Tangent of acute angle between the curve...

Tangent of acute angle between the curves `y=|x^2-1|` and `y=sqrt(7-x^2)` at their points of intersection is `(5sqrt(3))/2` (b) `(3sqrt(5))/2` `(5sqrt(3))/4` (d) `(3sqrt(5))/4`

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Find the angle between the lines y=(2-sqrt3)(x+5) and y=(2+sqrt3)(x-7) .

The angle between the lines y = (2-sqrt(3))X + 5 and y = (2+sqrt(3))X - 7 is

(2)/(sqrt(3)+sqrt(5))+(5)/(sqrt(3)-sqrt(5))=x sqrt(3)+y sqrt(5)

Length of the chord of contact of (2,5) with respect to y^(2)=8x is (3sqrt(41))/(2) (2sqrt(17))/(3) (7sqrt(3))/(5) (5sqrt(3))/(7)

The square root of (7+3sqrt(5))(7-3sqrt(5)) is sqrt(5)(b)2(c)4(d)3sqrt(5)

The eccentricity of the hyperbola x^(2)-4y^(2)=1 is a.(sqrt(3))/(2) b.(sqrt(5))/(2) c.(2)/(sqrt(3))d.(2)/(sqrt(5))

3sqrt(4)+2sqrt(9)+5sqrt(4)-sqrt(1)-4sqrt(9)

The length of the tangent of the curve y=x^(2)+2 at (1, 3) is (A) sqrt(5) (B) 3sqrt(5) (C) (3)/(2) (D) (3sqrt(5))/(2)

The length of the tangent of the curve y=x^(2)+2 at (1, 3) is (A) sqrt(5) (B) 3sqrt(5) (C) 3/2 (D) (3sqrt(5))/(2)