" (d) "sqrt(2x+(5)/(3))

If angle between the lines (x-2)/(1)=(y-3)/(2)=(z+5)/(-2) and 2x-y-kz=lambda is cos^(-1)((2sqrt(2))/(3)) then find k( A) sqrt((3)/(5))(B)(3)/(sqrt(5))(C)(sqrt(5))/(3)(D)sqrt((5)/(3))

If x=(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)) and y=(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3)), then (x+y) equals (a) 2(sqrt(5)+sqrt(3))( b) 2sqrt(15)(c)8 (d) 16

" (d) "y=sqrt(3x^(2)+4x+5)

The simplest rationalising factor of 2sqrt(5)-sqrt(3) is 2sqrt(5)+3( b) 2sqrt(5)+sqrt(3)(c)sqrt(5)+sqrt(3) (d) sqrt(5)-sqrt(3)

The simplest rationalising factor of 2sqrt(5)-sqrt(3) is (a) 2sqrt(5)+\ 3 (b) 2sqrt(5)+sqrt(3) (c) sqrt(5)+sqrt(3)\ \ (d) sqrt(5)-sqrt(3)

If x=1+(1)/(3+(1)/(2+(1)/(2+(1)/(2oo))))a sqrt((5)/(2))b*sqrt((3)/(2))csqrt((7)/(3))d.sqrt((5)/(3))

The distance between the parallel lnes y=2x+4 and 6x-3y-5 is (A) 1 (B) 17/sqrt(3) (C) 7sqrt(5)/15 (D) 3sqrt(5)/15

The distance between the parallel lnes y=2x+4 and 6x-3y-5 is (A) 1 (B) 17/sqrt(3) (C) 7sqrt(5)/15 (D) 3sqrt(5)/15

Differentiate the following with respect of x:(x^(3))/(3)-2backslash sqrt(x)+(5)/(x^(2))

If I=intsqrt((5-x)/(2+x))dx , then I equals a) sqrt(x+2)sqrt(5-x)+3sin^(-1)sqrt((x+2)/(3))+C b) sqrt(x+2)sqrt(5-x)+7sin^(-1)sqrt((x+2)/(7))+C c) sqrt(x+2)sqrt(5-x)+5sin^(-1)sqrt((x+2)/(5))+C d)None of these