" 16.If "3^(x)=(0.3)^(y)=10,000," then "(1)/(x)-(1)/(y)=

If 3^(x) = (0.3)^(y) = 10000 , then find the value of (1)/(x)-(1)/(y) .

If the tangent at (x_(0),y_(0)) to the curve x^(3)+y^(3)=a^(3) meets the curve again at (x_(1),y_(1)) , then (x_(1))/(x_(0))+(y_(1))/(y_(0)) is equal to

If the tangent at (x_(0),y_(0)) to the curve x^(3)+y^(3)=a^(3) meets the curve again at (x_(1),y_(1)) , then (x_(1))/(x_(0))+(y_(1))/(y_(0)) is equal to

1/(3x+y)+1/(3x-y)=3/4 and 1/(3x+y)-1/(3x-y)= -1/4

The equation of the plane which passes through the point of intersection of lines (x-1)/(3)=(y-2)/(1)=(z-3)/(2), and (x-3)/(1)=(y-1)/(2)=(z-2)/(3) and at greatest distance from point (0,0,0) is a.4x+3y+5z=25 b.4x+3y=5z=50c3x+4y+5z=49d.x+7y-5z=2

If the tangent at (x_(0),y_(0)) to the curve x^(3)+y^(3)=a^(3) meet the curve again at (x_(1)y_(1)) prove that (x_(1))/(x_(0))+(y_(1))/(y_(0))=-1

(1+3e^((y)/(x)))dy+3e^((y)/(x))(1-(y)/(x))dx=0

" (1) "x-y-3=0,3x-2y-10=0

If 2[{:(3,4),(5,x):}]+[{:(1,y),(0,1):}]=[{:(7,0),(10,5):}] , then find (x-y) .