Find distance of the point (-2,3,-4) from the line (x+2)/3=(2y+3)/4=(3z+4)/5, measured parallel to the plane 4x+12y-3z+1=0

3 rotten apples are are mixed with 7 fresh appl, find the probability distribution of number of rotten apples 3 apples are drawn at random (without replacement) . also find the mean of distribution....

(1+x^{2}+y^{2}+x^{2}y^{2}) ^{1/2} + xy dy/dx =0 how to solve dis diffrential equation!?! ..please ans asap!! :)

integrate 1/(sinx+cosx)?

bold letters=vector

if a x b=c x d and a x c= b x d show that (a-d) is parallel to (b-c) wher a isnot =d and b isnot=c

If straight line x cos(alpha) + y sin(alpha) = p touches the curve x^{2}/a^{2} + y^{2}/b^{2} = 1 , then prove that a^{2} cos^{2}(alpha) + b^{2} sin^{2}(alpha) = p^{2}.

find the image of the point ( 1,6,3) inthe line x/1 = y-1/2 = z-2/3. Also write the equation of the line joining the given point and its image and find the length of the segment joining the given point and its image.

urgent ..

formula for sin^{-1}X + sin^{-1}Y , sin^{-1}X -sin^{-1}Y

cos^{-1}X + cos^{-1}Y

cos^{-1}X - cos^{-1}Y

Find the particular solution of dy/dx=1+x^{2} + y^{2} +x^{2}y^{2} given that y=1 and x=0

Integrate wrt x- (sin^6x + cos^6x )/sin^2x cos^2x

Integrate: x^{2}/x^{4}+x^{2}+1 dx

Find distance of the point (-2,3,-4) from the line (x+2)/3=(2y+3)/4=(3z+4)/5, measured parallel to the plane 4x+12y-3z+1=0

3 rotten apples are are mixed with 7 fresh appl, find the probability distribution of number of rotten apples 3 apples are drawn at random (without replacement) . also find the mean of distribution....

(1+x

^{2}+y^{2}+x^{2}y^{2})^{1/2}+ xy dy/dx =0 how to solve dis diffrential equation!?! ..please ans asap!! :)integrate 1/(sinx+cosx)?

bold letters=vector

if

a x b=c x danda x c= b x dshow that(a-d)is parallel to(b-c)wheraisnot =dandbisnot=cIf straight line

x cos(alpha) + y sin(alpha) = ptouches the curvex, then prove that^{2}/a^{2}+ y^{2}/b^{2}= 1a.^{2}cos^{2}(alpha) + b^{2}sin^{2}(alpha) = p^{2}find the image of the point ( 1,6,3) inthe line x/1 = y-1/2 = z-2/3. Also write the equation of the line joining the given point and its image and find the length of the segment joining the given point and its image.

urgent ..

formula for sin

^{-1}X + sin^{-1}Y , sin^{-1}X -sin^{-1}Ycos

^{-1}X + cos^{-1}Ycos

^{-1}X - cos^{-1}YFind the particular solution of dy/dx=1+x

^{2}+ y^{2}+x^{2}y^{2}given that y=1 and x=0Integrate wrt x- (sin^6x + cos^6x )/sin^2x cos^2x

Integrate: x

^{2}/x^{4}+x^{2}+1 dx