15x-8y+13)^(2) then L is equal to