the length of intercept made by the line `sqrt2x-y-4sqrt2=0` on the parabola `y^2=4x` is equal to (a) `6sqrt3` (b) `4sqrt3` (c) `8sqrt2` (d) `6sqrt2`

The length of the intercept cut by the line 4x+4sqrt3y-1=0 between the curve y^(2)=x is equal to

The length of intercept cut but the line 4x+4sqrt3y-1=0 on the curve y^(2)=4(x+(3)/(4)) is equal to

The length of the chord y=sqrt3x-2sqrt3 intercepted by the parabola y^(2)=4(x-1) is equal to

The length of the chord of the parabola y^(2)=x which is bisected at the point (2,1) is (a) 2sqrt(3)( b) 4sqrt(3)(c)3sqrt(2) (d) 2sqrt(5)

The length of the chord of the parabola x^(2) = 4y having equations x - sqrt(2) y + 4 sqrt(2) = 0 is

The line x-y+2=0 touches the parabola y^2 = 8x at the point (A) (2, -4) (B) (1, 2sqrt(2)) (C) (4, -4 sqrt(2) (D) (2, 4)

The area of the circle x^2+y^2=16 exterior to the parabola y^2=6x is (A) 4/3(4pi-sqrt(3)) (B) 4/3(4pi+sqrt(3)) (C) 4/3(8pi-sqrt(3)) (D) 4/3(8pi+sqrt(3))

The angle between lines joining the origin to the points of intersection of the line sqrt(3)x+y=2 and the curve y^(2)-x^(2)=4 is equal to (A)tan^(-1)((2)/(sqrt(3)))(B)(pi)/(6)(C)tan^(-1)((sqrt(3))/(2))(D)(pi)/(2)